Questions
You are conducting a study to see if the proportion of voters who prefer the Democratic...

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 54% at a level of significance of αα = 0.01. According to your sample, 51 out of 100 potential voters prefer the Democratic candidate.

  1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
  2. The null and alternative hypotheses would be:
    Ho: ? p μ  ? > ≠ = <   (please enter a decimal)   
    H1: ? p μ  ? ≠ < > =   (Please enter a decimal)
  1. The test statistic ? t z  =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  3. The p-value is ? ≤ >  αα
  4. Based on this, we should Select an answer fail to reject reject accept  the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest the population proportion is not significantly different from 54% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 54%.
    • The data suggest the populaton proportion is significantly different from 54% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 54%
    • The data suggest the population proportion is not significantly different from 54% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 54%.
  6. Interpret the p-value in the context of the study.
    • There is a 54.72% chance that the percent of all voters who prefer the Democratic candidate differs from 54%.
    • There is a 54.72% chance of a Type I error.
    • If the population proportion of voters who prefer the Democratic candidate is 54% and if another 100 voters are surveyed then there would be a 54.72% chance that either fewer than 51% of the 100 voters surveyed prefer the Democratic candidate or more than 57% of the 100 voters surveyed prefer the Democratic candidate.
    • If the sample proportion of voters who prefer the Democratic candidate is 51% and if another 100 voters are surveyed then there would be a 54.72% chance that we would conclude either fewer than 54% of all voters prefer the Democratic candidate or more than 54% of all voters prefer the Democratic candidate.
  7. Interpret the level of significance in the context of the study.
    • If the population proportion of voters who prefer the Democratic candidate is 54% and if another 100 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is different from 54%
    • If the proportion of voters who prefer the Democratic candidate is different from 54% and if another 100 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 54%.
    • There is a 1% chance that the proportion of voters who prefer the Democratic candidate is different from 54%.
    • There is a 1% chance that the earth is flat and we never actually sent a man to the moon.

In: Statistics and Probability

You are conducting a study to see if the proportion of voters who prefer the Democratic...

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 68% at a level of significance of αα = 0.01. According to your sample, 43 out of 56 potential voters prefer the Democratic candidate.

  1. For this study, we should use Select an answer(t-test for a population mean, z-test for a population proportion)
  2. The null and alternative hypotheses would be:
    Ho:( p, μ) (?, =, ≠, >, <) (please enter a decimal)   
    H1: ( p, μ) (?, >, ≠, <, =) (please enter a decimal)
  1. The test statistic ( z, t) =_____ (please show your answer to 3 decimal places.)
  2. The p-value =__________ (Please show your answer to 4 decimal places.)
  3. The p-value is (?, >,≤) α
  4. Based on this, we should Select an answer (reject, fail to reject, accept) the null hypothesis.
  5. Thus, the final conclusion is that ...

*The data suggest the population proportion is not significantly different from 68% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 68%.

*The data suggest the populaton proportion is significantly different from 68% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 68%.

*The data suggest the population proportion is not significantly different from 68% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 68%.

h.Interpret the p-value in the context of the study.

  • *If the population proportion of voters who prefer the Democratic candidate is 68% and if another 56 voters are surveyed then there would be a 15.88% chance that either more than 76% of the 56 voters surveyed prefer the Democratic candidate or fewer than 60% of the 56 voters surveyed prefer the Democratic candidate.
  • *There is a 15.88% chance of a Type I error.
  • *If the sample proportion of voters who prefer the Democratic candidate is 76% and if another 56 voters are surveyed then there would be a 15.88% chance that we would conclude either fewer than 68% of all voters prefer the Democratic candidate or more than 68% of all voters prefer the Democratic candidate.
  • *There is a 15.88% chance that the percent of all voters who prefer the Democratic candidate differs from 68%.

i. Interpret the level of significance in the context of the study.

  • *If the population proportion of voters who prefer the Democratic candidate is 68% and if another 56 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is different from 68%
  • *If the proportion of voters who prefer the Democratic candidate is different from 68% and if another 56 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 68%.
  • *There is a 1% chance that the earth is flat and we never actually sent a man to the moon.
  • *There is a 1% chance that the proportion of voters who prefer the Democratic candidate is different from 68%.

In: Statistics and Probability

Star Industries Ltd would like to hedge its US$10 million payable to a US chip manufacturer,...

Star Industries Ltd would like to hedge its US$10 million payable to a US chip manufacturer, which is due in 90 days. Star approached various banks and obtained the following foreign exchange rate quotes as well as interest rates.

BID ASK
SGD/USD spot rate 0.7120 0.7140 (Note: US$1 per SGD$1 )
SGD/USD forward rate 0.7150 0.7175
US$ 90-day interest rate 0.75% 0.80%
S$ 90-day interest rate 0.5% 0.55%


(a) If Star were to hedge forward its US$10m payable, analyse and compute the amount in Singapore dollars that the firm needs today.

(b) Jack Tan, a recent finance graduate working in Star, suggested an alternative. Instead of doing a forward transaction, he suggested that the firm converts Singapore dollars into US dollars today and deposit the US dollars in a US dollar deposit account. Analyse and compute the amount of Singapore dollars that the firm needs today if it follows Jack’s suggestion.

(c) Assess which alternative is better for the firm.

(d) Examine and discuss whether there are any opportunities for arbitrage profits and their feasibility.

In: Finance

Who is Tim Horton's current leader? Provide a description of him/her. What contributions he/she has made...

Who is Tim Horton's current leader? Provide a description of him/her. What contributions he/she has made to the company?

In: Economics

Accorsi & Sons specializes in selling upscale home theater systems. As a package deal, Accorsi sells...

Accorsi & Sons specializes in selling upscale home theater systems. As a package deal, Accorsi sells a premium home theater package that includes a projector and a one year subscription to premium cable channels for $2,100. Accorsi sells individual projectors for $2,000 and sells individual one-year subscriptions to premium cable channels for $500.

On March 1, 2018, Accorsi delivers a premium home theater package to Valley Hills Nursing Home, which includes the projector and the one-year subscription to the premium cable channels at a price of $2,100. On April 15, 2018, Accorsi receives $2,100 from Valley Hills Nursing Home.

Required:

1. Identify the performance obligation(s) in the premium home theater package?

2. How much revenue will be allocated to each performance obligation?

3. What journal entry (if any) will Accorsi record on March 1, 2018 to record the revenue from the sale of the premium home theater package?

4. What journal entry (if any) will Accorsi record on March 31, 2018?

5. What journal entry will Accorsi record when they receive payment from Valley Hills Nursing Home?

In: Accounting

(1 point) Fueleconomy.gov, the official US government source for fuel economy information, allows users to share...

(1 point) Fueleconomy.gov, the official US government source for fuel economy information, allows users to share gas mileage information on their vehicles. The histogram below shows the distribution of gas mileage in miles per gallon (MPG) from 14 users who drive a 2012 Toyota Prius. The sample mean is 53.3 MPG and the standard deviation is 5.2 MPG. Note that these data are user estimates and since the source data cannot be verified, the accuracy of these estimates are not guaranteed. Report all answers to 4 decimal places.

1. We would like to use these data to evaluate the average gas mileage of all 2012 Prius drivers. Do you think this is reasonable? Why or why not?

? Yes No , because  ? the data distribution seems approximately normal there are 14 data points in the sample user estimates are reliable user estimates are not reliable .

The EPA claims that a 2012 Prius gets 50 MPG (city and highway mileage combined). Do these data provide strong evidence against this estimate for drivers who participate on fueleconomy.gov? Conduct a hypothesis test. Round numeric answers to 3 decimal places where necessary.

2. What are the correct hypotheses for conducting a hypothesis test to determine if these data provide strong evidence against this estimate for drivers who participate on fueleconomy.gov? (Reminder: check conditions)

A. ?0:?=50H0:μ=50 vs. ??:?≠50HA:μ≠50
B. ?0:?=50H0:μ=50 vs. ??:?>50.3HA:μ>50.3
C. ?0:?=53.3H0:μ=53.3 vs. ??:?≠53.3HA:μ≠53.3
D. ?0:?=50.3H0:μ=50.3 vs. ??:?<50HA:μ<50

3. Calculate the test statistic.

4. Calculate the p-value.

5. How much evidence do we have that the null model is not compatible with our observed results?

A. some evidence
B. little evidence
C. extremely strong evidence
D. strong evidence
E. very strong evidence

6. Calculate a 95% confidence interval for the average gas mileage of a 2012 Prius by drivers who participate on fueleconomy.gov.

( ,  )

In: Statistics and Probability

1.CAPACITY PLANNING 1.1 In what case should capacity plan be revised? 2.SUPPLIER MANAGEMENT 2.1 How can...

1.CAPACITY PLANNING
1.1 In what case should capacity plan be revised?

2.SUPPLIER MANAGEMENT
2.1 How can suppliers (who wants highest price) and buyer firm (who wants lowest cost) be partners?

3.LEARNING CURVE
There are 2 firms: Company A and Company B.

3.1 Company A took 150 hours to produce its first unit.
This month it wants to product 500 units.

Using 80% learning curve, how many hours will it
take to produce those 500 units?

3.2 Comany B also produced 500 units.

However, it took B only 50 hours to produce its first unit.
What was was B's learning curve?

In: Operations Management

Imagine that you are a physician and you have just received the results back for a...

Imagine that you are a physician and you have just received the results back for a patient of yours who has just tested positive for the “heartbreak of psoriasis”. The test used will correctly label a person who is suffering from the “heartbreak of psoriasis” as a sufferer 90% of the time and will correctly label a person who is not suffering from the “heartbreak of psoriasis” as not being a sufferer 60% of the time. If the base-rate of suffering from the “heartbreak of psoriasis” is 5%, explain to your patient how likely she is actually suffering from the “heartbreak of psoriasis” on the basis of this positive result.

I got 7.32% using Bayes Theorem. Is this right?

In: Math

The United States of America has long been viewed as a land of opportunity where everyone...

The United States of America has long been viewed as a land of opportunity where everyone is positioned to succeed. Stratification scholars have long argued that opportunity is limited based on the social class one was born into. An individual born into a higher social class background is likely to have more opportunities that one born into a lower social class background. This is believed to be true in post-zombie US as well. To explore this, please see the data from the New Reformed U.S. Census Bureau below comparing the percentage of state residents with a Bachelor’s degree with state median household income collected in 2013. This data represents the 10 most populated states in the Reformed U.S.

State

Percentage of State Residents with a Bachelor’s Degree

Median Household Income

(x$100)

California

29.80

566.45

Texas

22.50

449.22

New York

32.30

513.84

Florida

27.20

455.95

Illinois

31.20

520.06

Pennsylvania

26.60

452.59

Ohio

23.30

471.82

Michigan

26.10

471.82

Georgia

28.10

468.32

New Jersey

35.60

644.70

1. What is the r value for the relationship between the data distributions above?

2. What is the proportion of variance accounted for?

3. You will need to find the regression line for this data. With that in mind, what is the b for this data?

4. What is the a for this data?

5. Using the data above, what is the Y' for an X of 24.8?

6. Using the data above, what is the Y' for an X of 27.65?

7. In your own words but based on the strength and direction of the relationship you calculated, explain the relationship between education and median household income.

In: Statistics and Probability

In the current tax year, IRS, the internal revenue service of the United States, estimates that...

In the current tax year, IRS, the internal revenue service of the United States, estimates that five persons of the many high network individual tax returns would be fraudulent. That is, they will contain errors that are purposely made to cheat the government. Although these errors are often well concealed, let us suppose that a thorough IRS audit will uncover them.

Given this information, if a random sample of 100 such tax returns are audited, what is the probability that exactly five fraudulent returns will be uncovered? Here, the number of trials is n=100. And p=0.05 is the probability of a tax return will be fraudulent. Answer the following questions.

  1. What is the probability that five fraudulent returns will be uncovered based on 100 IRS audits ? (n=100, p=0.05)
  2. If a random sample of 250 high net worth tax returns are audited, what is the probability that the IRS will uncover at least 15 fraudulent errors? (n=250 and P= 0.05)
  3. If a random sample of 250 high net worth tax returns are audited, what is the probability that the IRS would uncover at least 15 fraudulent returns but at most 20 fraudulent returns? (n=250 and P= 0.05)
  4. What is the probability that out of the 250 randomly selected high net worth tax returns no fraudulent return is uncovered? (n=250 and P= 0.05)
  5. Aside from the ethics of tax fraud and based solely on your answers to questions 1-4, do you think it would be advisable to cheat on your tax return? Do you need more information to decide? What type of information?


In: Statistics and Probability