Which scale in the Dingley and Roux (2014) study included a report of the scale’s readability level? Discuss the acceptability of this readability level for this study population.

In​ 1991, a study was conducted to determine the education levels of people who declare bankruptcy. The percentages are shown in the accompanying table. Also shown in the table is the observed frequency for these education levels from a random sample of individuals who files for bankruptcy in 2017. Use these data to complete parts a through c.

Education level Probability 1991​ (%) Observed Frequency 2017

No high school diploma 21.5%    12

High school diploma    30.3%    38

Some college 35.5%    42

College diploma 9.9%    18   

Advanced degree 2.8​%    5

Total ​100% 115

a. Using alpha α=0.05​, perform a​ chi-square test to determine if the probability distribution for the education levels of individuals who files for bankruptcy changed between 1991 and 2017.

What is the null​ hypothesis, H0​?

A. The distribution of education levels is 12 no high school​ diploma, 38 high school​ diploma, 42 some​ college,18 college​ diploma, and 5 advanced degree.

B. The distribution of education levels follows the normal distribution.

C. The distribution of education levels is 21.5​% no high school​ diploma, 30.3​% high school​ diploma, 35.5​% some​ college, 9.9​% college​ diploma, and 2.8​% advanced degree.

D. The distribution of education levels differs from the claimed or expected distribution.

What is the alternative​ hypothesis, H1​?

A. The distribution of education levels differs from the claimed or expected distribution.

B. The distribution of education levels is​ 20% no high school​ diploma, 20% high school​ diploma, 20% some​ college, 20% college​ diploma, and​ 20% advanced degree.

C. The distribution of education levels does not follow the normal distribution.

D. The distribution of education levels is the same as the claimed or expected distribution.

The test​ statistic, combining the College diploma and Advanced degree​ rows, is . ​(Round to two decimal places as​ needed.)

b. Determine the​ p-value using Excel and interpret its meaning.

Identify a function that can be used in Excel to directly calculate the​ p-value (with no other calculations needed other than calculating the arguments of the function​ itself). (=CHISQ.DIST(x, deg_freedom, cumulative)/=NORM.S.DIST(z, cumulative)/ =CHISQ.DIST.RT(x, deg_freedom)/ =T.DIST.2T(x, deg_freedom)/=T.DIST.RT(x, deg_freedom) pick one

Determine the​ p-value, combining the College diploma and Advanced degree rows.

​p-value=nothing ​(Round to three decimal places as​ needed.)

Interpret the​ p-value.

The​ p-value is the probability of observing a test statistic (greater than/less than/equal to) the test​ statistic, assuming (the distribution of the variable is the normal distribution/the expected frequencies are all equal to 5/the distribution of the variable differs from the given distribution/at least one expected frequency differs from 5/the distribution of the variable differs from the normal distribution/the distribution of the variable is the same as the given distribution) pick one.

c. What conclusion can be drawn about the type of individual who filed for bankruptcy in 2017 vs. the type of individual who filed for bankruptcy in​ 1991?

(Reject/ Do not reject) H0. At the 5​% significance​ level, there (is not/is) enough evidence to conclude that the distribution of education levels (is the same as/differs from) the( normal distribution/claimed or expected distribution/uniform distribution.) pick one Click to select your answer(s).

At a certain fast food restaurant, 77.5% of the customers order items from the value menu. If 14 customers are randomly selected, what is the probability that at least 9 customers ordered an item from the value menu? Use Excel to find the probability.

For this activity, select a recurring quantity from your OWN life for which you have monthly records at least 2 years (including 24 observation in dataset at least). This might be the cost of a utility bill, the number of cell phone minutes used, or even your income. If you do not have access to such records, use the internet to find similar data, such as average monthly housing prices, rent prices in your area for at least 2 years (You must note the data source with an accessible link). Data can also be monthly sales of some particular commodity. 1.4 Please do the descriptive analysis, using the method of index number and Exponential Smoothing individually. And try to explain the pattern you find. 1.5 Use two methods you learned to predict the value of your quantity for the next year (12 months). And make comparison with two results.
MONTHS INTERNET BILL

Jan(2018) 1352

Feb    1434

March    1473

   April 1879
May 3373

June    2249

   July    1327

   August    1536

   September 1810

October 2060

November 3494

December 2399

   Jan(2019) 1410

Feb    1685

March    1724

   April 2223

   May 3794

June 2662

   July 1537

August    1824

September    1888

October    2264

November    3895

December    3124

The average fruit fly will lay 381 eggs into rotting fruit. A biologist wants to see if the average will change for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 393, 398, 355, 365, 354, 384, 381, 386, 351, 350, 387, 394, 390, 370 What can be concluded at the the α = 0.10 level of significance level of significance?

1. For this study, we should use Select an answer z-test for a population proportion t-test for a population mean
2. The null and alternative hypotheses would be:

H0:H0:  ? p μ  ? = > ≠ <       

H1:H1:  ? μ p  ? ≠ = > <    

3. The test statistic ? z t  =  (please show your answer to 3 decimal places.)
4. The p-value =  (Please show your answer to 4 decimal places.)
5. The p-value is ? ≤ >  αα
6. Based on this, we should Select an answer accept reject fail to reject  the null hypothesis.

Assume that the duration of human pregnancies can be described by a Normal model with mean 268 days and standard deviation 14 days.

​a) What percentage of pregnancies should last between 274 and 281 days? (Round to two decimal places as needed.)

​b) At least how many days should the longest 25​% of all pregnancies​ last? (Round to one decimal place as needed.)

​c) Suppose a certain obstetrician is currently providing prenatal care to 58 pregnant women. Let y overbar represent the mean length of their pregnancies. According to the Central Limit​ Theorem, what's the distribution of this sample​ mean, y overbar​? Specify the​ model, mean, and standard deviation.

A. A normal model with mean ___ and standard deviation ___. (Type integers or decimals rounded to two decimal places as needed.)

B. A binomial model with ___ trials and a probability of success of ___. (Type integers or decimals rounded to two decimal places as needed.)

C. There is no model that fits this distribution.

​d) What's the probability that the mean duration of these​ patients' pregnancies will be less than

258 days?

- The probability that the mean duration of these patients' pregnancies will be less than 258 days is ___. (Round to four decimal places as needed.)

​days?

In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. More than a decade ago, high levels of lead in the blood put 83% of children at risk. A concerted effort was made to remove lead from the environment. Now, suppose only 13% of children in the United States are at risk of high blood-lead levels.

(a) In a random sample of 190 children taken more than a decade ago, what is the probability that 50 or more had high blood-lead levels? (Round your answer to three decimal places.)

(b) In a random sample of 190 children taken now, what is the probability that 50 or more have high blood-lead levels? (Round your answer to three decimal places.)

I need a rationale outlining the purpose of why I chose energy drinks

1. This question is to give you a feel for the actual calculations involved with OLS regressions. In this case, the independent variable is time (t). We will talk more about adding time as a variable later. For now, just treat it like any other independent variable x. You should do the calculations manually without a computer. It is very important that you show your work as answers will vary a bit due to rounding errors so I need to know that you followed the correct methodology. I recommend not trying to type up your answers as typing this many numbers will likely involve at least some typos. Consider the following data (continued on next page):

(a) Find the values of b0 and b1.

(b) Find the Coefficient of Determination.

(c) Find the sample correlation coefficient.

(d) Find the estimated standard deviation of b1 and the corresponding t-statistic. At the 1% level of significance, can you reject the null hypothesis? Make sure you state the null and alternative hypotheses.

Please try to include the entire calculations, I need to understand how to solve the question. Also, we can't use Excel to solve this question it must be manual. Thank you SO much in advance.

In 2017, a website reported that only 10% of surplus food is being recovered in the food-service and restaurant sector, leaving approximately 1.5 billion meals per year uneaten. Assume this is the true population proportion and that you plan to take a sample survey of 565 companies in the food service and restaurant sector to further investigate their behavior.

(a) Show the sampling distribution of p, the proportion of food recovered by your sample respondents.

(b) What is the probability that your survey will provide a sample proportion within ±0.03 of the population proportion? (Round your answer to four decimal places.)

(c)What is the probability that your survey will provide a sample proportion within ±0.015 of the population proportion? (Round your answer to four decimal places.)

If x is a binomial random variable, compute P(x) for each of the following cases, rounded to two decimal places:

c)  P(x<1),n=5,p=0.1

d)  P(x≥3),n=4,p=0.5

(1) Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 11 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with σ = 0.28 gram.

(a) Find an 80% confidence interval for the average weights of Allen's hummingbirds in the study region. What is the margin of error? (Round your answers to two decimal places.)

(2) Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 14 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with σ = 0.36 gram.

(a) Find an 80% confidence interval for the average weights of Allen's hummingbirds in the study region. What is the margin of error? (Round your answers to two decimal places.)

(3) Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 16 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with σ = 0.34 gram.

When finding an 80% confidence interval, what is the critical value for confidence level? (Give your answer to two decimal places.)

z_c = ______

(a) Find an 80% confidence interval for the average weights of Allen's hummingbirds in the study region. What is the margin of error? (Round your answers to two decimal places.)

(b) What conditions are necessary for your calculations? (Select all that apply.)

- uniform distribution of weights

- normal distribution of weights

- n is large

- σ is known

- σ is unknown

he age distribution of the Canadian population and the age distribution of a random sample of 455 residents in the Indian community of a village are shown below.

Use a 5% level of significance to test the claim that the age distribution of the general Canadian population fits the age distribution of the residents of Red Lake Village. (a) What is the level of significance?


State the null and alternate hypotheses.

H₀: The distributions are the same.
H₁: The distributions are the same. H₀: The distributions are different.
H₁: The distributions are different.     H₀: The distributions are the same.
H₁: The distributions are different. H₀: The distributions are different.
H₁: The distributions are the same.

(b) Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.)


Are all the expected frequencies greater than 5?

Yes

No    

What sampling distribution will you use?

Student's t uniform    

chi-square binomial

normal

What are the degrees of freedom?


(c) Estimate the P-value of the sample test statistic.

P-value > 0.100

0.050 < P-value < 0.100    

0.025 < P-value < 0.050

0.010 < P-value < 0.025

0.005 < P-value < 0.010

P-value < 0.005

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?

Since the P-value > α, we fail to reject the null hypothesis.

Since the P-value > α, we reject the null hypothesis.    

Since the P-value ≤ α, we reject the null hypothesis.

Since the P-value ≤ α, we fail to reject the null hypothesis.

(e) Interpret your conclusion in the context of the application.

At the 5% level of significance, the evidence is insufficient to conclude that the village population does not fit the general Canadian population.

At the 5% level of significance, the evidence is sufficient to conclude that the village population does not fit the general Canadian population.    

1. use SPSS to calculate a Chi-square test. SPSS output is required to be shown. Create a research question that could be answered using a Chi-square analysis. Remember, this requires categorical data.