Please clearly state the step number next to the answers given, thank you!

A political researcher wishes to know if political affiliation and age are related. He has collected data on 283 persons in three age categories. Is there evidence that age and political affiliation are related?

Step 1 of 8: State the null and alternative hypothesis.
H0: political affiliation and age are dependent
Ha: political affiliation and age are independent

OR

H0: political affiliation and age are independent
Ha: political affiliation and age are dependent

Step 2 of 8: Find the expected value for the number of democrats that are 18-31 years old. Round your answer to one decimal place.
Step 3 of 8: Find the expected value for the number of republicans that are 32-51 years old. Round your answer to one decimal place.
Step 4 of 8: Find the value of the test statistic. Round your answer to three decimal places.
Step 5 of 8: Find the degrees of freedom associated with the test statistic for this problem.
Step 6 of 8: Find the critical value of the test at the 0.005 level of significance. Round your answer to three decimal places.
Step 7 of 8: Make the decision to reject or fail to reject the null hypothesis at the 0.005 level of significance.
Step 8 of 8: State the conclusion of the hypothesis test at the 0.005 level of significance. (There is sufficient evidence or there is not sufficient evidence)

Please clearly state the step number next to the answers given, thank you!

A random sample of 12 supermarkets from Region 1 had mean sales of 72.4 with a standard deviation of 6.2. A random sample of 16 supermarkets from Region 2 had a mean sales of 78.3 with a standard deviation of 5.3. Does the test marketing reveal a difference in potential mean sales per market in Region 2? Let μ1 be the mean sales per market in Region 1 and μ2 be the mean sales per market in Region 2. Use a significance level of α=0.05 for the test. Assume that the population variances are not equal and that the two populations are normally distributed.

Step 1 of 4: State the null and alternative hypotheses for the test.
Step 2 of 4: Compute the value of the t test statistic. Round your answer to three decimal places.
Step 3 of 4: Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places. (e.g. Reject H0 if t or |t| is < or > ___________)
Step 4 of 4: State the test's conclusion. (Reject or Fail to Reject)

THE BOLDED LETTER AND NUMBER IS THE GIVEN ANSWER. ONE OF THE BOLDED ANSWERS ARE INCORRECT, WHICH ONE IS INCORRECT AND WHAT IS THE CORRECT ANSWER?

Your company manufactures hot water heaters. The life spans of your product are known to be normally distributed with a mean of 13 years and a standard deviation of 1.5 years. You want to set the warranty on your product so that you do not have to replace more than 5% of the hot water heaters that you sell. How many years should you claim on your warranty?

In a highway construction zone with a posted speed limit of 40 miles per hour, the speeds of all vehicles are normally distributed with a mean of 46 mph and a standard deviation of 3 mph. Find the probability that the speed of a random car traveling through this construction zone is more than 45 mph.

The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of 6.7 minutes and a standard deviation of 2.1 minutes. Find the probability that the delivery time for a random order at this restaurant is between 7 and 8 minutes.

The average number of pounds of red meat a person consumes each year is 196 with a standard deviation of 22 pounds (Source: American Dietetic Association). This distribution is approximately bell-shaped and symmetric. If an individual is randomly selected, find the probability that the number of pounds of red meat they consume each year will be less than 200 pounds.

The pucks used by the National Hockey League for ice hockey must weigh between 5.5 and 6.0 ounces. Suppose the weights of pucks produced at a factory are normally distributed with a mean of 5.75 ounces and a standard deviation of 0.11 ounces. What percentage of pucks produced at this factory cannot be used by the National Hockey League?

1. The distribution of scores on a statistics final exam is approximately normal with a mean of 62 and a standard deviation 11. Find the z-score for a score of 77 on the statistics final exam.

The following data were used in a regression study.

(a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.)

ŷ =  

The estimated regression equation for these data is  ŷ = 1.50 + 2.10x.

(b) Compute SSE, SST, and SSR using equations SSE = Σ(y_i − ŷ_i)², SST = Σ(y_i − y)²,  and SSR = Σ(ŷ_i − y)².

SSE =  

SST =  

SSR =  

(c) Compute the coefficient of determination r².

r² =

For the 2 × 2 game, find the optimal strategy for each player. Be sure to check for saddle points before using the formulas.

For row player R:

For column player C:

Find the value v of the game for row player R.
v =

Who is the game favorable to?

o The game is favorable to the row player.

o The game is favorable to the column player.   

o This is a fair game.

Some types of nerve cells have the ability to regenerate a part of the cell that has been amputated. In a study of this process in lemurs, researchers cut nerves emanating from the spinal cord of a sample of 31animals and measured the content of creatine phosphate (CP). They found a sample mean of 0.213 mg/g, with a standard deviation of 0.094 mg/g.In healthy cells, the CP content is 0.15 mg/g. Assuming all relevant assumptions hold,conduct the appropriate test to determine if CP content in regenerating nerve cells differs from this amount in this population of lemurs.Given: t∗df=2.042

At Rio Salado College, it was observed that 26% of the students were still classified as dependents on their parents. However, in the honors program for students, 70 out of 222 students are dependents. The administrators want to know if the proportion of dependent students in the honors program is significantly different from the proportion for the school district. Test at the α=.05 level of significance.

What is the hypothesized population proportion for this test?
p=
(Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.)

Based on the statement of this problem, how many tails would this hypothesis test have?

one-tailed test
two-tailed test

Choose the correct pair of hypotheses for this situation:
(A)   (B)   (C)
H0:p=0.26

Ha:p<0.26
   H0:p=0.26

Ha:p≠0.26
   H0:p=0.26

Ha:p>0.26

(D)   (E)   (F)
H0:p=0.315

Ha:p<0.315
   H0:p=0.315

Ha:p≠0.315
   H0:p=0.315

Ha:p>0.315
(A)
(B)
(C)
(D)
(E)
(F)

Using the normal approximation for the binomial distribution (without the continuity correction), was is the test statistic for this sample based on the sample proportion?
z=
(Report answer as a decimal accurate to 3 decimal places.)

You are now ready to calculate the P-value for this sample.
P-value =
(Report answer as a decimal accurate to 4 decimal places.)

This P-value (and test statistic) leads to a decision to...

reject the null
accept the null
fail to reject the null
reject the alternative

As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the assertion that there is a different proportion of dependent students in the honors program.
There is not sufficient evidence to warrant rejection of the assertion that there is a different proportion of dependent sudents in the honors program.
The sample data support the assertion that there is a different proportion of dependent sudents in the honors program.
There is not sufficient sample evidence to support the assertion that there is a different proportion of dependent sudents in the honors program.

Please state the step number next to the answers, thank you!

The following table gives the average number of hours 7 junior high students were left unsupervised each day and their corresponding overall grade averages.

Step 1 of 3: Calculate the correlation coefficient, r. Round your answer to six decimal places.
Step 2 of 3: Determine if r is statistically significant at the 0.01 level. (Yes or No)
Step 3 of 3: Calculate the coefficient of determination, r2. Round your answer to three decimal places.

A newspaper infographic titled "Social Media Jeopardizing Your Job?" summarized data from a survey of 1,845 recruiters and human resource professionals. The infographic indicated that 52% of the people surveyed had reconsidered a job candidate based on his or her social media profile. Assume that the sample is representative of the population of recruiters and human resource professionals in the United States.

(a)

Use the given information to estimate the proportion of recruiters and human resource professionals who have reconsidered a job candidate based on his or her social media profile using a 95% confidence interval. (Use a table or technology. Round your answers to three decimal places.

( . , )

Give an interpreation of the interval context
We are 95% confident that the mean number of recruiters and human resource professionals who have reconsidered a job candidate based on his or her social media profile falls within this interval.

We are 95% confident that the true proportion of recruiters and human resource professionals who have reconsidered a job candidate based on his or her social media profile falls within this interval.

There is a 95% chance that the true proportion of recruiters and human resource professionals who have reconsidered a job candidate based on his or her social media profile falls within this interval.

We are 95% confident that the true proportion of recruiters and human resource professionals who have reconsidered a job candidate based on his or her social media profile falls directly in the middle of this interval.

There is a 95% chance that the true proportion of recruiters and human resource professionals who have reconsidered a job candidate based on his or her social media profile falls directly in the middle of this interval.Give an interpretation of the interval in context.

Give an interpretation of the confidence level of 95%.

Of all possible random samples, 95% would result in an interval that includes the actual value of the population proportion.

Of all possible random samples, 95% would result in an interval that lies below the actual value of the population proportion.

Of all possible random samples, 5% would result in an interval that lies above the actual value of the population proportion.

Of all possible random samples, 95% would result in an interval that is centered at the actual value of the population proportion.

Of all possible random samples, 5% would result in an interval that includes the actual value of the population proportion.

(b)

Would a 90% confidence interval be wider or narrower than the 95% confidence interval from part (a)?

wider

narrower

The Scholastic Aptitude Test (SAT), a college entrance examination, has three components: critical reading, mathematics, and writing. The scores on each component are approximately normally distributed with a mean of 500 and standard deviation of 100.

1) If an examinee scored a 650, determine the percent of examines that scored lower than that examinee

2) Determine the range in scores of 95% of the examinees

3) To be placed in the top 10%, determine the minimum score an examinee must receive in each component

A random sample of 120 observations results in 90 successes. [You may find it useful to reference the z table.]

a. Construct the 90% confidence interval for the population proportion of successes. (Round intermediate calculations to at least 4 decimal places. Round "z" value and final answers to 3 decimal places.)  

Confidence interval _____ to _____

b. Construct the 90% confidence interval for the population proportion of failures. (Round intermediate calculations to at least 4 decimal places. Round "z" value and final answers to 3 decimal places.)

Confidence interval _____ to _____

Assuming a random variable X is distributed with a mean of the second digit of your student number, a variance of the last digit of your student number divided by 10 ( if the last digit is zero, use 9).

1. If you take 64 independent samples from X, what is the probability that the sample means is greater than 5?
2. The sample mean that you get from the previous sample is 3.5; please construct a 95% confidence interval based on the previous assumption.  
3. Interpret the confidence interval that you constructed.
4. Based on your sample results that the sample mean is 3.5, assuming you do not know the true populations mean, test the hypothesis that the population mean of X equals to the third digit of your student number. Do you reject or nor reject your hypothesis?
5. Do you think you might have made mistake in your conclusion in step D? Why?
6. If you increase your sample size to 100, would the conclusion in step D change? Why and why not?

What can you tell me about analyzing the statistical significance and p-values

The Apple, Inc. sales manager for the Chicago West Suburban region is disturbed about the large number of complaints her office is receiving about defective ipods. New Apple CEO Tim Cook is also very displeased and wants the situation remedied as soon as possible.

The sales manager examines this Excel file ipod Weekly Complaints, which shows the number of complaints concerning defective ipods received by her office for each of the immediately preceding 52 weeks.

Question 1. Make a histogram of the number of complaints received each week. As your bin range use the values 60, 80, 100, 120, 140, 160 listed in the Excel file. Then select the choice below that is the most appropriate conclusion from the histogram (2 submissions allowed).

The histogram is severely left-skewed; therefore a normal model is not appropriate to describe the number of complaints received each week.The histogram has several outliers; therefore a normal model is not appropriate to describe the number of complaints received each week.     Based on the histogram, it is appropriate to use a normal model to describe the distribution of the number of complaints received each week.The histogram appears to be bi-modal; therefore a normal model is not appropriate to describe the number of complaints received each week.The histogram is severely right-skewed; therefore a normal model is not appropriate to describe the number of complaints received each week.

Question 2.What is the probability that between 77 and 114 complaints are received in one week? Use a N(108,20) model to approximate the distribution of weekly complaints.

ANSWERL .5573

Question 3. Tim Cook decrees that the next time the number of complaints received in one week exceeds the value of the third quartile Q₃, he will register a strong complaint with the ipod assembly plant in China. What is the value of Q₃? (Note: as in question 2, use a N(108,20) model to approximate the distribution of weekly complaints). Use 1 decimal place in your answer.

Q₃.