1. Which of the following cannot be a p-value?
2. A..54
3. B.5/21
4. C.1.2
5. D..23

1. If we testH₀:= 40 vs.H_a:40, this test is
2. A.One-sided (left tail).
3. B.One-sided (right tail).
4. C.Two-sided.

his question has three parts)

The "Jupiter Bar" is a candy bar that is only manufactured and sold in one size. Tens of thousands of bars are manufactured every day. Nutritional content appears on the bar's wrapper, including a statement that a given bar has a sodium content of 96 milligrams.Due to variability inherent in all manufacturing, we know that some bars would have slightly less than 96 milligrams of sodium and some bars would have more than 96 milligrams of sodium even if the value of "96 milligrams" appears on the wrapper.However, there is a concern that the average sodium content in all Jupiter Bars is actually more than 96 milligrams, and we have been asked to investigate.

Here are the sodium measurements (in milligrams) from a sample of 20 Jupiter Bars:

88

93

99

104

98

103

96

99

111

90

108

98

101

112

104

102

105

101

95

104

Summary statistcs:

n=20

sample mean=100.55

sample standard deviation=6.304

Q1=97; median=101; Q3=104

Dotplot

Part I

Complete the following:

Q2=__________

How many Jupiter bars have sodium content of 104 and more._______?

Is the distribution right skewed, left skewed, or symmetrical?

Part II

Based on our analysis of our sample data, we are asked to perform a formal hypothesis test (test of significance) to examine if the average sodium content of all Jupiter Bars may actually be more than 96 milligrams.

Develop the correct null and alternative hypotheses using standard statistics symbols.

H₀_________________

H_a__________________

Based on the context of the question we are investigating, answer the following in regard to any assumptions or conditions regarding your sample and/or the population that are necessary for the test procedure you have chosen. of our sample data.

By choosing an appropriatetest procedure, is it a t distribution or z distribution?

Is the standard deviation of the population known or unknown?

In order for us to use this sample of 20 Jupiter Bars to makeinferences about the whole population of Jupiter Bars, whatassumption must we make regarding the population distribution?

Compute the correct test statistic value and record that value here to 3 decimal places (X.XXX).

Teststatistic___________

Compute the correct p-value based on both the test statistic and your hypotheses and record that p-value here to 5 decimal places (X.XXXXX).

p-value___________

Using a significance level of 3%, state clearly if you are rejecting the null hypothesis or failing to reject the null hypothesis.

Part III

A journalist is writing an article about the results of your investigation and has asked you for a one or two sentence quote to include in the article.The journalist asks "What was the purpose of the investigation? What did you conclude?Keep in mind that our readers probably never took a statistics course."In the space below, write one or two sentences that answer both of the journalist's questions in a way that iseasily understoodby the general publicANDis consistent with your work in Part II.

31 points

QUESTION 31

1. EXTRA CREDIT:A study of the career plans of young women and men sent questionnaires to all 722 members of the senior class in the College of Business Administration at the University of Illinois. One question asked which major within the business program the student had chosen. Here are the data from the students who responded:
2. Female
3. Male
4. Accounting
5. 68
6. 56
7. Administration
8. 91
9. 40
10. Economics
11. 5
12. 6
13. Finance
14. 61
15. 59
16. This is an example of a single sample classified according to two categorical variables (gender and major).
18. Compute the expected count for the female economics cell of the table.
20. Give the 2 statistic.
22. Givethe P-value.
24. State your conclusion in a sentence or two.

According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 41% ofcollege studentsnationwide engage in binge drinking behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink islowerthan the national proportion. In a commissioned study, 462 students are selected randomly from a list of all students enrolled at the college. Of these, 162 admitted to having engaged in binge drinking.

The college president is more interested in testing her suspicion that the proportion of students at her college that binge drink is lower than the national proportion of 0.41. Her staff tests the hypotheses

H_o: p= 0.41,H_a: p< 0.41.

Calculate the sample statistic

Samplestatistic

Verify that we can use a normal distribution.(show computational work)

Construct a 90% confidence interval for the proportion of all students at this college that engage in binge drinking.

CI(__________ ,____________)

onsider the following statistical summary of the number of CD's owned as reported in a class survey of 250 students done at Penn State University.

Variable

Mean

Minimum

Q1

Median

Q3

Maximum

Number of CD's

85

0

30

50

100

500

Based on the summary, which of the following statements most likely describes the shape of the number of CD's owned distribution?

A.The distribution is symmetric and bell-shaped

B.The distribution is symmetric but not bell-shaped

C.The distribution is skewed to the left

D.The distribution is skewed to the right

If an observed effect is "statistically significant" it means that:

A.The effect is important in the sample.

B.The effect is important in the population.

C.p-value

1. Use the following description to answer questions #11 and #12.
2. Students in a political science course were asked to describe their politics as "Liberal", "Moderate", or "Conservative."Here are the results.

1. Liberal
2. Moderate
3. Conservative
4. Total
5. Female
6. 30
7. 42
8. 11
9. 83
10. Male
11. 41
12. 47
13. 23
14. 111
15. Total
16. 71
17. 89
18. 34
19. 194
20. What proportion of the class considers themselves to be "Liberal"?
21. A.71/194
22. B.111/194
23. C.41/111
24. D.30/83