# Hypothesis Test - 45 Problems

See attached files.

I need help answering the following questions. This is all the information that I have to answer these questions. Can you please put the answers to each question under the question in the space provided or pick one of the multiple choice answers or select true or false please. Can you please high light or pick a different color ink to represent the answers please. I have attached a copy of the full set of questions for this post.

1. u06q1 Question 1

1a) What is the direction of the test?

1. Upper-tailed

2. Lower-tailed

3. Two-tailed

2. u06q1 Question 2

1b) What is the p-value?

1.

3. u06q1 Question 3

1d) Can we conclude that the ball improved his game?

1. Yes

2. No

4. u06q1 Question 4

2a) What is the direction of the test?

1. Upper-tailed

2. Lower-tailed

3. Two-tailed

5. u06q1 Question 5

2b) What is the p-value?

1.

6. u06q1 Question 6

2d) Can we conclude that the librarian's claim is correct?

1. Yes

2. No

7. u06q1 Question 7

3a) What is the direction of the test?

1. Upper-tailed

2. Lower-tailed

3. Two-tailed

8. u06q1 Question 8

3b) What is the p-value?

1.

9. u06q1 Question 9

3d) Can we conclude that music reduces studying capacity?

1. Yes

2. No

10. u06q1 Question 10

4a) What is the direction of the test?

1. Upper-tailed

2. Lower-tailed

3. Two-tailed

11. u06q1 Question 11

4b) What is the p-value?

1.

12. u06q1 Question 12

4d) Can we conclude a difference in voting patterns for men vs. women?

1. Yes

2. No

13. u06q1 Question 13

5a) What is the direction of the hypothesis test?

1. Two-tailed

2. Upper-tailed

3. Lower-tailed

14. u06q1 Question 14

(

5b) What is the computed p-value?

1.

15. u06q1 Question 15

5d) Can we conclude that the reducing diet is effective?

1. Yes

2. No

16. u06q1 Question 16

6a) What is the p-value?

1.

17. u06q1 Question 17

6c) Can we conclude a difference in means?

1. Yes

2. No

18. u06q1 Question 18

6d) Which specific differences are statistically significant?

1. T/F vs. Fill-in

2. Fill-in vs. Multiple Choice

3. T/F vs. Multiple Choice

4. There are no significant differences.

19. u06q1 Question 19

(

7a) What is the p-value?

1.

20. u06q1 Question 20

7c) Can we conclude that car size is dependent on marital status?

1. Yes

2. No

21. u06q1 Question 21

8a) State the regression equation.

1.

22. u06q1 Question 22

(

8b) State the correlation coefficient.

1.

23. u06q1 Question 23

8c) What is the strength of the correlation?

1. Strong

2. Moderate

3. Weak

24. u06q1 Question 24

8d) What percent of variability in course average can be explained by the regression model?

1.

25. u06q1 Question 25

8e) Can we conclude that correlation exists?

1. Yes

2. No

26. u06q1 Question 26

8f) What is the predicted student average in statistics for a student who misses 4 classes?

1.

27. u06q1 Question 27

Which variable makes a significant contribution to the regression model?

1. Age

2. Courses

3. Gender

4. None of the variables make a significant contribution.

28. u06q1 Question 28

9c) How strong is the correlation between GPA and Age?

1. Strong

2. Moderate

3. Weak

29. u06q1 Question 29

9d) What is the predicted GPA for a 35-year old male taking 5 courses?

30. u06q1 Question 30

9e) For every additional year older that a student is, what impact would we predict on the GPA?

1. a decrease of 0.08

2. a decrease of 0.98

3. an increase of 0.01

PART TWO

1. u06q2 Question 12

There is a strong positive correlation between a baby's weight and the size of his/her vocabulary. From this we can conclude that overeating will improve one's vocabulary.

True

False

2. u06q2 Question 14

Given the following hypothesis statements, answer the subsequent question.

H0: the woman doing the Home Pregnancy Test is not pregnant.

H1: the woman doing the Home Pregnancy Test is pregnant.

What would be a Type 2 error for this situation (be specific)?

1. A pregnant woman tested as "pregnant"

2. A pregnant woman tested as "not pregnant"

3. A non-pregnant woman test as "pregnant"

4. A non-pregnant woman test as "not pregnant"

3. u06q2 Question 7

What does it mean to have a negative coefficient in the regression model?

1. That variable reduces the coefficient of determination.

2. The values for that variable must be negative.

3. There is an inverse relationship between that variable and the dependent variable.

4. The correlation is weak.

4. u06q2 Question 10

Assume a significance level were set to .05 and the p-value for an upper-tailed test was .051. Given how close the results were to getting a "reject Ho" decision, what would you suggest the researcher do to improve his/her chances of rejecting the null hypothesis while still maintaining ethical standards?

1. Decrease the sample size

2. Increase the sample size

3. Decrease the significance level

4. Rewrite the null hypothesis

5. u06q2 Question 2

If a null hypothesis is rejected at the .01 significance level, then it would also be rejected at the .05 significance level.

True

False

6. u06q2 Question 5

Before proceeding with a simple linear regression, you should first construct a scatter diagram because you are supposed to remove all outliers from the data.

True

False

7. u06q2 Question 8

If the correlation coefficient equals zero, then no correlation exists between the two variables and the scatter diagram resembles a straight line.

True

False

8. u06q2 Question 11

If you wanted to analyze the correlation between the number of hours practiced and the number of targets hit by a sharpshooter, which variable would be the dependent variable?

1. Number of hours practiced

2. Number of targets hit

3. Neither one is dependent

4. Either one could be dependent (impossible to determine)

9. u06q2 Question 13

A Chi Square test is used to test whether one categorical variable causes another.

True

False

10. u06q2 Question 4

An advertisement claims that chewing NoCav gum reduces cavities. To test the claim, you conduct a study in which 100 participants who chew the gum are compared to the national average for cavities found. To test the research hypothesis that the mean number of cavities for NoCav chewers is below the national average, you use a significance level of .05. Given a resulting p-value is .08, how would you react to the advertised claim?

1. Conclude that the gum reduces cavities

2. Conclude that the gum might reduce cavities

3. Conclude that the gum does not reduce cavities

4. There is insufficient evidence to conclude that the gum reduces cavities

11. u06q2 Question 15

Which hypothesis testing error(s) do you have direct control of?

1. Type I error

3. Both Type I and Type II errors

4. Neither Type I nor Type II errors

12. u06q2 Question 3

We can statistically prove a null hypothesis to be...

1. ...true when we fail to reject the null.

2. ...false when we reject the null.

3. ...sometimes true, sometimes false depending on the test outcome.

4. ...neither true nor false if the test outcome proves nothing.

13. u06q2 Question 9

Assume the regression model for predicting home prices by the square footage were: PRICE = 12510 + 83 (SQRFT) For every additional one square foot, how much does the price increase?

1. $ 1

2. $ 83

3. $ 12,593

4. Cannot be determined from the information given

14. u06q2 Question 1

If the significance level is set to .10, then what is the probability of rejecting the null when the null is in fact true?

1. 90%

2. 10%

3. cannot be determined from the information given

15. u06q2 Question 6

If the hypothesis test for correlation is found to be significant (i.e., we rejected the null hypothesis), what can we automatically conclude about the strength of the correlation?

1. We can conclude that the correlation must be strong.

2. We can conclude that the correlation is not weak.

3. We cannot conclude anything about the strength of the correlation based on the p-value alone.

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#### Solution Summary

The solution provides step-by-step method of performing various hypothesis tests and interpretation of results. All the steps of hypothesis testing (formulation of null and alternate hypotheses, selection of significance level, choosing the appropriate test-statistic, decision rule, calculation of test-statistic and conclusion) have been explained and the statistical analysis has been shown in details. The calculations have also been shown in interactive EXCEL sheets for better understanding and future use of the student.

Hypotheses Testing Error Types

QUESTION 1

A study conducted in March 2009 found that about half of U. S. adults trusted the U. S. government more than U. S. business to solve the economic problems of the United States. However, when the population is subdivided by political party affiliation, the results are very different. The study showed that 72% of Democrats trusted the government more, but only 29% of Republicans trusted the government more. Suppose that you are in charge of updating the study. You will take a national sample of Democrats and a national sample of Republicans and then try to use the results to show statistical evidence that the proportion of Democrats trusting the government more than business is greater than the proportion of Republicans trusting the government more than business.

a. What are the null and alternative hypotheses?

b. What is a Type I error in the context of this study?

c. What is a Type II error in the context of this study?

Also,

(D) TEST THE HYPOTHESES. DECIDE ON THE IN APPROPRIATE ALPHA

QUESTION 2

According to a poll the mean number of cell phone calls per month was 290 for 18 to 24 year olds and 194 for 45 to 54 year olds, where as the mean number of text messages per month was 290 for 18 to 24 year olds and 57 for 45 to 54 year olds. Suppose that the poll was based on a sample of 100 18 to 24 year olds and 100 45 to 54 year olds and that the standard deviation of the number of cell phone calls per month was 100 for 18 to 24 year olds and 90 for 45 to 54 year olds, where as the standard deviation of the number of text messages per month was 90 for 18 18 to 24 years olds and 77 for 45 to 54 year olds.

Using a level of significance of .05

A) IGNORE

B) is ther evidence of a difference in the mean number of cell phone calls per month for 18 to 24 year olds and for 45 to 54 year olds

C)Construct and interpret a 95% confidence interval estimate for the difference in the mean number of cell phone calls per month for 18 to 24 year olds and 45 to 54 year olds

D)IGNORE

E) Is there evidence of a difference in the mean number of text messages per month for 18 to 24 year olds and 45 to 54 year olds

F) Construct and interpret a 95% confidence interval estimate for the difference in the mean number of text messages per month for 18 to 24 year olds and 45 to 54 year olds

G) Based on the results of (A) THROUGH (F) what conclusions can you make concerning cell phone and text message usage between 18 to 24 year olds and 45 to 54 year olds

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