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    Hypothesis Test - 45 Problems

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    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?


    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?


    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?


    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?


    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?


    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?


    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?


    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.


    22. u06q1 Question 22
    8b) State the correlation coefficient.


    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?


    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?


    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


    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.


    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.


    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.


    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.


    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.



    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

    2. Type II 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.