Question: A random sample of 31 subjects who identified themselves as compulsive buyers was obtained and given a questionnaire. They had a mean questionnaire score of 0.60 with a standard deviation of 0.17.

Test the claim that the population ofself-identified compulsive buyers has a mean greater than the mean of 0.53 for the general population. Use a 0.05 significance level.

State the null and alternative hypotheses.

a)H0: =0.53

Ha: >0.53

b)H0: 0.53

Ha: =0.53

c)H0: =0.53

Ha: 0.53

d)H0: =0.53

Ha: <0.53

Find thez-score.

Z= _________. (Round to two decimal places asneeded.)

Find theP-value.

TheP-value is _________. (Round to four decimal places asneeded.)

What is the conclusion?

1. The P-value is greater than the significance level. There is sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.53 for the general population.

2. The P-value is less than or equal to the significance level. There is sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.54 for the general population.

3. The P-value is less than or equal to the significance level. There is not sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.54 for the general population.

4. The P-value is greater than the significance level. There is not sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.54 for the general population.

Question: One study, based on responses from 1,015 randomly selected teenagers, concluded that

42% of teenagers cite grades as their greatest source of pressure. Use a 0.05 significance level to test the claim that fewer than half of all teenagers in the population feel that grades are their greatest source of pressure.

Formulate the null and alternative hypotheses. Choose the correct answer below.

a)H0: p=0.5

Ha: p<0.5

b)H0: p<0.5

Ha: p=0.5

c)H0: p=0.5

Ha: p>0.5

d)H 0: p=0.5

Ha: p not =0.5

Find the test statistic.

Z= _________. (Round to two decimal places as needed.)

Find the P-value for the found test statistic.

P-value = ___________. (Round to four decimal places as needed.)

Now choose the conclusion.

1)Reject Upper H 0. There is sufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.

2)Do not reject Upper H 0. There is insufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.

3)Reject Upper H 0. There is insufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.

4)Do not reject Upper H 0. There is sufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.