A random sample of 33 subjects who identified themselves as compulsive buyers was obtained and given a questionnaire. They had a mean questionnaire score of 0.64 with a standard deviation of 0.19. Test the claim that the population ofself-identified compulsive buyers has a mean greater than the mean of 0.54 for the general population. Use a 0.05 significance level.

State the null and alternative hypotheses.

A.

H0: =0.54

Ha: >0.54

B.

H0: 0.54

Ha: =0.54

C.

H0: =0.54

Ha: 0.54

D.

H0: =0.54

Ha: <0.54

Find thez-score.

z= ?

(Round to two decimal places asneeded.)

Find theP-value.

TheP-value ?

(Round to four decimal places asneeded.)

State the conclusion.

A.

TheP-value is greaterthan the significance level. There is sufficient evidence to support the claim that the population ofself-identified compulsive buyers has a mean greater than the mean of 0.54 for the general population.

B.

TheP-value is greaterthan the significance level. There isnot sufficient evidence to support the claim that the population ofself-identified compulsive buyers has a mean greater than the mean of 0.54 for the general population.

C.

TheP-value is lessthanorequalto the significance level. There isnot sufficient evidence to support the claim that the population ofself-identified compulsive buyers has a mean greater than the mean of 0.54 for the general population.

D.

TheP-value is lessthanorequalto the significance level. There is sufficient evidence to support the claim that the population ofself-identified compulsive buyers has a mean greater than the mean of 0.54 for the general population.