Que 1

While her husband spent 2.5 hours picking out new speakers, a statistician decided to determine whether the percent of men who enjoy shopping for electronic equipment is higher than the percent of women who enjoy shopping for electronic equipment. The population was Saturday afternoon shoppers. Out of 69 men, 25 said they enjoyed the activity. Eight of the 23 women surveyed claimed to enjoy the activity. Interpret the results of the survey. Conduct a hypothesis test at the 5% level.

Let M= men and W=women.

Part (a) State the null hypothesis

Part (b) State the alternative hypothesis

Part (c)In words state what your random variable Pm-Pw represents

Part (d) State the distribution to use for the test. (Round your answers to four decimal places)

Part (e) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)

Part (f) What is the p-value? (Round your answer to four decimal places.)

Explain what the p-value means for this problem.

(A) If H0 is true, then there is a chance equal to the p-value that the proportion of men who enjoy shopping for electronic equipment is 0.0145 lower than the proportion of women who enjoy shopping for electronic equipment.

(B) If H0 is false, then there is a chance equal to the p-value that the proportion of men who enjoy shopping for electronic equipment is at least 0.0145 higher than the proportion of women who enjoy shopping for electronic equipment.

(C) If H0 is true, then there is a chance equal to the p-value that the proportion of men who enjoy shopping for electronic equipment is at least 0.0145 higher than the proportion of women who enjoy shopping for electronic equipment.

(D) If H0 is false, then there is a chance equal to the p-value that the proportion of men who enjoy shopping for electronic equipment is 0.0145 lower than the proportion of women who enjoy shopping for electronic equipment.