Question

while her husband spent 2 ½ 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. 7 of the 22 women surveyed claimed to enjoy the activity. Interpret the results of the survey. Conduct a hypothesis test at the 5% level. Let the subscript m = men and w = women. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) State the distribution to use for the test. (Round your answer to four decimal places.) Pm-Pn O Part (e) What is the test statistic? (Round your answer to two decimal places.) O Part (f What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. If H0 is true then there is a chance equal to the ρ value that the proportion of men who en oy shopping for electronic equipment is at least 0.0441 higher than the proportion of women who en oy shopping for electronic If Ho is true, then there is a chance equal to the p-value that the proportion of men who enjoy shopping for electronic equipment is 0.0441 lower than the proportion of women who enjoy shopping for electronic If Ho is false, then there is a chance equal to the p-value that the proportion of men who enjoy shopping for electronic equipment is 0.0441 lower than the proportion of women who enjoy shopping for electronic equipment. If Ho 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 0.0441 higher than the proportion of women who enjoy shopping for electronic equipment Part (g) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value. (Upload your file below.) No file chosen Choose File This answer has not been graded yet. Part (h) Indicate the correct decision (reject or "do not reject the null hypothesis), the reason for it, and write an appropriate conclusion. () Alpha: α .05 (i) Decision: reject the null hypothesis do not reject the null hypothesis (ili) Reason for decision: Since p-value > α. we do not reject the null hypothesis. Since p-value> a, we reject the null hypothesis. Since p-value α, we do not reject the null hypothesis. Since p-value< a, we reject the null hypothesis. (v) Conclusion: There is sufficient evidence to show that the percent of men who enjoy shopping for electronic equipment is higher than the percent of women who enjoy shopping for electronic equipment. There is not sufficient evidence to show that the percent of men who enjoy shopping for electronic equipment is higher than the percent of women who enjoy shopping for electronic equipment.

Answer 1