Question

In: Statistics and Probability

While her husband spent 2½ hours picking out new speakers, a statistician decided to determine whether...

While her husband spent 2½ 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 65 men, 23 said they enjoyed the activity. Eight of the 25 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.)

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

P'm − P'w ~ ______ (_______ , _______)

B) 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.)

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

D) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

E) Alpha (Enter an exact number as an integer, fraction, or decimal.)
α =

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Expert Solution

orchestra answered 2 years ago
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