While her husband spent 22 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 68 men, 25 said they enjoyed the activity. Eight 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.) O Part (a) State the null hypothesis. O Ho: Pm S Pw O Ho: Pm > Pw O Ho: Pm * Pw O Họ: Pm 2 Pw O Part (b) State the alternative hypothesis. O Hoi Pm = Pw O Hgi Pm> Pw O Hgi Pm + Pw O Hoi Pm < Pw O Part (c) In words, state what your random variable P'm - Pw represents. O P'm - P'w represents the proportion of people who enjoy shopping for electronics.

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.