Question

Aaliyah wants to determine how age and gender are related to movie genre preference in her town. She selects a simple random sample of 35 males from the 20- to 30-year age group and records their age, gender, and movie genre preference (comedy, romance, or horror). She also selects an independent simple random sample of 45 females from the 45- to 55-year age group and records the same information. Which is the most important observation about Aaliyah's plan? (3 points)

A. The plan is well conceived and should serve the intended purpose.

B. Her samples are too small.

C. She should have used equal sample sizes.

D. She should have selected the two age groups randomly instead of choosing them specifically.

E. She will be unable to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender.

Answer 1

E. She will be unable to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender.

Explanation:

Answer 2

The correct option is;

E. She will not be able to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender

Explanation:

The question states that Aaliyah randomly selects the following;

First sample

Sample gender = Males

Sample size = 35

Age bracket of sample = 20 to 30 years

Second sample

Sample gender = Females

Sample size = 45

Age bracket of sample = 45 to 55 years

The plan is to determine how age and gender are related to movie genre preference

Appropriate sample distribution to determine movie genre preference is as follows;

Gender = Male

Age bracket = 20 to 55 years

Gender = Female

Age bracket = 20 to 55 years

Therefore, since the samples selected do not cut across the population of the by age and gender of movie genre preference, she will not be able to tell whether a difference in movie genre preference is related to a difference in age or to a difference in gender.