Question

According to Humane Society data, 39% of households in the United States have at least one dog. In the United Kingdom, 23% of households have at least one dog. Suppose you select an SRS of 75 households in the U.S. and 80 households in the U.K., and calculate p1= the proportion of households in the U.S. sample that have a dog, and p2= the proportion of households in the U.K. sample that have a dog. Which of the following best describes the sampling distribution of proportions for p1-p2?

A. Mean = 0.16, Standard deviation = 0.024, Shape unknown

B. Mean unknown, Standard deviation unknown, Shape approximately Normal.

C. Mean = 0.16, Standard deviation = 0.024, Shape unknown

D. Mean unknown, Standard deviation unknown, Shape approximately Normal.

E. Mean = 0.16, Standard deviation = 0.073, Shape approximately Normal.

Answer 1

The statistical software output for this problem is:

Hence,

Mean = 0.16, Standard deviation = 0.073, Shape approximately Normal.

Option E is correct.