Answer to Question #120624 in Statistics and Probability for Joseph Se

Question

1. 80% of Americans start the day with a cereal breakfast. Based on this information, determine if the following statement is true or false.

“The sampling distribution of the proportions of Americans who start the day with a cereal breakfast in random samples of size 40 is right skewed.”

A. True
B. False

Answer 1

Answer: False

Explanation:

The skew of the distribution is (right)positively skewed for p < 0.5 and (left)negatively skewed for p > 0.5. The amount of skew increases as the value of p moves away from 0.5.

Here p=0.8 which is greater than 0.5 and it is actually left skewed.