AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Unit Test — Unit testQuestion 11
11
QuizMultiple Choice

Unit Test — Unit test

Question 11 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

A random sample of 50 pairs of parents and children is selected. The parent is asked to estimate how many hours their child spent watching TV yesterday. The child is asked many hours they spent watching TV yesterday. A 90% confidence interval for the mean difference (parent’s response – child’s response) in the amount of time spent watching TV is 0.25 hours to 2.5 hours. A newspaper columnist writes the headline "Parents overestimate how much time children spend watching TV.” Is this headline supported by the 90% confidence interval?

Answer
A
No, the confidence interval consists entirely of positive numbers.
B
No, the confidence interval does not contain the value of 0 hours.
C
Yes, the confidence interval consists entirely of positive numbers.
D
Yes, the confidence interval does not contain the value of 0 hours.

Explanation

The difference is defined as the parent’s estimate minus the child’s report. The entire 90% confidence interval, from 0.25 to 2.5 hours, is positive, so it supports that parents estimate more TV time on average than children report. Therefore, the headline is supported; choice C is correct.

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