Question 6 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
A researcher is interested in whether parents and their children share the same opinion on topics. She selects a random sample of 31 pairs of mothers and their daughters. Each mother/daughter pair is shown a commercial and asked to rate the likelihood that they would purchase the product on a scale of 1 (not likely) to 5 (very likely). The mean difference (mother – daughter) of the ratings is 0.85 with a standard deviation of 1.59.
Answer
A
Because the P-value is less than α, there is evidence that, on average, mothers and daughters like those in the study would have different opinions about purchasing the product.
B
Because the P-value is greater than α, there is evidence that, on average, mothers and daughters like those in the study would have different opinions about purchasing the product.
C
Because the P-value is less than α, there is not sufficient evidence that, on average, mothers and daughters like those in the study would have different opinions about purchasing the product.
D
Because the P-value is greater than α, there is not sufficient evidence that, on average, mothers and daughters like those in the study would have different opinions about purchasing the product.