In your opinion, how safe is the food you buy? CBS News polled 1048 U.S. adults and asked them the question below.

Overall, how confident are you that the food you buy is safe to eat: very confident, somewhat confident, not too confident, not at all confident?

The pie chart shows the responses to the question. You conduct a survey using the same question. The contingency table shows the results of your survey classified by gender.

EXERCISES
1. Assuming the variables gender and response are independent, did the number of female respondents or male respondents exceed the expected number of "very confident" responses?
2. Assuming the variables gender and response are independent, did the number of female respondents or male respondents exceed the expected number of "somewhat confident" responses?
3. At \(\alpha=0.01\), perform a chi-square independence test to determine whether the variables response and gender are independent. What can you conclude?
In Exercises 4 and 5, perform a chi-square goodness-of-fit test to compare the distribution of responses shown in the pie chart with the distribution of your survey results for each gender. Use the distribution shown in the pie chart as the expected distribution. Use \(\alpha=0.05\).
4. Compare the distribution of responses by females with the expected distribution. What can you conclude?
5. Compare the distribution of responses by males with the expected distribution. What can you conclude?
6. In addition to the variables used in the Case Study, what other variables do you think are important to consider when studying the distribution of U.S. consumers' attitudes about food safety?

Transcribed Image Text:

How Confident Are You That the Food You Buy is Safe to Eat? Not at all confident 2% Very Not too confident, 14% confident 32% Somewhat confident 52% Gender Female Male Response Very confident 96 160 Somewhat confident 232 180 Not too confident Not at all confident 56 52 12 4