A consulting group gathers information on consumer preferences around the world to help companies monitor attitudes about health, food, and health care products. They asked people in many different cultures how they felt about the following statement: "I try to avoid eating fast foods." In a random sample of 731 respondents, 334 people were 35 years old or younger and, of those, 171 people agreed (completely or somewhat) with the statement. Of the 397 people over 35 years old, 270 people agreed with the statement. Complete parts a and b below. State the hypotheses for this test. Ho: The distributions of fast food decisions are the same for both age groups. HA: The distributions of fast food decisions are not the same for both age groups. Identify the test statistic for the appropriate chi-square test. x2 - 21.43 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.000 (Round to three decimal places as needed.) Interpret the meaning of the results and state a conclusion, Reject Ho. There is sufficient evidence to conclude that the percentage of people avoiding fast food is different in the two age groups. b) Give a 95% confidence interval for the difference in proportions (old minus young). Assume that all necessary assumptions and conditions are satisfied. Round to three decimal places as needed.)