10. [3.62/9.09 Points] DETAILS PREVIOUS ANSWERS DEVORESTAT9 9.E.053.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Olestra is a fat substitute approved by the FDA for use in snack foods. Because there have been anecdotal reports of gastrointestinal problems associated with olestra consumption, a randomized, double-blind, placebo-controlled experiment was carried out to compare olestra potato chips to regular potato chips with respect to GI symptoms. Among 500 individuals in the TG control group, 18.6% experienced an adverse GI event, whereas among the 500 individuals in the olestra treatment group, 14.8% experienced such an event. LO USE SALT (a) Carry out a test of hypotheses at the 5% significance level to decide whether the incidence rate of GI problems for those who consume olestra chips according to the experimental regimen differs from the incidence rate for the TG control treatment. (Use p, for the TG control group and p, for the Olestra treatment group.) State the relevant hypotheses. OH: P1 - P2 > 0 Ha P 1 - P2 = 0 O Ho: P1 - P2 = 0 Ha: P1 P2 O O HO: P1 - P2 = 0 H 2 : P 1 - P 2 = 0 O Ho: P1 - P2 Co Ha: P1 - P2 = 0 Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = 167 X State the conclusion in the problem context. Reject Ho. The data do not suggest a statistically significant difference between the incidence rates of GI problems between the two groups. O Fail to reject Ho- The data suggest a statistically significant difference between the incidence rates of GI problems between the two groups. Fail to reject Ho. The data do not suggest a statistically significant difference between the incidence rates of GI problems between the two groups. Reject Hor The data suggest a statistically significant difference between the incidence rates of GI problems between the two groups. (b) If the true percentages for the two treatments were 20% and 30%, respectively, what sample sizes (m = n) would be necessary to detect such a difference with probability 0.90? (Round your answer up to the nearest whole number.) 9:48 PM 4/21/2021 Type here to search