Suppose you're conducting a two-tailed test on a population mean with known population variance. The variance quantity was taken from an old study. A new study shows the population variance is larger than what you have been using so far and you decide to redo the procedure based on this new population variance and the original sample. Which of the following is likely to happen? Select one: A a. The 95% confidence interval becomes tighter. A b. The p-value increases. c. The absolute value of test statistic increases. A d. The rejection region becomes wider. e. B and D. An article claims that the proportion of people who like the sequel of a movie and did not watch the original (population 1) is more than 5% higher than the proportion of people who like the sequel of a movie and watched the original (population 2). You find that 45 of 50 moviegoers who did not watch the original movie liked the sequel, while 34 out of 50 moviegoers who did watch the original movie liked the sequel. What is the null and alternative hypothesis? Select one: Oa. Ho : p1 - p2 = 0.05 vs HA : P1 - P2 + 0.05 Ob. Ho : p1 - p2 = 0 vs HA : P1 - 2 > 0 O c. Ho : P1 - P2 = 0.05 vs HA : P1 - P2 > 0.05 Od. Ho : p1 - p2 = 0.05 vs HA : P1 - p2 > 0.05 O e. Ho : p1 - p2 = 0.05 vs HA : P1 - P2