A blind taste test is conducted to determine which of two oolas. Brand Aor Brand 8. individuals prefer. Individuals are randomly asked to drink one of the two types of cola rst. followed by the other oats. and then asked to disclose the drinlc they prefer. Results of the taste test indicate that 43 of 100 individuals prefer Brand A. Complete parts a through c. f\\... {a} Conduct a hypothesis test {preferably using technology) H0: 9 = 90 versus H1: p # pa for p0 = 0.32. 0.33. 0.34. 0.52. 0.53. 0.54 at the a = 0.05 level of signicance. For which values of pa do you not reject the nu! hypothesis? What do each of the values of 90 represent? Do not reject the null hymthesis for the values of [:0 between |:| and D. indusively. [Type integers or decimals as needed.) (b) Construct a 95% confidence interval for the proportion of individuals who prefer Brand A. The lower bound is The upper bound is (Round to three decimal places as needed.)(c) Suppose you changed the level of significance in conducting the hypothesis test to a = 0.01. What would happen to the range of values for Po for which the null hypothesis is not rejected? Why does this make sense? Choose the correct answer below. O A. The range of values would increase because the corresponding confidence interval would decrease in size. O B. The range of values would increase because the corresponding confidence interval would increase in size. O C. The range of values would decrease because the corresponding confidence interval would decrease in size. O D. The range of values would decrease because the corresponding confidence interval would increase in size