How would you solve this problem? I am struggling with it. Please provide details on the solutions for understanding.

A blind taste test is conducted to determine which of twocolas, Brand A or BrandB, individuals prefer. Individuals are randomly asked to drink one of the two types of colafirst, followed by the othercola, and then asked to disclose the drink they prefer. Results of the taste test indicate that 57 of 100 individuals prefer Brand A. Complete parts a through c.

(a) Conduct a hypothesis test(preferably usingtechnology)

H0: p=p0 versus H1: p p 0

p0=

0.46, 0.47, 0.48, ..., 0.66, 0.67, 0.68

at the alpha=0.05 level of significance.

For which values of p0 do you not reject the nullhypothesis? What do each of the values of p0 represent?

Do not reject the null hypothesis for the values of p0 between nothing and nothing, inclusively.

(Type integers or decimals asneeded.)

(B) Conduct a 95% confidence interval for the proportion of individuals who prefer Brand A p=0.61

(C) Suppose you changed the level of significance in conducting the hypothesis test to alpha=0.01. What would happen to the range of values for p0 for which the null hypothesis is not rejected? Why does this make sense?

Please round all answers to three (3) decimal places