A blind taste test is conducted to determine which of two​colas, Brand A or Brand​ B, individuals prefer. Individuals arerandomly asked to drink one of the two types of cola​ first,followed by the other​ cola, and then asked to disclose the drinkthey prefer. Results of the taste test indicate that 42 of 100individuals prefer Brand A. Complete parts a through c. ​(a)Conduct a hypothesis test​ (preferably using​ technology) Upper H0​: p equals p 0 versus Upper H 1​: pnot equalsp 0 for p0equals0.31​, 0.32​, 0.33​, ​..., 0.51​, 0.52​, 0.53 at thealphaequals0.05 level of significance. For which values of p 0 doyou not reject the null​ hypothesis? What do each of the values ofp 0 ​represent? Do not reject the null hypothesis for the values ofp 0 between nothing and nothing​, inclusively. ​(Type integers ordecimals as​ needed.)
