A blind taste test is conducted to determine which of two​ colas, Brand A or Brand​ B, individuals prefer. Individuals are randomly asked to drink one of the two types of cola​ first, followed by the other​ cola, and then asked to disclose the drink they prefer. Results of the taste test indicate that 51of 100 individuals prefer Brand A. Complete all parts ​(a) Conduct a hypothesis test​ (preferably using​ technology) H0​: p=p0 versus H1​: p≠p0 for p0=0.40​, 0.41​, 0.42​, ​..., 0.60​, 0.61​, 0.62 at the α=0.05 level of significance. For which values of p0 do you not reject the null​ hypothesis? What do each of the values of p0 represent?

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A blind taste test is conducted to determine which of two​ colas, Brand A or Brand​ B, individuals prefer. Individuals are randomly asked to drink one of the two types of cola​ first, followed by the other​ cola, and then asked to disclose the drink they prefer. Results of the taste test indicate that 51of
100 individuals prefer Brand A. Complete all parts
​(a) Conduct a hypothesis test​ (preferably using​ technology)
H0​:
p=p0
versus
H1​:
p≠p0
for
p0=0.40​,
0.41​,
0.42​,
​...,
0.60​,
0.61​,
0.62
at the
α=0.05 level of significance. For which values of p0 do you not reject the null​ hypothesis? 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.
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