Question

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

5959

of

100100

individuals prefer Brand A. Complete parts a through c.

​(a) Conduct a hypothesis test​ (preferably using​ technology)

Upper H 0H0​:

p equals p 0p=p0

versus

Upper H 1H1​:

pnot equals≠p 0p0

for

p 0p0equals=0.480.48​,

0.490.49​,

0.500.50​,

​...,

0.680.68​,

0.690.69​,

0.700.70

at the

alphaαequals=0.05

level of significance. For which values of

p 0p0

do you not reject the null​ hypothesis? What do each of the values of

p 0p0

​represent?Do not reject the null hypothesis for the values of

p 0p0

between

0.500.50

and

0.680.68​,

inclusively.

​(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

. 494.494.

The upper bound is

. 686.686.

​(Round to three decimal places as​ needed.)

​(c) Suppose you changed the level of significance in conducting the hypothesis test to

alphaαequals=0.01.

What would happen to the range of values for

p 0p0

for which the null hypothesis is not​ rejected? Why does this make​ sense? Choose the correct answer below.

A.

The range of values would increase because the corresponding confidence interval would decrease in size.

B.

The range of values would decrease because the corresponding confidence interval would increase in size.

C.

The range of values would increase because the corresponding confidence interval would increase in size.

Your answer is correct.

D.

The range of values would decrease because the corresponding confidence interval would decrease in size.

How would I do part a on statcrunch

Answer 1