Suppose that in a random selection of

100

coloredcandies,

27%

of them are blue. The candy company claims that the percentage of blue candies is equal to

22%.

Use a

0.10

significance level to test that claim.

Question content area bottomPart 1

Identify the null and alternative hypotheses for this test. Choose the correct answer below.

A.

H0:

p0.22

H1:

p=0.22

B.

H0:

p=0.22

H1:

p0.22

C.

H0:

p=0.22

H1:

p<0.22

D.

H0:

p=0.22

H1:

p>0.22

Part 2

Identify the test statistic for this hypothesis test.

The test statistic for this hypothesis test is

.

(Round to two decimal places asneeded.)

Part 3

Identify theP-value for this hypothesis test.

TheP-value for this hypothesis test is

.

(Round to three decimal places asneeded.)

Part 4

Identify the conclusion for this hypothesis test.

A.

Reject

H0.

There

is

sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to

22%

B.

Failtoreject

H0.

There

isnot

sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to

22%

C.

Reject

H0.

There

isnot

sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to

22%

D.

Failtoreject

H0.

There

is

sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to

22%