Suppose that in a random selection of

100

colored candies,

20%

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

23%.

Use a

0.05

significance level to test that claim.

Question content area bottom

Part 1

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

A.

H0:

p0.23

H1:

p=0.23

B.

H0:

p=0.23

H1:

p<0.23

C.

H0:

p=0.23

H1:

p>0.23

D.

H0:

p=0.23

H1:

p0.23

Part 2

Identify the test statistic for this hypothesis test.

dentify the test statistic for this hypothesis test.The test statistic for this hypothesis test is

enter your response here.

(Round to two decimal places as needed.)Part 3Identify the P-value for this hypothesis test.The P-value for this hypothesis test is

enter your response here.

(Round to three decimal places as needed.)Part 4Identify 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

23%

B.

Reject

H0.

There

isnot

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

23%

C.

Failtoreject

H0.

There

isnot

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

23%

D.

Failtoreject

H0.

There

is

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

23%