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

30%.

Use a

0.10

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:

p=0.3

H1:

p0.3

B.

H0:

p=0.3

H1:

p<0.3

C.

H0:

p0.3

H1:

p=0.3

D.

H0:

p=0.3

H1:

p>0.3

Part 2

Identify 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 3

Identify 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 4

Identify the conclusion for this hypothesis test.

A.

Failtoreject

H0.

There

is

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

30%

B.

Reject

H0.

There

isnot

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

30%

C.

Reject

H0.

There

is

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

30%

D.

Failtoreject

H0.

There

isnot

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

30%