Question

Suppose that in a random selection of

100100

colored​ candies,

3030​%

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

2828​%.

Use a

0.050.05

significance level to test that claim.

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

A.

Upper H 0H0​:

pequals=0.280.28

Upper H 1H1​:

pless than<0.280.28

B.

Upper H 0H0​:

pnot equals≠0.280.28

Upper H 1H1​:

pequals=0.280.28

C.

Upper H 0H0​:

pequals=0.280.28

Upper H 1H1​:

pnot equals≠0.280.28

D.

Upper H 0H0​:

pequals=0.280.28

Upper H 1H1​:

pgreater than>0.280.28

Identify the test statistic for this hypothesis test.

The test statistic for this hypothesis test is

nothing.

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

Identify the​ P-value for this hypothesis test.

The​ P-value for this hypothesis test is

nothing.

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

Identify the conclusion for this hypothesis test.

Answer 1

The Hypothesis: Option C

H0: p = 0.28

H1: p 0.28

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The Test Statistic: = 0.3

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The p Value: The p value (2 Tail) for Z = 0.45, is; p value = 0.653

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The Conclusion: Since p value (0.653) is > (0.05)

Fail to Reject H0. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 28%.

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