Question

Suppose that in a random selection of 100color ed​ candies, 28% of them are blue. The candy company claims that the percentage of blue candies is equal to 30​%. Use a 0.01 significance level to test that claim.

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

Identify the test statistic for this hypothesis test.

Identify the​ P-value for this hypothesis test.

Identify the conclusion for this hypothesis test.

Answer 1

Solution :

This hypothesis test is a two tailed test .

The null and alternative hypothesis is

H₀ : p = 0.30

H_a : p 0.30

= 0.28

Test statistic = z

= - P₀ / [P_{0 *} (1 - P₀ ) / n]

= 0.28 - 0.30/ [(0.30 * 0.70) / 100]

= -0.436

P-value = 0.6625

= 0.01

P-value >

Fail to reject the null hypothesis .

There is not sufficient evidence to suggest that the percentage of blue candies is equal to 30​%.