Question

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 0.01 significance level to test that claim.

Identify the null and alternative hypotheses for this test.

Identify the number of​ events, the number of​ trials, the claimed population​ proportion, and the significance level to be used in technology.

Identify the test statistic for this hypothesis test.

Identify the​ P-value for this hypothesis test.

Answer 1

Here claim is that p=0.23

As null hypothesis always have equality sign, so hypothesis here is vs

n=100

Claimed population proportion is p=0.23 and

As n is sufficient large test statistics is

P value is

As P value is greater than alpha we fail to reject the null hypothesis

Hence we have sufficient evidence to support the claim that p=0.23