Question

Suppose that in a random selection of 100 colored​ candies, 27​% of them are blue. The candy company claims that the percentage of blue candies is equal to 28​%. Use a 0.01 significance level to test that claim.

Answer 1

Let p be the population proportion of blue colored Candie's.

In a random sample of n=100, 27% of them are blue.

We want to test the Candy company's claim that the proportion of blue candies is 0.28.

The null and alternative hypothesis are:

The test statistic is:

The p value for two tail test is:

p=2*0.4129. By using z table

p=0.8258

Since p value is 0.8258>0.01, we are unable to reject the null hypothesis.

Therefore, we do not have enough evidence to reject the claim that the proportion of blue colored Candie's is 0.28