Question

suppose that in a random selection of 100 colored candies, 24% of them were 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. a. ( h_0: p = 0.3 ) ( h_1: p
eq 0.3 ) b. ( h_0: p = 0.3 ) ( h_1: p < 0.3 ) c. ( h_0: p = 0.3 ) ( h_1: p > 0.3 ) d. ( h_0: p
eq 0.3 ) ( h_1: p = 0.3 )

Explanation:

The null hypothesis \(H_0\) is a statement of equality. Here, the company claims the proportion \(p = 0.3\), so \(H_0:p = 0.3\). The alternative hypothesis \(H_1\) is the statement we are trying to find evidence for. Since we are just testing if the proportion is different from \(0.3\) (not specifically greater or less), it is a two - tailed test. So \(H_1:p
eq0.3\).

Answer:

A. \(H_0:p = 0.3\), \(H_1:p
eq0.3\)