Question

suppose that in a random selection of 100 colored candies, 30% of them are blue. the candy company claims that the percentage of blue candies is equal to 24%. use a 0.01 significance level to test that claim. identify the null and alternative hypotheses for this test. choose the correct answer below. oa. ( h_{0}: p = 0.24 ) ( h_{1}: p>0.24 ) ob. ( h_{0}: p = 0.24 ) ( h_{1}: p<0.24 ) oc. ( h_{0}: p
eq0.24 ) ( h_{1}: p = 0.24 ) od. ( h_{0}: p = 0.24 ) ( h_{1}: p
eq0.24 )

Explanation:

The null hypothesis \(H_0\) is a statement of equality. Here, the company claims the proportion \(p = 0.24\), so \(H_0:p = 0.24\). The alternative hypothesis \(H_1\) is what we test against the null. Since we are just testing if the claimed proportion is wrong (not specifically if it's higher or lower), it is a two - tailed test. So \(H_1:p
eq0.24\).

Answer:

D. \(H_0:p = 0.24\), \(H_1:p
eq0.24\)