Assume a significance level of = 0.1 and use the given information to complete p

Question

Assume a significance level of = 0.1 and use the given information to complete parts (a) and (b) below Onginal claim: Women have heights with a mean equal to 160.2 cm. The hypothesis test results in a P-value of 0 0871 a. State a conclusion about the null hypothesis. (Reject Ho or fail to reject Ho) Choose the correct answer below d A. Fail to reject Ho because the P-value is greater than B. Fail to reject H0 because the P-value is less than C. Reject Ho because the P-value is greater than . 0 D. Reject H0 because the P-value is less than b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? O A. There is not sufficient evidence to warrant rejection of the claim that the mean height of women is equal to 160 2 cm O B. There is not sufficient evidence to suppo ° C. There is sufficient evidence to support the claim that the mean height of women is equal to 1602 cm o D. There is sufficient evidence to warrant rejection of the claim that the mean height of women is equal to 160 2 cm.

Explanation / Answer

Let's first understand the meaning of significance level . is the probability of rejecting the null hypothesis, given it is true, i.e., the probability of Type 1 error.

P-value is the probability of obtaining the result of a sample a sample test, at least as extreme as the result, when the null hypothesis is true.

If p-value of a test is less than , then we reject the null hypothesis, and the test is considered statistically significant.

If p-value of a test is more than , then we fail to reject the null hypothesis, and the test is considered statistically insignificant.

a. In the given question, p-value < , and therefore we reject the null hypothesis.

Hence, the answer is Option D.

b. Since the p-value < , that implies that the test is statistically significant, i.e., there is sufficient evidence to reject null hypothesis, which means,

There is sufficient evidence to reject the hypothesis that the women have heights with a mean equal to 160.2cm.

Hence, the answer is Option D,

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