Question

8.3

In a study of pregnant women and their ability to correctly predict the sex of their​ baby, 59 of the pregnant women had 12 years of education or​ less, and 39% of these women correctly predicted the sex of their baby. Use a 0.05 significance level to test the claim that these women have an ability to predict the sex of their baby equivalent to random guesses. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, and conclusion about the null hypothesis. Use the​ P-value method. Use the normal distribution as an approximation of the binomial distribution. Do the results suggest that their percentage of correct predictions is different from results expected with random​ guesses?

a. Identify the null and alternative hypotheses.

b. The test statistic is z = ___

c. The​ P-value is ___

d. Identify the conclusion about the null hypothesis. Do the results suggest that their percentage of correct predictions is different from results expected with random​ guesses?

Reject/Fail to reject H0. There is/is no sufficient evidence to warrant rejection of the claim that these women have an ability to predict the sex of their baby equivalent to random guesses. The results for these women with 12 years of education or less suggests that their percentage of correct predictions is/is not very different from results expected with random guesses.

Answer 1

Fail to reject H0. There is  sufficient evidence to warrant rejection of the claim that these women have an ability to predict the sex of their baby equivalent to random guesses.

The results for these women with 12 years of education or less suggests that their percentage of correct predictions is not very different from results expected with random guesses.