show work……In a study of pregnant women and their ability to correctly predict the sex of their baby, 57 of the pregnant women had 12 years of education or less, and 38.6% of them correctly predicted the sex of their baby. Use a 0.05 significance level to test the claim that these women have no ability to predict the sex of their baby, and the results are not significantly different from those that would be expected with random guesses. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: p=0.386 H1: p>0.386 B. H0: p=0.386 H1: p?0.386 C. H0: p=0.5H1: p<0.5 D. H0: p=0.5H1: p>0.5 E. H0: p=0.5H1: p?0.5 F. H0: p=0.386 H1: p<0.386 The test statistic is z=____. (Round to two decimal places as needed.)The P-value is_____. (Round to four decimal places as needed.)Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim. Reject or Fail to reject H0.There is not or is sufficient evidence to warrant rejection of the claim that these women have no ability to predict the sex of their baby.The results for these women with 12 years of education or less suggests that their percentage of correct predictions is not or is very different from results expected with random guesses.
