In a study of pregnant women and their ability to correctlypredict the sex of their​ baby, 58 of the pregnant women had 12years of education or​ less, and 41.4​% of these women correctlypredicted the sex of their baby. Use a 0.01 significance level totest the claim that these women have an ability to predict the sexof their baby equivalent to random guesses. Identify the null​hypothesis, alternative​ hypothesis, test​ statistic, P-value, andconclusion about the null hypothesis. Use the​ P-value method. Usethe normal distribution as an approximation of the binomialdistribution. Do the results suggest that their percentage ofcorrect predictions is different from results expected with random​guesses?

Identify the null and alternative hypotheses. Choose the correctanswer below. A. H0​: pequals0.5 H1​: pnot equals0.5 B. H0​:pequals0.414 H1​: pless than0.414 C. H0​: pequals0.5 H1​: pgreaterthan0.5 D. H0​: pequals0.414 H1​: pnot equals0.414 E. H0​:pequals0.414 H1​: pgreater than0.414 F. H0​: pequals0.5 H1​: plessthan0.5

The test statistic is zequals nothing. ​(Round to two decimalplaces as​ needed.)

The​ P-value is nothing. ​(Round to four decimal places as​needed.)

Identify the conclusion about the null hypothesis. Do theresults suggest that their percentage of correct predictions isdifferent from results expected with random​ guesses? ▼ Reject Failor to reject H0. There ▼ is or not is sufficient evidence towarrant rejection of the claim that these women have an ability topredict the sex of their baby equivalent to random guesses. Theresults for these women with 12 years of education or less suggeststhat their percentage of correct predictions ▼ is not is verydifferent from results expected with random guesses.