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In a study of pregnant women and their ability to correctly predict the sex of their​ baby, 62 of the pregnant women had 12 years of education or​ less, and 41.9​% 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. Choose the correct answer below.
b,
The test statistic is ?
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?