In a study of pregnant women and their ability to correctly predict the sex of t

Question

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 37.3% of those women correctly predicted the sex of their baby. Use 0.01 significance level to test the claim that these women have an ability to predict the sex of their baby equivalent to random 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? Identify the null and alternative hypothesis. Choose the correct answer below. A. H_0: p = 0.5 H_1: p > 0.5 B. H_0: p = 0.5 H_1: p

Explanation / Answer

(a) Option D

(b)

Data:

n = 50

p = 0.5

p' = 0.373

Hypotheses:

Ho: p = 0.5

Ha: p 0.5

Decision Rule:

= 0.01

Lower Critical z- score = -2.5758

Upper Critical z- score = 2.5758

Reject Ho if |z| > 2.5758

Test Statistic:

SE = {p (1 - p)/n} = (0.5 * (1 - 0.5)/50) = 0.0707

z = (p'- p)/SE = (0.373 - 0.5)/0.0707106781186548 = -1.80

(c) p- value = 0.0725

(d) Do not reject Ho. There is no sufficient evidence.

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