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

ID: 3223894 • Letter: I

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 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.

Explanation / Answer

The statistical software output for this problem is:

One sample proportion hypothesis test:
p : Proportion of successes
H0 : p = 0.5
HA : p 0.5

Hypothesis test results:

Hence,

Test statistics = -1.95

p - value = 0.0511

Fail to reject.

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 22.007 59 0.373 0.065094455 -1.951011 0.0511
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