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, 58 of the pregnant women had 12 years of education or less, and 36.2% 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? 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. Do the results suggest that their percentage of correct predictions is different from results expected with random guesses? H_0. There sufficient evidence to warrant rejection of the claim that these women have an ability to predict the sex other baby equivalent to random guesses. The results or these women with 12 years of education or less suggests that their percentage of correct predictions very different from results expected with random guesses.

Explanation / Answer

The statistical software output for this problem is:

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

Hypothesis test results:

Hence,

z = -2.10

P - value = 0.0356

Reject; is; is

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 20.996 58 0.362 0.065653216 -2.1019534 0.0356

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.