Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

eving a child increases the probability of hawing a boy Of parents using this me

ID: 3351732 • Letter: E

Question

eving a child increases the probability of hawing a boy Of parents using this method te concerve a child, 76 had boys and 48 had girs. Test the hypothesis that the probability of haing a boy is greater than 50% for parents using this method at 0.01 significance Is there suficient endence to suppont the claim that this method increases the probablity of parents haing a boy at 001 signfcance? A. Yes, because the test statistic is less than the critical value B. No, because the test statistic is less than the critical value C. No, because the test statistic is greater than the critical valuse D. Yes, because the test statistic is greater than the critical value

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:

Critical value for 0.01 significance = 2.33

Hence,

We reject Ho because test statistic is greater than critical value.

Option D is correct.

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 78 126 0.61904762 0.04454354 2.6726124 0.0038