Identify the null hypothesis, alternative hypothesis,
test statistic, P-value, conclusion about the null hypothesis, and
final conclusion that addresses the original claim.
An article in a journal reports that 34% of American fathers take
no responsibility for child care. A researcher claims that the
figure is higher for fathers in the town of Littleton. A random
sample of 234 fathers from Littleton yielded 96 who did not help
with child care. Test the researcher's claim at the 0.05
significance level.
Possible Answers:
a) H0: p = 0.34. H1: p > 0.34.
Test statistic: z = 2.27. P-value: p = 0.0116. Critical value: z =
1.645. Reject null hypothesis. There is sufficient evidence to
support the researcher's claim that the proportion for fathers in
Littleton is higher than 34%.
b) H0: p = 0.43. H1: p < 0.34.
Test statistic: z = -2.27. P-value: p = 0.2116. Critical value: z =
1.645. Fail to reject null hypothesis. There is insufficient
evidence to support the researcher's claim that the proportion for
fathers in Littleton is higher than 34%.