Conduct a full hypothesis test and determine if the given claim is supported or not supported at the 0.05 significance level. Round all amounts and standard scores to two decimal places.
-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 225 fathers from
Littleton yielded 97 who did not help with child care. Test whether the researcher's claim that the percentage is
Higher than 34% is supported or not supported.
A)not supported
B)supported

Question

Quizplus · Accepted Answer

The null hypothesis is that the proportion of fathers in Littleton who take no responsibility for child care is 34% (p = 0.34). The alternative hypothesis is that this proportion is greater than 34% (p > 0.34). The sample proportion is 97/225 = 0.4311. Using a z-test for proportions, the test statistic is calculated as z = (0.4311 - 0.34) / sqrt((0.34 * 0.66) / 225) = 2.47. The critical value for a one-tailed test at the 0.05 significance level is 1.645. Since 2.47 > 1.645, we reject the null hypothesis and conclude that the claim is supported.

Conduct a Full Hypothesis Test and Determine If the Given