In a survey of 250 males ages 20 to 24, 35% were neither in school nor working. In a survey of 210 females ages 20 to 24, 39% were neither in school nor working. These samples are random and independent. At α = 0.05, can you support the claim that the proportion of males ages 20 to 24 who were neither in school nor working is less than the proportion of females ages 20 to 24 who were neither in school nor working? Complete parts (a) through (e) below:
(a) Identify the claim and state H0 and Ha.
The claim is "the proportion of males ages 20 to 24 who were neither in school nor working is less than the proportion of females ages 20 to 24 who were neither in school nor working."
H0: p1 ā„ p2
Ha: p1 < p2
(b) Find the critical value(s) and identify the rejection region(s).
The critical value(s) is(are) (Use a comma to separate answers as needed. Round to two decimal places as needed.)