Ap Statistics Question

Question

Mrs. G reads an article in which the author claims 48% of mothers stay at home with their children. Mrs. G does not believe the author of the article, so she obtains a random sample of 200 mothers and finds 78 of them stay at home with their children. At α = 0.1, does Mrs. G’s sample provide enough evidence to reject the author’s claim? Use statistics to justify your response.   

Answer 1

H0 : p = 0.48

H1 : p <> 0.48

On a TI-84

STAT

TESTS

5 (1 Prop Z TEST)

P0 = 0.48 (from H0)

x = 78

n = 200

prop <> p0

calculate

z = -2.55 (test statistic)

p = 0.0108

p>alpha so we fail to reject the null hypothesis

so the sample does not provide enough evidence to reject the claim