Question

This is my (made up) problem using the difference of two proportions option.
Is the proportion of smokers greater in Borden than in Archer? In a random sample of 100 Borden residents, 59 smoke. In a random sample of 200 Archer residents, 96 smoke. Use a 10% significance level.

Set up the null and alternative hypothesis, and please interpret answer.

PLEASE DO NOT HANDWRITE AND USE STAT CRUNCH IF POSSIBLE.

Answer 1

The statistical software output for this problem is :

The null and alternative hypothesis is :

H₀ : p₁ - p₂ = 0 H_A : p₁ - p₂ > 0

Test statistics = 1.797

P-value < 0.10

Reject the null hypothesis