Math 119 11

Technology Notes for lesson 11.4 – Hypothesis Testing: Two Population Proportions Question (1) A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 399 women and 456 men were independently and randomly selected and that 223 women and 198 men chose the state of the economy as their biggest concern. Can we conclude that the proportion of women ( p ¿¿ 1 ) , ¿ choosing the state of the economy as their biggest concern, exceeds the proportion of men ( p 2 ) ? Use a significance level of α = 0.05 for the test. Step 1 of 6 State the null and alternative hypotheses. H 0 : p 1 p 2 H a : p 1 p 2 Correct Answer: H 0 : p 1 − p 2 = 0 ; H a : p 1 − p 2 > 0 Step 2 of 6 Find the value of the two sample proportions, ^ p 1 ∧ ^ p 2 . Round your answer to three decimal places. . Correct Answer: ^ p 1 = 0.559 ∧ ^ p 2 = 0.434 Step 3 of 6 Compute the weighted estimate of p, p . Round your answer to three decimal places. Correct Answer: p = 0.492