Question 5 (9 marks)

For each of the following parts, calculate thetest statistic. Be specific (e.g. t = 3.74). You must show the formula being used and your calculations.

1. You want to test the following hypotheses:

H₀: p₁ - p₂ = .07

H_A: p₁ - p₂ > .07 when: n₁ = 50, x₁= 40, n₂ = 100, x₂ = 65

2. You want to test the following hypotheses:

H₀: = 0

H_A: < 0 when: n = 40, r = - .250

3. You want to test the following hypotheses:

H₀:₁ = 2

H_A:₁ 2

when a simple linear regression model was run using a sample of size n = 23.

The results of the sample were: b₁ = 2.45, s_e = 3.47, and s_x = 1.42