Question

Two training programs have been devised to train people to assemble a particular mechanical component. Let p₁ and p₂ denote the proportion of assemblers trained by methods 1 and 2 respectively who can assemble a component in less than 10 minutes.

It was found that 61 out of 80 people trained by method 1 could assemble a component in less than 10 minutes, and 43 out of 75 people trained by method 2 ccould assemble a component in less than 10 minutes.

You are asked to perform a test of H₀: p₁ = p₂ vs H₁: p₁ ≠ p₂. The conclusion is

[Hint: Compute the test statistic and compare it with various critical values. Or, you can use R Commander.]

		reject H0 at the 10%, 5%, 2% and 1% levels of significance.
		not reject H0 at any of the 10%, 5%, 2% or 1% levels of significance.
		reject H0 at the 10%, 5% and 2% levels of significance, but not at the 1% level of significance.
		reject H0 at the 10% level of significance, but not at the 5%, 2% or 1% levels of significance.
		reject H0 at the 10% and 5% levels of significance, but not at the 2% or 1% levels of significance.

Answer 1