We are testing Ho p 05 vs Ha p 05 at the 5 level of signif

We are testing Ho: p = 0.5 vs Ha: p < 0.5 at the 5% level of significance. If the p-value is 0.229, then what is the correct decision?

Reject Ho or Do not Reject Ho   

2.   Refer to problem 1. If the p-value were 0.0001, then what is the correct decision?

Reject Ho or Do not Reject Ho   

3. We are testing Ho: p₁ = p₂ vs Ha: p₁ > p₂ and the p-value is .0789 and alpha is .1. what is the correct decision?

Reject Ho or Do not Reject Ho   

4. Refer to problem 3. If the alpha is .01, then what is the correct decision?

Reject Ho or Do not Reject Ho   

Solution

We are testing Ho: p = 0.5 vs Ha: p < 0.5 at the 5% level of significance. If the p-value is 0.229,then the correct decision is Reject Ho as 0.229<0.5

If the p-value were 0.0001,then the correct decision is Reject Ho as 0.0001<0.5

We are testing Ho: p₁ = p₂ vs Ha: p₁ > p₂ and the p-value is .0789 and alpha is .1. then the correct decision is Reject Ho as 0.0789<0.1

If the alpha is .01then the correct decision is Reject Ho as 0.01<0.1