Question

22.)

We never conclude that null hypothesis is true.

a) True

b) False

23.)

When we reject a null hypothesis, we are certain that the alternative hypothesis is true.

a) True

b) False

24)

If a null hypothesis is rejected with a significance level of 0.05, it is also rejected with a significance level of 0.01?

a) True

b) False

c) it might be either

25)

If a null hypothesis is rejected with a significance level of 0.01, it is also rejected with a significance level of 0.05?

a) True

b) False

c) it might be either

Answer 1

22) False

Based on the value of p-value the null hypothesis may or may not be true.

If p-value > level of significance, then null hypothesis is true and accepted otherwise it is false and rejected.

23) True

Null and alternative hypothesis are rival to each other, hence if one is false other is true.

24) it might be either

The rejection rule is “reject Ho if p-value < α”. Therefore, if α = 0.05, then reject Ho if p-value < 0.05.

The p-value can be less than 0.05 while not being less than 0.01. In this case reject Ho at the 5% level, but not at the 1% level. This occurs if (for example) p-value = 0.03.

Also the p-value can be less than 0.05 while also being less than 0.01. In this case reject Ho at both the 5% and 1% levels.

25) True

For α = 0.01, then Ho will be rejected if p-value < 0.01.

If p-value is less than 0.01, obviously it will be less than 0.05, hence Ho will be rejected at α = 0.05 also.