Question

True or False: The higher the level of significance of a hypothesis test, the stronger the evidence we require to reject the null hypothesis.

True or False: The purpose of a hypothesis test is to assess the evidence in favour of the null hypothesis.

True or False: The higher the p-value of a hypothesis test, the more evidence we have to reject the null hypothesis.

Answer 1

Ans:

1)False

Higher the significance level,alpha,we will be more likley to reject the null hypothesis(as we reject the null hypothesis,when p-value<alpha),so we do not require stronger evidence ,if significance level is higher.

2)False

The purpose of a hypothesis test is to assess the evidence against the null hypothesis.

3)False

The lower the p-value of a hypothesis test, the more evidence we have to reject the null hypothesis.

(as it will be more unlikely to get this result,if null hypothesis is true)