Question

Indicate whether each of the following five statements are True or False.
1) A large p-value indicates the null hypothesis must be true.
2) Increasing the confidence level decreases the sample size needed to achieve a desired margin of error.
3) Increasing the sample size decreases the power of a hypothesis test.
4) Increasing the significance level increases the power of a hypothesis test.
5) If the interaction term in a two factor experiment is significant (small p-value), the main effects cannot be interpreted.

Answer 1

1) A large p-value indicates the null hypothesis must be true  True
2) Increasing the confidence level decreases the sample size needed to achieve a desired margin of error. False , because Increasing the confidence level increase the sample size needed to achieve a desired margin of error
3) Increasing the sample size decreases the power of a hypothesis test. True
4) Increasing the significance level increases the power of a hypothesis test True .
5) If the interaction term in a two-factor experiment is significant (small p-value), the main effects cannot be interpreted. False