a) The smaller the p-value the more likely it is to reject the null hypothesis.

ID: 3216599 • Letter: A

Question

a) The smaller the p-value the more likely it is to reject the null hypothesis. (T-F)

b) The probability of type I error is equal to the level of significance,. (T-F)

c) Type I error occurs when we fail to reject a truly false hypothesis. (T-F)

d) When we increase the sample size we reduce the probability of Type II error. (T-F)

e) A hypothesis test is easy to pass when the sample size is small. (T-F)

f) If the alternative hypothesis is that the mean values of two populations are different,, then the test is called two-tail test. (T-F)

Part a) The smaller the p-value the more likely it is to reject the null hypothesis. (T)

Explanation: We reject the null hypothesis when the p-value is less than the level of significance.

Part b) The probability of type I error is equal to the level of significance. (T)

Explanation: The level of significance is nothing but the probability of type I error.

Part c) Type I error occurs when we fail to reject a truly false hypothesis. (T)

Explanation: Type I error occurs when we reject a true null hypothesis.

Part d) When we increase the sample size we reduce the probability of Type II error (F)

Explanation: As the sample size increases the probability of Type II error will decrease.

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.