FAST Hypothesis Testing 3

Question 1

Which factor does NOT directly increase the power of a hypothesis test?

Accepted Answer

Raising the significance level α

Answer

Raising α increases power but at the cost of a higher Type I error rate; reducing SD or increasing n/effect size raises power without that trade-off.

Question 2

A z-test is appropriate when:

Accepted Answer

The population variance is known or n is large

Answer

A z-test is used when the population standard deviation is known or the sample size is large enough for the Central Limit Theorem to apply.

Question 3

What is a p-value?

Accepted Answer

The probability of observing a result at least as extreme as the sample result, assuming H₀ is true

Answer

The p-value measures how likely the observed data (or more extreme) would be if the null hypothesis were true.

Question 4

In a paired t-test, what is being compared?

Accepted Answer

Differences within the same subjects measured twice

Answer

A paired t-test analyzes the mean difference between two measurements taken on the same subject or matched pairs.

Question 5

A confidence interval for a mean does not include zero. What does this imply about the two-tailed hypothesis test at the matching α level?

Accepted Answer

Reject H₀: μ = 0

Answer

If zero falls outside the confidence interval, it means the null value is implausible, which corresponds to rejecting H₀ at the matching significance level.

(FAST) Future Aptitude Selection Tool Practice Test

(FAST) Future Aptitude Selection Tool Practice Test

FAST Hypothesis Testing 3