3. Econometrics

Hypothesis Testing — Quiz

Test your understanding of hypothesis testing with 5 practice questions.

Practice Questions

Question 1

Given a one-sample t-test with $\bar x = 8$, $s = 2$, $n = 16$ to test $H_{0}:\mu=7$, what is the value of the test statistic?

Question 2

Which feature best distinguishes Welch’s t-test from the pooled-variance t-test?

Question 3

Compute the overall F-statistic for a regression model with SSR = 200, SSE = 800, $k=2$ regressors, and $n=50$ observations.

Question 4

What is the 95\\% confidence interval for the slope coefficient $\beta$ given $\hat\beta=3.0$, $\mathrm{SE}=1.0$, $n=50$, and one predictor?

Question 5

Given an F-statistic of 5.0 with degrees of freedom (2,30) at $\alpha=0.05$, and critical value $F_{0.05,2,30}=3.32$, what is the appropriate decision?