William H. Knapp III

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1. You are going to get a ton of practice finding critical values and calculating power or beta in this homework set. Let's get started. Null hypothesis: p(success)=.6, sample size=18, alpha=.1. What's the lower critical value?

2. For the previous scenario, what should you do if you observe 14 successes?
Fail to reject the null hypothesis.
Reject the null hypothesis.
Not enough information to tell.

3. For the previous scenario, what should you do if you observe 15 successes?
Fail to reject the null hypothesis.
Reject the null hypothesis.
Not enough information to tell.

4. For the previous scenario, what would the power be for the alternate p(success)=.4? Copy your answer from R, but don't include the [1].

5. For the previous scenario, what would the power be for the alternate p(success)=.8? Copy your answer from R, but don't include the [1].

6. Let's see what happens if we keep everything the same but the change the sample size. Null hypothesis: p(success)=.6, sample size=50, alpha=.1. What's the lower critical value?

7. For the previous scenario, what's the upper critical value?

8. For the previous scenario, what would the power be for the alternate p(success)=.8? Copy your answer from R, but don't include the [1].

9. For the previous scenario, what would beta be for the alternate p(success)=.8? Copy your answer from R, but don't include the [1].

10. Let's see what happens if we keep everything the same but make the null hypothesis directional. Null hypothesis: p(success)>=.6, sample size=50, alpha=.1. What's the critical value?

11. For the previous scenario, what would beta be for the alternate p(success)=.8? Copy your answer from R, but don't include the [1].

12. Let's see what happens if we keep everything the same but change the direction of the null hypothesis. Null hypothesis: p(success)<=.6, sample size=50, alpha=.1. What's the critical value?

13. For the previous scenario, what would beta be for the alternate p(success)=.8? Copy your answer from R, but don't include the [1].

14. Let's see what happens if we keep everything the same but change alpha. Null hypothesis: p(success)<=.6, sample size=50, alpha=.05. What's the critical value?

15. For the previous scenario, what would beta be for the alternate p(success)=.8? Copy your answer from R, but don't include the [1].

16. What are quantiles?
Estimates of effect size.
Estimates of power.
Measures of central tendency.
Values that divide a distribution into pieces.

17. If someone received a score that was at the 67th percentile, what does that mean?
67% of people received that score.
67% of people received that score or higher.
67% of people received that score or lower.
67% of people received higher scores.
67% of people received lower scores.

18. What is the mean of the following set of numbers: 17:282?

19. What is the value associated with the quantile of 10% for the following set of numbers: 17:282?

20. Review: Imagine you asked 3 people what their favorite type of animal is. Participants had to choose from the four responses: "birds" "fish" "mammals" and "other". How many different events could you potentially observe?