Chapter 1 Exercises:

Page 54 - 73

 #1.22, #1.24, #1.40

Additional problem #1

Suppose that the p-value for a statistical test is found to be 0.02 and the significance level was 0.05. Determine whether each of the following statements is true or false (a true answer is always true).

1. The probability that H₀ is true is 0.02.
2. The decision was to reject H₀.
3. The results are statistically significant at 0.05.
4. The results are statistically significant at 0.10.

Decide whether each of the following statements is true or false:

• If a is specified to be 0.05 for a statistical test, then b must be 0.95.
• A type II error occurs whenever we reject the null hypotheses.
• If you suspect that the average lifetime of a new model of a 100-watt light bulb is not 40 hours (as a competing brand), but is more than 40 hours, then the rejection region for your decision rule would be one-sided to the left.
• If the results from a study were significant at the 10% level, but not at the 5% level, then a possible p-value could be 0.06.

Page 112 - 116

#2.4, #2.6, #2.8, #2.10, #2.20

Additional problem #1

A particular gun control bill is being sent to the U.S. Senate to be voted upon. Each of the 50 states has 2 elected senators eligible to vote. To try to predict the outcome of the upcoming, a newspaper reporter randomly selects 18 senators and asked how he/she planned to vote.

• What is the population in this situation?
• What is the value of N, the population size?
• What is the sample in this situation?
• What is the value of n, the sample size?