Question

Members of a basketball team suspect the coin used for the coin toss at the beginning of their games is unfair. They believe it turns up heads more often than it should if it were fair. The coach of the team decides to flip the coin 100 times and count the number of heads. Her trial results in 42 heads. She decides to carry out a significance test. What is the p-value she obtains and the general conclusion that can be made at a 90% significance level?

a. The p-value is 0.055. She should fail to reject the null.
b. The p-value is 0.055. She should reject the null in favor of the alternative.
c. The p-value is 0.945. She should reject the null in favor of the alternative.
d. The p-value is 0.945. She should fail to reject the null.
e. There is not enough information provided to calculate the p-value and make a conclusion.

Answer 1

The coach obtains a p-value of 0.055 and should fail to reject the null hypothesis at a 90% significance level.

Step-by-step explanation:

To test whether the coin used for the coin toss is unfair, the coach flips the coin 100 times and counts the number of heads. Her trial results in 42 heads. She then carries out a significance test to determine if the coin is unfair. The p-value she obtains is 0.055. At a 90% significance level, she should fail to reject the null hypothesis, so the correct answer is a. The p-value is 0.055. She should fail to reject the null.