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?

Answer 1

The p-value obtained is not less than 10%, so there is not enough evidence to conclude that the coin is unfair.

Step-by-step explanation:

The coach of the basketball team has flipped a coin 100 times and obtained 42 heads. To determine if the coin is unfair, she decides to carry out a significance test. The p-value she obtains is the probability of obtaining a result as extreme as 42 heads or more if the coin were fair. This can be calculated using a binomial probability distribution.

The general conclusion that can be made at a 90% significance level is that if the coin were fair, the probability of obtaining 42 heads or more would be less than 10%. Since the p-value she obtained is not less than 10%, there is not enough evidence to conclude that the coin is unfair.

Answer 2

Answer: The answer is D, the p-value is 0.945. She should fail to reject the null.

Step-by-step explanation:

I just took the test and got it correct.