Question

During the Super Bowl, a coin toss is used to decide which team will receive the ball first. The NFL decides to investigate if the coin was fair or not before using it in the game. If the coin is fair, it will result in heads 50% of the time. After a flipping the coin a number of times, they find the coin came up heads 52% of the time. The 95% confidence interval was 49% to 55%.

Which statement below is TRUE?

Select one:

a. The results of the investigation prove the coin is fair.

b. The results indicate there is a reasonable chance that the coin is fair.

c. The results indicate that the coin is unlikely to be fair.

d. The results indicate that that the coin is not fair.

Answer 1

the correct statement is:-

The results indicate there is a reasonable chance that the coin is fair (b)

[explanation:-

hypothesis:-

the 95% confidence interval is = (0.49 , 0.55)

we fail to reject the null hypothesis as , the population proportion 0.5 is included in the confidence interval.

so, we can say that. there is sufficient evidence to claim the coin to be fair.]

***in case of doubt, comment below. And if u liked the solution, please like.