A football game starts with the toss of a coin to determine which team will get the ball first. Before the game, the referee tosses the coin a number of times and records the number of times the coin lands heads. The following MINITAB output presents a confidence interval for the probability that the coin lands heads.
Sample | X | N | Sample p | 95% CI |
1 | 17 | 34 | 0.5 | 0.331931, 0.668069 |
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Part 1 of 2
(a) Interpret the confidence interval.
We are 95 % confident that the population proportion is between 0.331931 and 0.668069 . |
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Part 2 of 2
(b) Use the information to construct a
98%
confidence interval for
p
. Round to three decimal places.
The confidence interval is , . |