Students conducted an experiment to determine whether the Belgium-minted Euro coin was equally likely to land heads up or tails up. Coins were spun on a smooth surface, and in 330 spins,180 landed with the heads side up.
(a) Should the students interpret this result as convincing evidence that the proportion of the time the coin would land heads up is not 0.5? Test the relevant hypotheses usingα= 0.01.(Round your test statistic to two decimal places and your P-value to four decimal places.)
State your conclusion.
Reject H0. We do not have convincing evidence that the proportion of the time this type of coin lands heads up is not 0.5.Do not reject H0. We have convincing evidence that the proportion of the time this type of coin lands heads up is not 0.5.Reject H0. We have convincing evidence that the proportion of the time this type of coin lands heads up is not 0.5.Do not reject H0. We do not have convincing evidence that the proportion of the time this type of coin lands heads up is not 0.5.
(b) Would your conclusion be different if a significance level of 0.05 had been used? Explain.
No. With a significance level of 0.05, the conclusion would be the same, since the P-value is less than 0.05.Yes. With a significance level of 0.05, the conclusion would be different, since the P-value is greater than 0.05.Yes. With a significance level of 0.05, the conclusion would be different, since the P-value is less than 0.05.No. With a significance level of 0.05, the conclusion would be the same, since the P-value is greater than 0.05.