The P-value of 0.0183 = 0.01, so if our significance level is = 0.01 we would H0. In this case, we convincing evidence to conclude that the proportion of all runners who are optimistic is greater than the proportion of all walkers who are optimistic.

Because the P-value, 0.0183, is greater than the significance level, 0.01, we fail to reject the null hypothesis. The data therefore do not provide convincing evidence that the proportion of optimistic runners is greater than the proportion of optimistic walkers. The correct choice is “fail to reject.”

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