Elementary Statistics (12th Edition)

a) We want to see if the mean is different to $\frac{253}{25221}=0.0100$, so we know $H_0:μ=0.0100$ and $H1:μ\ne0.0100$. We now use a Ti-84 calculator. To solve, go to "Stat," then "Tests," and then select "Stats." Doing this, we can find that the critical value and use a z-table calculator to find that $p=\gt0.00$, hence the claim is valid. b) We use a TI-84 calculator to find the confidence interval. To do this, we press “Stat” and then select “Tests.” Next, we select “2-PropZInt” to conduct the test. Doing this, we can find that the confidence interval goes through $0$, so the claim is valid. c)The results show that men and women do have similar finishing rates for the marathon.