Dave takes the bus to campus every day. He soon realizes that the MTD bus is often late. Feeling frustrated by this, he contacted the MTD to discuss this issue. The MTD claims that at Dave's bus stop, the bus is late 10% of the time. Dave believes that the true percentage is higher than that. He starts collecting data on randomly selected days and times. In a sample of size 53, the bus was late exactly 10 times. Is this an evidence that the MTD claim is untrue? Do a hypothesis test and state your conclusion. Use the significance level a = 0.1. 1. Which of the following hypothesis tests should we use? O (a) Two-sided two-sample z-test O (b) One-sided one-sample z-test O (c) Two-sided one-sample z-test O (d) One-sided two-sample z-test 2. Choose the correct null hypothesis and alternative hypothesis. O (a) Ho : p = 10% vs. Ha : p + 10% O (b) Ho : mean = 10% vs. Ha : mean + 10% O (c) Ho : mean = 10% vs. Ha : mean > 10% O (d) Ho : p = 10% vs. Ha : p > 10% 3. Compute the test statistic for the test that you chose above. Make sure your answer contains EXACTLY 3 digits after the decimal point. Test statistic: number (rtol=0.01, atol=1e-08)

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