m507.2. How Often Is the Bus Late? 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 40, the bus was late exactly 13 times. Is this 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? 0 (a) Twosided twosample ztest O (b) Onesided onesample ztest O (c) Onesided twosample ztest 0 (d) Twosided onesample ztest 2. Choose the correct null hypothesis and alternative hypothesis. 0 (a)H0:p=10%vs.Ha:p> 10% O (b) H.) : mean = 10% vs. H,1 : mean > 10% O (c) H.) : mean = 10% vs. H,1 : meany 10% O(d)Ho:p=10%vs.Ha:p710% 3. Compute the test statistic for the test that you chose above. Make sure your answer contains EMCTLV 3 digits after the decimal point. Test statistic: number (rtol=0.01, atol=1e08} 0 4. Use your rounded answer for question 3 to compute the p-value. Make sure your answer contains at least 6 digits after the decimal point. pvalue: number (rtol=0.01, atol=1e08} a 5. Which of the following is the correct conclusion? We reject the MTD's claim and conclude there is no evidence supporting that at Dave's stop, the bus is O (a) late more than 10.0% of the time. We fail to reject the MTD's claim and conclude that at Dave's stop, the bus is late less than 10.0% of the 0 lb) time 0 (c) We reject the MTD's claim and conclude that at Dave's stop, the bus is late more than 10.0% of the time. We fail to reject the MTD's claim and conclude there is no evidence supporting that at Dave's stop, the bus is late more than 10.0% of the time. Save 81 Grade Single attempt Additional attempts available with new variants 9