Lab 17 Hypothesis Tests II Score: 0/91 0/7 answered Progress saved Done $ Voce . . . . Question 2 0/13 pts 95 3 0 Details A housing official in a certain city claims that the mean monthly rent for apartments in the city is less than $1000. To verify this claim, a simple random sample of 53 renters in the city was taken, and the mean rent paid was $937 with a standard deviation of $280. Can you conclude that the mean monthly rent in the city is less than $1000? Use the a = 0.06 level. a. State the null and alternative hypotheses. Ho : ? ? Select an answer H1 : ? Y ? Y Select an answer b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: - 3 -2 -1 0 W Q -3 -2 -1 0 1 2 Q -3 -2 -1 0 1 2 QCritical value(S): (If there are two critical values, list both values separated by a comma) c. Find the test statistic. d. Find the p-value. e. Decide: Select an answer V Ho f. Conclusion: At a = 0.09 significance level, there Select an answer enough evidence to conclude that business travelers walk at a different speed than leisure travelers.Lab 17 Hypothesis Tests || Score: 0:91 or? answered Progresssaved Done g 15' E 0 Question 1 v 8 ans pts '0 5 3 3 G) Details Recorded score In cm "car u Ialb u: Nasonex, 4073 allergy patients were randomly divided into two groups. The patients in the experimental group received Nasonex, while the patients in the control group received a placebo. Of the 2347 patients in the experimental group, 589 reported headaches as a side effect. Of the 1726 patients in the control group, 381 reported headaches as a side effect. Can you conclude that the proportion of patients in the experimental group who experienced headaches as a Side effect was greater than the proportion in the control group? Use the a = 0.04 level. a. State the null and alternative hypotheses. Human- Elwin- b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: 3-2-1012 pm -3-2-I0!2 Lab 17 Hypothesis Tests || Score: 0291 0/7 answered Progresssaved Done 13! {5' 5 0 Question 4 v ( ) EI'OHBpts '05 33 @oetails Do business travelers walk at a different speed than leisure travelers? A researcher measured the walking speed of 26 business travelers and 36 leisure travelers at San Francisco International Airport. She found that the mean walking speed for business travelers was 274 feet per minute with a standard deviation of 52 feet per minute. The mean walking speed of leisure travelers was 252 feet per minute with a standard deviation of 48 feet per minute. Can the researcher conclude that business travelers walk at a different speed than leisure travelers? Use the a = 0.09 level. a. State the null and alternative hypotheses. 30:3- 31:53- b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: -3-2-10123 -3-2-10123 Critical value(s]: [:1 [If there are two critical values, list both values separated by a comma} . Find the test statistic. D . Find the p-value. [:1 . Decide: Ha . Conclusion: At 0: = 0.06 significance level, there enough evidence to conclude that the mean monthlyr rent in the city is less than $1000. Lab 17 Hypothesis Tests II Score: 0/91 0/7 answered Progress saved Done . . . . Question 3 > 0/13 pts 95 3 0 Details A popular blog reports that 50% of college students log in to Instagram on a daily basis. The Dean of Students at a certain university thinks that the proportion may be different at her university. She polls a simple random sample of 225 students, and 127 of them report that they log in to Instagram daily. Can you conclude that the proportion of students who log in to Instagram daily differs from 50%? Use the a = 0.08 level. a. State the null and alternative hypotheses. Ho : ? Y ? Y Select an answer H1 : ? V ? Y Select an answer b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: 3 -2 -1 0 2 Q - 3 -1 0 2 Q O -2 0 2 w Q OCritical value{s): C] (If there are two critical values, list both values separated by a comma) . Find the test statistic. C] . Find the p-value. C] - Decide: Ha . Conclusion: At or = 0.04 significance level, there enough evidence to conclude that the proportion of patients in the experimental group who experienced headaches as a side effect was greater than the proportion in the control group. Critical value(S): (If there are two critical values, list both values separated by a comma) c. Find the test statistic. d. Find the p-value. e. Decide: Select an answer Ho f. Conclusion: At a = 0.08 significance level, there Select an answer v ] enough evidence to conclude that the proportion of students who log in to Instagram daily differs from 50%