Question 11 of 15 View Policies Current Attempt in Progress > According to a Pew Research Center report from 2012, the average commute time to work in California is 27.5 minutes. To investigate whether a different average is true for the small city that she lives in, a California high school student surveys 45 people she knows- her teachers, her parents and their friends and co-workers and finds the average commute time for this sample to be 24.33 minutes, with a standard deviation of 9.53 minutes. (a) What are the appropriate null and alternative hypotheses for this study? O Ho: The commute time in the California city is 27.5 minutes (u= 27.5). H,: The commute time in the California city is different than 27.5 minutes (27.5). O Ho: The average commute time in the California city is 27.5 minutes (j = 27.5). H₂: The average commute time in the California city is different than 27.5 minutes (27.5). O Ho: The average commute time in the sample is 27.5 minutes (j = 27.5). H,: The average commute time in the sample is different than 27.5 minutes (27.5). eTextbook and Media -/1 E
(b) Use the Theory-Based Inference applet to find and report a standardized statistic (t-statistic) and a p-value for the test. Report answers as provided in the applet (no rounding). t-statistic and p-value = i eTextbook and Media (c) Choose the best conclusion based on the p-value. O Because the p-value is less than 0.05 we have strong evidence that the commute time in the California city is different than 27.5 minutes. O Because the p-value is less than 0.05 we have strong evidence that the average commute time in the California city is different than 27.5 minutes. Because the p-value is less than 0.05 we have strong evidence that the average commute time in the sample is different than 27.5 minutes. eTextbook and Media
(d) The data did not come from a random sample; rather it came from a convenience sample of people to whom the student had access. Given that information, to what population do you think we can generalize our results? O We could generalize to the California as a whole. O We could generalize to the city residents as a whole. O We could generalize just to the people like those that she and her parents know. O No generalization is allowed because the sample size is small. eTextbook and Media
Question 11 of 15 View Policies Current Attempt in Progress > According to a Pew Research Center report from 2012, the a
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