Problem 3) A random digit dialing telephone survey of 880 drivers asked, â€œRecalling the intersections on...

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Problem 3) A random digit dialing telephone survey of 880drivers asked, â€œRecalling the intersections on your most recentdrive to work or school , were any of traffic lights red when youentered the intersections, i.e. did you run any red lights?â€ Of the880 respondents, 171 admitted that yes, at least one light had beenred.
a) What is the response variable? Is it categorical orquantitative?
b) Show that the normal approximation for pÌ‚ is valid byverifying the three conditions. Include the arithmetic. (Rememberthat when we â€œassumedâ€ that we knew Ï€, we used nÏ€ â‰¥ 10. Incontrast, this problem is reality where we do not know Ï€: we aretrying to estimate Ï€ with a confidence interval. So, we use ?Ì‚toestimate Ï€ in checking the condition.)
c) Estimate the population proportion of drivers who ran a redlight on the way to work or school with a 95 percent confidenceinterval. (Round the standard deviation to 2 nonzero decimals. Forexample, if you calculate ??Ì‚ to be 0.01234, round to 0.012.)
d) Interpret the confidence interval with a statement in thecontext of the problem.

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a What is the response variable Is it categorical orquantitativeHere we are surveying about whether people ran a red light atintersections or not So the replies would be either yes or noSince yes or no are non numericalResponse variable people ran a red light at intersections ornot on most recent drive to work or See Answer

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