A Pew Research Center poll included 1708 randomly selected adultswho were asked

Question

A Pew Research Center poll included 1708 randomly selected adultswho were asked whether "global warming is a problem that requiresimmediate government action." Results showed that 939 of thosesurveyed indicated that immediate government action is required. Anews reporter wants to determine whether these survey resultsconstitute strong evidence that the majority (more than 50%) ofpeople believe that immediate government action is required.

a. What is the best estimate of the percentage of adults whobelieve that immediate government action is required?

b. Construct a 99% confidence interval estimate of the proportionof adults believing that immediate government action isrequired.

c. Is there strong evidence supporting the claim that the majorityis in favor of immediate government action? Why or why not?


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Explanation / Answer

Part a) Our best estimate of the the true percentage ofadults in your prblem's survey is the proportion obtained bythe survey. This proportion is simply 939/1708, or roughly54.9766% of the population. This is thenumber we will form our confidence interval around. Party b) The confidence interval formula is samplesample proportion±Z*(((p(1-p))/N)) which gives you.5498±2.576(((.5498*.4502)/1708)) which gives you(.51876,.58077) Part c) Because .5 is NOT in the confidence interval,there IS strong evidence that the majority (morethan .5) are in favor of immediate government action.

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