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As part of a Pew Research Center Poll, subjects were asked if there is solid evidence that the earth is getting warmer. Among 1501 respondents, 20% said that there is not such evidence. Use a 0.01 significance level to test the claim that less than 25% of the population believes that there is not solid evidence that the earth is getting warmer. Find the test statistic. Is it a t-statistic or a z-statistic? Solution It is a Z statistic. The test statistic is Z=(phat-p)/[p*(1-p)/n] =(0.2-0.25)/sqrt(0.25*0.75/1501) =-4.47.

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As part of a Pew Research Center Poll, subjects were asked if there is solid evidence that the earth is getting warmer. Among 1501 respondents, 20% said that there is not such evidence. Use a 0.01 significance level to test the claim that less than 25% of the population believes that there is not solid evidence that the earth is getting warmer. Find the test statistic. Is it a t-statistic or a z-statistic? Solution It is a Z statistic. The test statistic is Z=(phat-p)/[p*(1-p)/n] =(0.2-0.25)/sqrt(0.25*0.75/1501) =-4.47

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