2. In a 2009 nonscientific poll on the Web site of the Daily Gazette of Schenectady, New York, readers were asked the following question: “Are you less inclined to buy a General Motors or Chrysler vehicle now that they have filed for bankruptcy?” Of the respondents, 56.1% answered “Yes” . In a recent survey of 1200 adult Americans who were asked the same question, 615 answered “Yes.” Can you reject the null hypothesis at the 1% significance level in favor of the alternative that the percentage of all adult Americans who are less inclined to buy a General Motors or Chrysler vehicle since the companies filed for bankruptcy is different from 56.1%? Use both the p-value and the critical-value approaches.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.