3. A poll of two years ago, conducted by Louis Harris & Associates for Business Week magazine, examined the perception o

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3 A Poll Of Two Years Ago Conducted By Louis Harris Associates For Business Week Magazine Examined The Perception O 1 (264.63 KiB) Viewed 26 times

3. A poll of two years ago, conducted by Louis Harris & Associates for Business Week magazine, examined the perception of American adults of their government. When asked whether the U.S. government represents the concerns of the American people or those of special interest groups, 63% of those polled felt that the U.S. government primarily represents the concerns of special interest groups. Assume that this percentage was true for the population of all American adults at the time the poll was conducted. A recent random sample of 1200 American adults found that 61% of them feel that the U.S. government represents the concerns of special interest groups. Let p be the percentage of all American adults who hold this view recently. Is the currant proportion of all U.S. adults who hold this opinion is less than 63%? Perform the hypothesis testing at 1% significance level by answering the following questions. (a) Formulate the null and alternative hypothesis. (b) State the test statistic and its approximate distribution. (c) Determine the critical value for a = .01 and state the decision rule. (d) Calculate the observed value of the test statistic from the sample. (e) State whether He is rejected and tell why. (f) Calculate the P-value and do the hypothesis testing based on the P-value. 1 (g) Express the conclusion in the context of the problem, using common language.