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Hypothesis Testing Proportions and Statistics

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9) A decade-old study found that the proportion "P" of high school seniors who believed that "getting rich" was an important personal goal was 80% . A researcher decides to test whether or not that percentage still stands. He finds that, among the 235 high school seniors in his random sample, 182 believe that "getting rich" is an important goal. Can he conclude, at the 0.01 level of significance, that the proportion has indeed changed?
Perform a two-tailed test. ..Carry your intermediate computations to at least three decimal places.
? The null hypothesis
? The alternate hypothesis
? The type of test statistic
? The value of the test statistic(round three decimal places)
? The two critical values at the 0.1 level of significance: (round at least three decimals)
Can we conclude that the proportion of the high school seniors who believe that "getting rich" is an important goal has changed?

10) A presidential candidate's aide estimates that, among all college students, the proportion "P" who intend to vote in the upcoming election is at most 65%. If 184 out of a random sample of 270 college students expressed an intent to vote, can the aide's estimate be rejected at the 0.05 level of significance?
Perform a one-tailed test...Carry your intermediate computations to at least three decimal places and round your answers.
? The null hypothesis
? The alternate hypothesis
? The type of test statistic
? The value of the test statistic(round three decimal places)
? The p-value(round three decimal places)
Can we reject the aid's estimate that the proportion of college students who intend to vote is at most 65% (yes or no)

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