For example, we frequently experience voting issue that request approval for the increase of taxes to benefit programs for mental health. Are there any available statistics that demonstrate the pass rate of these voting issues?
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In a public opinion survey, 70 out of a sample of 100 high-income voters and 55 out of a sample of 80 low-income voters supported the introduction of a new national security tax. Estimate, with 95% confidence level, the true proportion of high-income people who will vote for the introduction of the tax. Can we conclude at the 5% level of significance that the proportion favoring the new security tax differs between high-income and low-income voters?
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For each study, explain which statistical procedure (estimating a single proportion; estimating a single mean; hypothesis test for a single proportion; hypothesis test for a single mean; hypothesis test or estimation of two proportions, dependent or independent; hypothesis test or estimation of two means, dependent or independent) would most likely be used for the research objective given. Assume all model requirements for conducting the appropriate procedure have been satisfied. What proportion of registered voters is in favor of a tax increase to reduce the federal debt?
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