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Hypothesis testing for population proportion

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A major issue facing many states is whether to legalize casino gambling. Suppose the Governor of one state believes that more than 55% of the state's registered voters would favor some form of legal casino gambling. However, before backing a proposal to allow such a gambling, the Governor has instructed his aides to conduct a statistical test on the issue. To do thi, the aides have hired a consulting firm to survey a simple random sample of 300 voters in the state. Of these 300 voters, 175 actually favored legalized gambling.

1: State the appropriate null and alternative hypotheses.
2: Assuming the significance level is 0.05 is used, what conclusion should the governor reach based upon these sample data?

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Solution Summary

The solution provides step by step method for the calculation of test statistic for population proportion . Formula for the calculation and Interpretations of the results are also included.

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