A major issue facing in Kathmandu is whether to legalize casino gambling for locals. Suppose the Mayor of Kathmandu believes that more than 55% of the registered voters would favor some form of legal casino gambling. However, before backing a proposal to allow such gambling, the Mayor has instructed his aides to conduct a statistical test on the issue. To solve this, the aides have hired a consulting firm to survey a simple random sample of 300 voters in the state. Of these 300 voters, 186 actually favored legalized gambling. a. State the appropriate null and alternative hypotheses.

b. Assuming that a significance level of 0.05 is used, test the hypothesis using P value approach. What conclusion should the Mayor reach based on these sample data? Discuss.

c. Carry out power of test at population proportion of voters favoring gambling is 60.5%

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