Question: A major issue facing many states is whether or not to legalize casino gambling. Suppose the governor of one state believes that more than 55%

A major issue facing many states is whether or not 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 gambling, the governor has instructed his aides to conduct a statistical test on the issue. To find out, 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. Assuming a significance level of 0.05 is used, what conclusion should the governor reach based on these sample data?

I have:

Ho>= 55%

Z=1.645

but do not get the correct formula to use. Thanks!

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