Question

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 gambling, the governor has instructed his aides to conduct a statistical test on the issue. To do this, 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. State the appropriate null and alternative hypotheses.

Answer 1

Answer: Null hypothesis Uo = 165

Alternative Hypothesis U1 > 165

Explanation:

Null hypothesis = 55% of registered voters

In this case we sampled on 300 voters

55/100 × 300= 165voters

Null hypothesis Uo= 165

That is 165 out of 300 voters will favour legalized gambling.

Alternative Hypothesis U1 > 165

That is more than 165 out of 300 voters will favour legalized gambling.