A Major Issue Facing Many States Is Whether to Legalize

Multiple Choice

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. Assuming that a significance level of 0.05 is used,what conclusion should the governor reach based on these sample data?

A) Since z = 1.1594 < 1.645,do not reject the null hypothesis.
The sample data do not provide sufficient evidence to conclude that more than 55 percent of the population favor legalized gambling.
B) Since z = 2.1316 > 1.645,reject the null hypothesis.
The sample data provide sufficient evidence to conclude that more than 55 percent of the population favor legalized gambling.
C) Since z = 1.1594 < 1.645,do not reject the null hypothesis.
The sample data do not provide sufficient evidence to conclude that more than 58 percent of the population favor legalized gambling.
D) Since z = 2.1316 > 1.645,reject the null hypothesis.