A Major Issue Facing Many States Is Whether to Legalize

question 29

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. The sample data provide sufficient evidence to conclude that more than 58 percent of the population
• Favor legalized gambling.

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Definitions:

Pessimists

Individuals who generally expect negative outcomes or focus on the worst aspects of situations.

Learned Helplessness

A condition where a person suffers from a sense of powerlessness, arising from traumatic events or persistent failure to succeed.

Depression

An emotional wellness issue where an individual experiences constant feelings of sadness or has a diminished interest in activities, significantly affecting their daily living.

Seligman

A psychologist known for his work in positive psychology and the theory of learned helplessness.