Fifty-five voters from a sample of 80 indicated that they favored casino gambling in their city. The city council is interested in finding out whether or not there is a significant difference between the proportions of those favoring and not favoring casino gambling in their community. The decision regarding the null hypothesis is ______________. A) do not reject H₀ B) to accept both the null and alternative hypotheses C) reject H₀ D) that there is insufficient information to determine which hypothesis to reject

Question

Quizplus · Accepted Answer

Based on the information provided, the null hypothesis (H0) would be that there is no significant difference between the proportions of those favoring and not favoring casino gambling in the community. Since 55 out of 80 voters favored gambling, the proportion would be 0.6875. If we assume that the proportion of those favoring gambling is the same as the proportion not favoring it, we can use a hypothesis test to determine if the difference in proportions is significant. A common significance level for this test is 0.05. If the calculated p-value is less than 0.05, we would reject the null hypothesis and conclude that there is a significant difference between the proportions. Since the question does not provide the p-value or significance level used, we can assume a commonly used value of 0.05 and conclude that the decision would be to reject the null hypothesis.

Fifty-Five Voters from a Sample of 80 Indicated That They