A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.20. In a sample of 200 graduates, 30 students have a GPA of 3.00 or below. At a 5% significance level, the decision is to ________. A) reject H₀; we can conclude that the proportion of graduates with a GPA of 3.00 or below is significantly less than 0.20 B) reject H₀; we cannot conclude that the proportion of graduates with a GPA of 3.00 or below is significantly less than 0.20 C) not reject H₀; we can conclude that the proportion of graduates with a GPA of 3.00 or below is significantly less than 0.20 D) not reject H₀; we cannot conclude that the proportion of graduates with a GPA of 3.00 or below is significantly less than 0.20

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The proportion of graduates with a GPA of 3.00 or below in the sample is 30/200 = 0.15, which is less than the hypothesized proportion of 0.20. At a 5% significance level, if the test statistic calculated from this sample data falls into the critical region, it suggests that the sample provides enough evidence to reject the null hypothesis (that the true proportion is at least 0.20) in favor of the alternative hypothesis (that the true proportion is less than 0.20). Therefore, without the exact p-value or test statistic provided, the description implies that the statistical test led to rejecting the null hypothesis, supporting the conclusion that the proportion is significantly less than 0.20.

A University Interested in Tracking Its Honors Program Believes That