Question

1. a campus newsletter reports that 28% of students typically study in the student union. believing this reported value is too low, an administrator surveys a random sample of 350 college students about this topic. before drawing any conclusions, the administrator will need to compute a test statistic. which one of the following pieces of information is not required for computing this test statistic? a. the size of the sample b. the significance level c. the standard error d. the reported parameter e. all of the above pieces of information are required to compute the test statistic.

Explanation:

• Sample size: Used in calculating standard error (if formula for standard error of proportion \(SE = \sqrt{\frac{p(1 - p)}{n}}\), \(n\) is sample size).
• Standard error: Part of the formula for test - statistic (e.g., \(z=\frac{\hat{p}-p}{SE}\) for proportion tests).
• Reported parameter: \(p\) (the proportion from the campus newsletter) is used in the test - statistic formula.
• Significance level: Used in determining the critical value (for hypothesis testing decision - making), not in the calculation of the test - statistic itself.

Answer:

B. The significance level