Question

question 3
1 pts
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?
the size of the sample
the significance level
the standard error
the reported parameter
all of the above pieces of information are required to compute the test statistic.

Explanation:

The test statistic formula for a proportion is \( z=\frac{\hat{p} - p}{\text{SE}} \), where \(\text{SE}=\sqrt{\frac{p(1 - p)}{n}}\). The sample size \(n\) is used in calculating the standard error \(\text{SE}\), the reported parameter \(p\) (the proportion from the campus newsletter, \(p = 0.28\)) is in the numerator and denominator (for \(\text{SE}\)), and the standard error \(\text{SE}\) is part of the formula. The significance level (\(\alpha\)) is used to determine the critical value (for hypothesis - testing decision - making, e.g., comparing \(z\) to \(z_{\alpha}\) or \(z_{\alpha/2}\)), but it is not part of the formula for calculating the test statistic itself.

Answer:

The significance level.