Question

to test the hypothesis that the average fear among republican voters is less than 50 points on the 100 - point scale we should conduct a t - test z - test two - sample t - test two - sample paired t - test question 3 (1 point) ✓ saved the value of the correct statistic for this hypothesis test is approximately - 0.58 - 0.08 + 0.08 + 0.58

Explanation:

A t - test is used when the population standard deviation is unknown (which is often the case in practice). Here, we are testing a hypothesis about a single population mean (average fear among Republican voters). A z - test is used when the population standard deviation is known. Since no information about the population standard deviation being known is given, a t - test is appropriate. For the value of the statistic, without the formula and data (assuming it was calculated as \(t=\frac{\bar{x}-\mu}{s/\sqrt{n}}\) where \(\bar{x}\) is the sample mean, \(\mu = 50\), \(s\) is the sample standard deviation and \(n\) is the sample size), but if the answer is given as - 0.58, we assume the calculation led to that negative value (negative because we are testing if the mean is less than 50).

Answer:

For the first question: t - test.
For the second question: - 0.58.