A sample of 400 journalism majors at a major research university was asked if they agreed with the following statement "Government should be more involved in oversight and regulation of reporting".Fifty-two (52)percent of the respondents agreed with the statement.Calculate the appropriate test statistic to test the claim that at least 50% of journalism majors agree with the statement.
A)0.80
B)1.60
C)8.00
D)-1.60
E)-0.80

Question

Quizplus · Accepted Answer

The test statistic is calculated using the formula for a proportion: $ z = \frac{\hat{p} - p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}} $, where $\hat{p} = 0.52$, $p_0 = 0.50$, and $n = 400$. Plugging in these values gives $ z = \frac{0.52 - 0.50}{\sqrt{\frac{0.50 \times 0.50}{400}}} = 0.80 $.

A Sample of 400 Journalism Majors at a Major Research