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 p-value associated with the test statistic.
A).0001
B).2000
C).2119
D).2881
E).4238

Question

Quizplus · Accepted Answer

To calculate the p-value, we need to use a hypothesis test with a null hypothesis that assumes 50% of journalism majors agree with the statement and an alternative hypothesis that states otherwise (either more or less than 50% agree). We can use a one-sample proportion test with a significance level of 0.05.

The test statistic is z = (0.52 - 0.5) / sqrt((0.5 * 0.5) / 400) = 0.92.

To find the p-value, we need to calculate the probability of getting a test statistic as extreme or more extreme than 0.92, assuming the null hypothesis is true. This is a one-tailed test since we're only interested in the proportion being greater than 50%. Using a standard normal distribution table, we can find that the p-value is approximately 0.2119.

Therefore, the best answer is C.

A Sample of 400 Journalism Majors at a Major Research