Question

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly less than 0.5. You use a significance level of 0.01.

H0: p=.5 / H1: p<.5

You obtain a sample of size n=438 in which there are 204 successes. What is the test statistic for this sample? (Report answer accurate to two decimal places.) test statistic =

Answer 1

The test statistic for this sample is -4.47.

Step-by-step explanation:

The test statistic for this sample can be calculated using the formula:

test statistic = (p' - p) / sqrt((p * (1 - p)) / n)

Plugging in the values, we have:

test statistic = (0.4671 - 0.5) / sqrt((0.5 * (1 - 0.5)) / 438) = -4.47

Therefore, the test statistic for this sample is -4.47.