Hypothesis Testing Question (Needed Quickly Please)

Question

You are conducting a study to see if the probability of catching the flu this year is significantly different from 0.52. You use a significance level of 

You obtain a sample of size  in which there are 79 successes.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)

test statistic = __________

What is the p-value for this sample? (Report answer accurate to four decimal places.)

p-value = __________

Answer 1

phat = sample proportion = 79/140 = 0.56

sample size = n = 140

population proportion = p = 0.52

Test statistic = z = (phat - p)/sqrt(p*(1-p)/n) = (0.56-0.52)/sqrt(0.52*0.48/140) = 0.95

the p-value is P(z > 0.95) * 2 = (1 - P(z < 0.95)) * 2 = (1-0.8289) * 2 = 0.1711*2 = 0.3422