Question

Find the p-value for the hypothesis test. A random sample of size 52 is taken. The sample has a mean of 425 and a standard deviation of 86.

H0: µ = 400

Ha: µ > 400

The p-value for the hypothesis test is .

Your answer should be rounded to 4 decimal places.

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :   = 400

Ha : > 400

Test statistic = z

= ( - ) / / n

= (425 - 400) / 86 / 52 = 2.096

Test statistic = 2.096

P(z > 2.096) = 1 - P(z < 2.096) = 1 - 0.982 = 0.018

P-value = 0.0180