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

ROUND TO 4 DECIMAL PLACES. THANKS IN ADVANCE.

Answer 1

Solution :

Given that,

= 400  

= 425

= 86

n = 52

The null and alternative hypothesis is ,

H₀ :   = 400

H_a : > 400

This is the right tailed test .

Test statistic = z

= ( - ) / / n

= ( 425 - 400 ) / 86 / 52

= 2.096

The test statistic = 2.10

P - value = P(Z > 2.10 ) = 1- P (Z < 2.10 )

= 1 - 0.9821

= 0.0179

The p-value for the hypothesis test is : 0.0179