Question

Find the p -value for the hypothesis test. A random sample of size 51 is taken. The sample has a mean of 392 and a standard deviation of 83. H 0 : µ = 400 H a : µ< 400.

The p -value for the hypothesis test is... ____________ (Rounded to 4 decimal places)

Answer 1

Solution :

This is the left tailed test .

The null and alternative hypothesis is ,

H₀ :   = 400

H_a : < 400

= 392

= 400

= 83

n = 51

Test statistic = z

= ( - ) / / n

= (392 - 400) / 83 / 51

= -0.69

Test statistic = -0.69

P(z < -0.69) = 0.2451

P-value = 0.2451