Question

1. Your hypothesis test for a proportion has a two-tailed critical region. The test statistic is z = -2.62. Find the p-value accurate to 2 decimal places. p-value = ____________

2. Your hypothesis test for a mean with n = 26 has a left-tailed critical region. The test statistic is tt = -3.26. Find the p-value accurate to 2 decimal places.

p-value =___________________

Answer 1

Solution :

1 ) Given that,

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :   =

H_a :    

Test statistic = z = -2.62

P-value =2 * 0.0043 = 0.0086 = 0.01

2 ) Given that,

Degrees of freedom = df = n - 1 = 26 - 1 = 25

This is the left-tailed test .

The null and alternative hypothesis is ,

H₀ :   =

H_a : <

Test statistic = t = -3.26

P-value =0.0016 = 0.00