7 Calculate the test statistic find the critical values of x

7) Calculate the test statistic, find the critical value(s) of x^2 and use a x^2 distribution table to find the limits containing the p-value. Determine whether there is sufficient evidence to support the given alternative hypothesis

Test H0: o=2.04 versus H1: 0 not equal 2.04, given that a=0.10, n=19, and s=2.29

Test statistic: x^2=?

Critical value(s)=?

Limits that contain the P-value?

A) 0.05 < P-value < 0.01

B) 0.2 < P-value < 1

C) 0.1 < P-value < 0.2

D) 0 < P-value < 0.01

Solution

Solution : B) 0.2 < P-value < 1

Test 2 value = (19-1) * (2.29 / 2.04)^2 = 22.682

dF = 18

Critical 2 values are 9.39 and 28.869

P value = 0.203 * 2 = 0.406 Answer ( Option B)

Fail to reject the null