Question

n = 29

s^2 = 506

H0: σ^2 = 500

Assume he population is normally distributed. Assume the test statistic is 28.336. At 5% level, the null hypothesis:

a) should be rejected

b) not enough information given to determine

c) should be rejected

d) none of these alternatives are correct

Which is the correct choice? Thank you!

Answer 1

Solution:

We are given

Test is two tailed test.

Test statistic = Chi-square = 28.336

Sample size = n = 29

Degrees of freedom = n - 1 = 28

Level of significance = α = 0.05

P-value = 0.4468

(You can find this value by using Chi-square table or excel.)

P-value > α = 0.05

So, the null hypothesis should not be rejected.

Answer: Should not be rejected