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!
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
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