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Find the test statistic, find the critical values of x2 and limits containing P-value, then determine whether there is sufficient evidenceto support the given alternative hypothesis

H1: variance is not equal to 18, alpha = 0.05, n =25, s = 22

Determine the test statistic (round to nearest thousandth)
Use a chi square table to determine the critical values
Enter lower value first. ___ ___(round to thousandth)

Choose one:
a. There is sufficient evidence to support the claim
b. There is not sufficient evidence to support the claim

Solution This solution is FREE courtesy of BrainMass!

Find the test statistic, find the critical values of x2 and limits containing P-value, then determine whether there is sufficient evidence to support the given alternative hypothesis

H1: variance is not equal to 18, alpha = 0.05, n =25, s = 22

Determine the test statistic (round to nearest thousandth)
Use a chi square table to determine the critical values

Enter lower value first. 12.401

Choose one:
a. There is sufficient evidence to support the claim
b. There is not sufficient evidence to support the claim

The answer is b).

Note: we can compute the test chi-squared statistic
(n-1)*s^2/sigma^2=24*22^2/18^2=35.85
which is between 12.401 and 39.364. So, we fail to reject the null hypothesis.