Consider the hypothesis statement to the right. State your conclusion given that
ID: 3182706 • Letter: C
Question
Consider the hypothesis statement to the right. State your conclusion given that s = 4.3, n = 26, and alpha = 0.10. H_0: sigma^2 = 14.0 H_1: sigma^2 notequalto 14.0 Click the icon to view a table of chi-square critical values. Calculate the appropriate test statistic. The test statistic is ___ (Round to two decimal places as needed.) Determine the appropriate critical value(s). The critical value(s) is(are)___. (Round to three decimal places as needed. Use a comma to separate answers as needed.) State your conclusion. ___ the null hypothesis. There is ___ evidence that the population variance is ___ 14.0. Do not reject/Reject the null hypothesis Insufficient/sufficient evidence different from/equal to 14.0.Explanation / Answer
The statistical software output for this problem will be:
One sample variance hypothesis test:
2 : Variance of population
H0 : 2 = 14
HA : 2 14
Hypothesis test results:
Test statistic = 33.02
Critical values = 14.611, 37.652
Do not reject the null hypothesis. There is insufficient evidence that the population variance is different from 14.0.
Variance Sample Var. DF Chi-square Stat P-value 2 18.49 25 33.017857 0.2612