· The text reports the results of a test for the significance ofthe difference i

Question

· The text reports the results of a test for the significance ofthe difference in average education for random samples ofmales and females. Males averaged 13.76 years of schooling and females averaged 14.04 years The Z score computed in step 4 for this difference was- 1.49. Given these results, which of the following is reasonable condusion? a. The difference is statistically significant, large, and important. b. The difference is not statistically significant and was probably caused by random chance

Explanation / Answer

We have

The test for significance of the difference in average education for sample of males and females.

The Z score for difference is -1.49 .

Conclusion: If absolute value of test statistic is larger than the critical (table ) value ten we reject the null hypothesis at given level of significance . Otherwise accept the null hypothesis.

The level of significance are not given.

If we use level of significance 5% or 1% the critical values are 1.96 and 2.58 for two taied test .

Then in this level of significance the test is not rejected .

The true conclusion is

b. The difference is not statistically significant and probably caused by random chance.

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