A test is conducted to compare three difference income tax software packages to determine whether there is any difference in the average time it takes to prepare income tax returns using the three different software packages.Ten different people's income tax returns are done by each of the three software packages and the time is recorded for each.The computer results are shown below. Based on these results and using a 0.05 level of significance which is correct regarding the primary hypothesis?
A)The three software packages are not all the same because p = 1.6E-14 is less than 0.05.
B)The three software packages are all the same because p = 1.6 is greater than 0.05.
C)The three software packages are not all the same because p = 2.66E-5 is less than 0.05.
D)The three software packages are all the same because p = 2.66 is greater than 0.05.

Question

A test is conducted to compare three difference income tax software packages to determine whether there is any difference in the average time it takes to prepare income tax returns using the three different software packages.Ten different people's income tax returns are done by each of the three software packages and the time is recorded for each.The computer results are shown below.  Based on these results and using a 0.05 level of significance which is correct regarding the primary hypothesis?
A)The three software packages are not all the same because p = 1.6E-14 is less than 0.05. 
B)The three software packages are all the same because p = 1.6 is greater than 0.05. 
C)The three software packages are not all the same because p = 2.66E-5 is less than 0.05. 
D)The three software packages are all the same because p = 2.66 is greater than 0.05.

Quizplus · Accepted Answer

The null hypothesis is that there is no difference in the average time it takes to prepare income tax returns using the three different software packages. The alternative hypothesis is that there is a difference. We can use ANOVA (analysis of variance) to test this hypothesis. The p-value for the ANOVA F-test is 2.66E-5, which is less than the 0.05 level of significance. Therefore, we reject the null hypothesis and conclude that the three software packages are not all the same in terms of the time it takes to prepare income tax returns.

A Test Is Conducted to Compare Three Difference Income Tax