Question

4. When doing a significance test, an investigator obtained a p-value of 0.1. You may assume a significance level of 0.05. This means that:

A. Assuming Ho is true, this sample’s result was an unlikely event.

B. Assuming Ha is true, this sample’s result was an unlikely event.

C. The data are consistent with H0.

3. A one-way ANOVA analysis is run with 4 different factor levels where the normality assumption is not met. The p-value of the F-test is 0.001. What conclusion can you make concerning the means at a significance level of 0.05?

A We have evidence that all of the means are the same.

B. We have evidence that all of the means are different.

C. We have evidence that at least two of the means are different from each other.

D. No decision can be made.

Answer 1

ans 4) since the obtained p value is greater than the significance level

i.e. 0.1 > 0.05 this shows that the result is not significant

hence the correct ans is option A) Assuming Ho is true, this sample’s result was an unlikely event.

ans 5) in this null hypothesis would be all of the means are the same.

and alternative hypothesis would be all of the means are different.

since the obtained p value from F test is less than the significance level

i.e. 0.001< 0.05 this shows result is significant so we will accept the alternative hypothesis

hence optionB ) is correct .We have evidence that all of the means are different.