Question

In: Statistics and Probability

#1 – 5: Select the proper conclusion from the following list. Assume that the null hypothesis...

#1 – 5: Select the proper conclusion from the following list. Assume that the null hypothesis is no difference or no mean difference.

[a] Reject the alternate hypothesis. We have good evidence that there is a significant difference.

[b] Do not reject the alternate hypothesis. We do not have enough evidence that there is a significant difference.

[c] Accept the alternate hypothesis. There is no evidence of a significant difference.

[d] Reject the null hypothesis. There is evidence of a significant difference.

[e] Accept the null hypothesis. There is no difference.
[f] Do not reject the null hypothesis. There is not enough

evidence of a significant difference.
The P-value for a test comparing two means is 0.04.

Answer: __

The P-value for a test comparing the mean difference is 0.18.

Answer:

A confidence interval for the mean difference is (– 5.2, 17.6).

Answer: __

A confidence interval for the difference in the two means is (– 49, – 34). Answer:

A confidence interval for the mean difference is (12, 29).

Answer:

Solutions

Expert Solution

First we assume that the level of significance = = 0.05

Decision rule:

1) If p-value < level of significance (alpha) then we reject null hypothesis

2) If p-value > level of significance (alpha) then we fail to reject null hypothesis.

1. Here p value = 0.04 < 0.05 so we used first rule.

That is we reject null hypothesis

[d] Reject the null hypothesis. There is evidence of a significant difference.

2) Here p value = 0.18 > 0.05 so we used 2nd rule.

That is we fail to reject null hypothesis

[f] Do not reject the null hypothesis. There is not enough

evidence of a significant difference.

3)  A confidence interval for the mean difference is (– 5.2, 17.6).

Since confidence interval include 0 so we fail to reject null hypothesis.

[f] Do not reject the null hypothesis. There is not enough

evidence of a significant difference.

4) A confidence interval for the difference in the two means is (– 49, – 34).

Zero is not included in this interval so we reject null hypothesis and accept alternative hypothesis.

[d] Reject the null hypothesis. There is evidence of a significant difference.

5) A confidence interval for the mean difference is (12, 29).

Zero is not included in this interval so we reject null hypothesis and accept alternative hypothesis.

[d] Reject the null hypothesis. There is evidence of a significant difference.

orchestra answered 2 years ago
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