If you find a significant difference between two groups at an alpha level of .05 and a corresponding 95% confidence interval:

a. Will you always, sometimes, or never find a significant difference by switching to an alpha level of .1 with the same sample results?
b. Will you always, sometimes, or never find a significant difference by switching to an alpha level of .01 with the same sample results?
c. Will you always, sometimes, or never find a significant difference by switching to an alpha level of .001 with the same sample results?
d. Will you always, sometimes, or never find a significant difference by switching to an 80% confidence interval with the same sample results?

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Answer:

The answer is given below

Step-by-step explanation:

a. We will always find a significant difference by switching to an alpha level of .1 with the same sample results.

b. We will sometimes find a significant difference by switching to an alpha level of .01 with the same sample results.

c. We will sometimes find a significant difference by switching to an alpha level of .001 with the same sample results.

d. We will always find a significant difference by switching to an 80% confidence interval with the same sample results.

a. Always

b. Sometimes

c. Sometimes

d. Always

Significant result:

(A) Significant result at 0.05 level of significance represents that p value should be less than 0.05. So,  significance level is 0.10, due to this p value less than 0.05 level will always be less than 0.10 significance level.

(B) Significant result at 0.05 level of significance shows that p value should be less than 0.05. So, significance level is 0.01, due to this p value less than 0.05 level will sometimes be less than 0.01 significance level.

(C) Significant result at 0.05 level of significance shows that p value must be less than 0.05. So, significance level is 0.001, due to this p value less than 0.05 level will sometimes be less than 0.001 significance level.

(D) Significant result at 0.05 level of significance shows that p value should  be less than 0.05. So, significance level is 0.20 or confidence level of 80%, due to this p value less than 0.05 level will always be less than 0.20 significance level.

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