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A researcher compares the pay rates of a sample of employees at his company, and, with...

A researcher compares the pay rates of a sample of employees at his company, and, with hypothesis testing, is evaluating if men and women are paid the same. The null hypothesis states that both groups have the same average pay; the alternative is that their average pays are different. Which of the following is a type I error in the context of this study?

a) The researcher rejects the null hypothesis, suggesting there is a difference between men's and women's pay in the company, when in actuality there is not a difference in pay.

b)The researcher rejects the null hypothesis, suggesting there is insufficient evidence supporting difference between men's and women's pay in the company, when in actuality there is a difference in pay.  

c)The researcher fails to reject the null hypothesis, suggesting there is a difference between men's and women's pay in the company, when in actuality there is not a difference in pay.

d) The researcher fails to reject the null hypothesis, suggesting there is insufficient evidence supporting difference between men's and women's pay in the company, when in actuality there is a difference in pay.

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Answer #1

Hi,

Option A is correct

Type 1 error is the probability of rejecting H0 when H0 is true.

Thanks!

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