Question

In: Statistics and Probability

1). Which of the following statements about the hypothesis testing process is incorrect? A. The researcher...

1). Which of the following statements about the hypothesis testing process is incorrect?

A. The researcher decides on the level of significance after analyzing the output from the statistical test.

B. A decision rule is a statement of the specific conditions when we decide to either reject or not reject the null hypothesis.

C. A test statistic is a value computed from sample information that is used to test the null hypothesis.

D. Holding the significance level and degrees of freedom constant, it is easier to reject the null hypothesis for a mean when conducting a one-tailed test rather than a two-tailed test.

2). Which of the following statements about Type I and Type II is incorrect?

A. When sample size increases, both α and β may decrease.

B. Type I error can only occur when you reject H₀.

C. Type II error can only occur if you fail to reject H₀.

D. The level of significance is the probability of Type II error.

Expert Solution

Here, we are given two questions with four alternatives each and we have to answer which one of the alternatives is incorrect.

1). Which of the following statements about the hypothesis testing process is incorrect?

A. The researcher decides on the level of significance after analyzing the output from the statistical test.

B. A decision rule is a statement of the specific conditions when we decide to either reject or not reject the null hypothesis.

C. A test statistic is a value computed from sample information that is used to test the null hypothesis.

D. Holding the significance level and degrees of freedom constant, it is easier to reject the null hypothesis for a mean when conducting a one-tailed test rather than a two-tailed test.

ANSWER:- A. The researcher decides on the level of significance after analyzing the output from the statistical test.

All other options are correct.

This option is incorrect because we need to fix our level of significance, alpha before analysing the output from the statistical test.

2). Which of the following statements about Type I and Type II is incorrect?

A. When sample size increases, both α and β may decrease.

B. Type I error can only occur when you reject H0.

C. Type II error can only occur if you fail to reject H0.

D. The level of significance is the probability of Type II error.

ANSWER:- D. The level of significance is the probability of Type II error.

All other options are correct.

Option D is incorrect because, The level of significance, alpha is the Probability of Type I Error.

This answers your question.

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orchestra answered 1 year ago

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