Mathematics

QUESTION 1

1.

The level of significance

 can be any positive value can be any value is (1 – confidence level) can be any value between -1.96 to 1.96

10 points

QUESTION 2

1.

When the p-value is used for hypothesis testing, the null hypothesis is rejected if

 p-value ≤ α α < p-value p-value ≥ α p-value = 1 – α

10 points

QUESTION 3

1.

When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as

 corresponding samples matched samples independent samples None of these alternatives is correct.

10 points

QUESTION 4

1.

What type of error occurs if you reject H0 when, in fact, it is true?

 Type II Type I either Type I or Type II, depending on the level of significance either Type I or Type II, depending on whether the test is one tail or two tail

10 points

QUESTION 5

1.

The p-value is a probability that measures the support (or lack of support) for the

 null hypothesis alternative hypothesis either the null or the alternative hypothesis sample statistic

10 points

QUESTION 6

1.

The power curve provides the probability of

 correctly accepting the null hypothesis incorrectly accepting the null hypothesis correctly rejecting the alternative hypothesis correctly rejecting the null hypothesis

10 points

QUESTION 7

1.

A Type II error is committed when

 a true alternative hypothesis is mistakenly rejected a true null hypothesis is mistakenly rejected the sample size has been too small not enough information has been available

10 points

QUESTION 8

1.

A two-tailed test is performed at 95% confidence. The p-value is determined to be 0.09. The null hypothesis

 must be rejected should not be rejected could be rejected, depending on the sample size has been designed incorrectly

10 points

QUESTION 9

1.

Your investment executive claims that the average yearly rate of return on the stocks she recommends is at least 10.0%. You plan on taking a sample to test her claim. The correct set of hypotheses is

 H0: μ < 10.0% Ha: μ ≥ 10.0% H0: μ ≤ 10.0% Ha: μ > 10.0% H0: μ > 10.0% Ha: μ ≤ 10.0% H0: μ ≥ 10.0% Ha: μ < 10.0%

10 points

QUESTION 10

1.

For a two-tailed test at 98.4% confidence, Z =

 1.96 1.14 2.41 0.8612
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