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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