Question

Questions 25-27 are related to the following

One of the different statistics reported by the Centers for Disease Control regarding incidence of obesity among adults in the United States provides that 29% of men with college degree are obese. The study also reports that 32.1% of men without a college degree are obese. Assume the latter statistic is based on a sample of 1025 men without a college degree.

Based on α = 0.05, does the data provide statistically significant evidence that the incidence of obesity among men without a college degree is greater than that among those with a college degree?

25

The test statistic for the hypothesis test is: (Your answer may differ very slightly due to rounding you use.)

a

2.19

b

2.34

c

2.48

d

2.71

26

The p-value for the test is,

a

0.0062

The incidence of obesity among men without a college degree is greater

b

0.0143

The incidence of obesity among men without a college degree is greater

c

0.0435

The incidence of obesity among men without a college degree is not greater.

d

0.0526

The incidence of obesity among men without a college degree is not greater.

27

Regardless of how you answered the previous question, which of the following statements is correct?

a

If the proportion of men without a college degree is at most 0.29 and the hypothesis test leads you to conclude that it is greater than 0.28, the you have committed a Type II error.

b

If the proportion of men without a college degree is greater than 0.29 and the hypothesis test leads you to conclude that it is at most 0.29, the you have committed a Type I error.

c

If the proportion of men without a college degree is greater than 0.29 and the hypothesis test leads you to conclude that it is at most 0.29, the you have committed a Type II error.

d

If the proportion of men without a college degree is less than 0.29 and the hypothesis test leads you to conclude that it is at least 0.29, the you have committed a Type I error.

Answer 1

d. If the proportion of men without a college degree is less than 0.29 and the hypothesis test leads you to conclude that it is at least 0.29, the you have committed a Type I error.