One of the different statistics reported by the Centers for Disease Control rega

Question

One of the different statistics reported by the Centers for Disease Control regarding incidence of obesity among adults in the United States provides that 28% of men with college degree are obese. The study also reports that 31.8% of men without a college degree are obese. Assume the latter statistic is based on a sample of 1015 men without a college degree. Based on a 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? 24 This involves which of the following hypothesis statements? Ho: T20.28 Ho: ms 0.28 H1: 0.28 Both b and d are correct. 25 The test statistic for the hypothesis test is, 1.94 2.04 2.25 2.70 26 The p-value for the test is, a 0.0262 The incidence of obesity among men without a college degree is not greater b 0.0122 The incidence of obesity among men without a college degree is not greater c 0.0035 The incidence of obesity among men without a college degree is greater d 0.0016 The incidence of obesity among men without a college degree is greater Regardless of how you answered the previous question, which of the following statements is correct? If the proportion of men without a college degree is at most 0.28 and the hypothesis test leads you to conclude that it is greater than 0.28, the you have committed a Type II error 27 a e proportion of men without a college degree is greater than 0.28 and the hypothesis test leads you to conclude that it is at most 0.28, the you have committed a Type II error If the proportion of men without a college degree is greater than 0.28 and the hypothesis test leads you to conclude that it is at most 0.28, the you have committed a Type I error If the proportion of men without a college degree is less than 0.28 and the hypothesis test leads you to conclude that it is at least 0.28, the you have committed a Type I error b If th c d

Explanation / Answer

Ans:

24)Both b and d are correct(option e is correct)

25)

z=(0.318-0.28)/sqrt(0.28*(1-0.28)/1015)

z=2.70

option d is correct.

26)p-value=P(z>2.70)=0.0035

Option c is correct.

As,p-value<0.05,we reject null hypothesis.The incidenec of obesity among men without a college degree is greater.

27)Option b is correct.

if the proportion of men without a college degree is greater than 0.28 and the hypothesis test leads you to conclude that it is atmost 0.28,then you have commited type II error.

(we make type II error,when we fail to reject null hypothesis and null hypothesis is false)

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