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(Solved) 1. In a 2003 article, Hui and Bell ( Health and Place. 9:371-376)


1. In a 2003 article, Hui and Bell (Health and Place. 9:371-376) reported that among 2,428 boys aged 7 to 12 years, 461 were overweight or obese.
a. On the basis of that study, can we conclude that more than 15 percent of the boys aged 7 to 12 in the sampled population are overweight?
b. What is the p-value?
c. What was the null hypothesis?

2. Landoldt et al. (J Child Psychol Psychiat. 44:1199-1207) examined rates of posttraumatic stress disorders (PTSD) in mothers and fathers. Parents were interviewed 5 to 6 weeks after an accident or a new diagnosis of cancer or diabetes mellitus for their child. The 2003 survey found that 28 of the 175 fathers interviewed and 43 of the 180 mothers interviewed met the criteria for current PTSD.
a. What is p-hat, the weighted average of the proportion?
b. What is the null hypothesis if comparing mothers to fathers?
c. What is the p-value of the two-sided test?
d. At the 0.05 level of significance, can we conclude that fathers and mothers are not equally likely to develop PTSD after stress?

3. In a study published in November 2006, Skyberg et al. (Infect Immun. 74(11):6287-6292) examined different pathogenic strains of E. coli. The authors tested each strain's ability to kill chicken embryos. The data is in a table below:

strain

# of embryos

# of deaths

NC

66

10

APEC 02

64

48


a. What is p-hat, the weighted average of the proportion?

b. Construct a 95% confidence interval for the true proportion of chicken embryo deaths by the NC strain.

c. Construct a 95% confidence interval for the true proportion of chicken embryo deaths by the APEC 02 strain.

d. Do the intervals overlap?

e. Perform a two-sided hypothesis test to compare the proportion of NC deaths to the proportion of APEC 02 deaths. What is the p-value?

f. What is the conclusion of this test?


 


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