Of the 2, 165 freshmen in the UPR system surveyed for the study \"Prevalence of
ID: 3290071 • Letter: O
Question
Of the 2, 165 freshmen in the UPR system surveyed for the study "Prevalence of eating disorders and depression in newly enrolled students in the University of Puerto Rico system", conducted in 2007, 736 were male and 1, 429 women. This study investigated eating disorders among freshmen form nine of the eleven UPR campuses. Among the main findings is that 5% of female college students in the sample presented symptoms of anorexia and 5.6% of bulimia. Of the males, 13 of the male university students presented symptoms of anorexia and 25 of bulimia. a. Identify the variable of interest. b. We should say that, at a significance level of 0.01, is there sufficient evidence that the proportion of college freshmen women suffering from an eating disorder is greater than that of males? c. Verify that the statistical test performed in the previous paragraph is valid. Explain. d. Build a 99% confidence interval for the difference between the proportion of college freshmen women who suffer from eating disorders and that of males. Interpret. e. What is the margin of error of the reliability interval of subsection (d)? f. Could you test the hypothesis of subsection (b) with the interval found in subsection (d)? Explain g. Identify the parameter on which the inferences are being made. h. Calculate the statistics used to estimate the parameter identified in subsection (g).Explanation / Answer
a.The variable of interest is the proportion of college freshmen suffering from an eating disorder.
b. No. of female students suffering from anorexia = 71
No. of female students suffering from bulimia = 80
Proportion of female students suffering from an eating disorder = 0.105668
Proportion of male students suffering from an eating disorder = 0.05163
To test H0 : p1=p2 ag. H1 : p1>p2, where p1 and p2 are the proportions of college freshmen female and males suffering from an eating disorder.
p-value = 1.743e-05 < 0.01.
Hence, we reject the null hypothesis at 1% level of significance and conclude that the proportion of college freshmen women suffering from an eating disorder is greater than that of males.
R codes used :
x1=c(151,38)
n1=c(1429,736)
prop.test(x1,n1,p=NULL,alt="g",conf.level=0.99)
c. The above test is valid since the sampled observations are independent and the sample size is sufficient enough to carry out the test.
d. 99 percent confidence interval : (0.02621417,1.00000000)
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.