Physicians at a college campus health clinic are concerned about the rising rates of chlamydia among the student body. Assume national statistics state that the prevalence of chlamydia among university aged students is 11%. The physicians at the college health clinic sampled 134 students and found that 29 of them were confirmed positive for chlamydia.
A) Conduct a formal test to determine if the prevalence of chlamydia is statistically different from the national statistics at the alpha level of 0.05. Write out your null and alternative hypotheses and interpret your results.
B) Construct a 95% confidence interval about your estimate for the prevalence of chlamydia at the college campus.
PLEASE CHOOSE THE MOST APPROPRIATE OPTION ( Please do not post calculations that do not match the options given, I must choose one of the options and I cannot get to the right answer, thank you.
Option 1 A) Ho: p=0.11, Ha: p≠0.11 Z statistic=39.364 Pvalue=<0.0001 Accept the null hypothesis, and conclude that the proportion of chlamydia cases on the college campus is in fact the same as the national average for the age demographic. B) Ci (1.055, 2.094) |
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Option 2
A) Ho: p=0.11, Ha: p≠0.11 Z statistic=12.364 Pvalue=<0.01 Reject the null hypothesis, and conclude that the proportion of chlamydia cases on the college campus is in fact greater than the national average for the age demographic. B) Ci (.0025, 0.0074) |
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Option 3 A) Ho: p=0.11, Ha: p≠0.11 Z statistic=3.9364 Pvalue=<0.0001 Reject the null hypothesis, and conclude that the proportion of chlamydia cases on the college campus is in fact greater than the national average for the age demographic. B) Ci (0.155, 0.294) |
Correct option is 3
A) Ho: p=0.11, Ha: p≠0.11
Z statistic=3.9364
Pvalue=<0.0001
Reject the null hypothesis, and conclude that the proportion of chlamydia cases on the college campus is in fact greater than the national average for the age demographic.
B) Ci (0.155, 0.294)
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