Question
In: Statistics and Probability
Out of a sample of 480 faculty from public community colleges, 259 were women (p1) ....
Out of a sample of 480 faculty from public community colleges, 259 were women (p1) . Out of a sample of 620 faculty from public bachelor’s institutions, 279 were women (p2) . (Data simulated from Faculty Pay 2006-2007, 2008). Determine a 90% confidence interval for the difference in proportions of women among public community colleges and public bachelor’s institutions.
a. Are the criteria for normality met? Justify your answer.
b. Compute the sample proportions of female faculty from both public community colleges and public bachelor’s institutions.
c. Estimate the standard error of differences between these sample proportions.
d. Compute the margin of error at the 90% confidence level.
e. Compute the difference of the sample proportions (p1−p2).
f. Compute the 90% confidence interval.
g. Interpret your confidence interval in the context of the problem.
Solutions
orchestra answered 1 year agoRelated Solutions
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