# Estimates and sample sizes

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The administration of a large university wants to estimate what proportion of their full time engineering students are female. If she obtains a random sample of a 100 engineering students from the day campus of which 30 students are female what would her confidence interval be if she needs a confidence level of 95%?

a. What is the point estimate (p) for the percentage of engineering students that are female?

b. What is the appropriate distribution (z or t)? (circle answer or high light answer)

c. Show equation with filled in numerical values.

d. What is the Confidence Interval?

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This solution discusses estimates and sample sizes.

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a. Point estimate (p) for the percentage of engineering students that are female

= 30/100 = 0.30

b. z

c. 95% Confidence Interval for proportion is given by

[p-Z_(alpha/2)sqr[(p(1-p))/n]p + Z_(alpha/2)sqr[((p(1-p)/n)]

where p = x/n = 30/100 = 0.30, Z_(alpha/2) = ...

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