An SRS of 1200 USC students was selected from a list of 48,000 USC students; 940

Question

An SRS of 1200 USC students was selected from a list of 48,000 USC students; 940 of selected students reported that they live o campus. The 940 selected students who live o campus reported having the following number of pets:

Number of Pets

Number of respondents

(a) Estimate proportion of USC students who live o campus and have pets. Find the standard error of your estimate.

(b) Estimate the average number of pets per student for USC students who live o campus. Find the standard error of your estimate.

(c) Report the 99% CI interval for the average number of pets per student among USC students who live o campus.

(d) Estimate the total number of pets owned by all USC students who live o campus. Report the standard error of your estimate

Number of Pets

Number of respondents

Explanation / Answer

a) Ps=940/48000=0.0196 SE=sqrt [Ps(1-Ps)/N]=sqrt [0.0196(1-0.0196)/48000]=0.0006

b) 33/940=0.035 SE=sqrt [0.035(1-0.035)/940]=0.006

c) 99% c.i=0.035+-2.58*0.006=0.035+-0.015=0.02 to 0.05

d) 33, SE=sigma/sqrt 33=3.44/sqrt 33=0.60 [compute standard deviation for number of pets, sigma=3.44]

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