SOLUTION: A simple random sample of 400 persons is taken to estimate the percentage of women in the Boston Teacher's Union whose total membership is 8000. Of those surveyed, 268 teachers are
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Question 1149413: A simple random sample of 400 persons is taken to estimate the percentage of women in the Boston Teacher's Union whose total membership is 8000. Of those surveyed, 268 teachers are females. We can be 95 percent confident that between
____ percent and __ percent of the teachers in the union are females.
You can put this solution on YOUR website! 95% interval is sample proportion +/- z*sqrt (p*(1-p)/n), where z=1.96
268/400 is 0.67. The 8000 just shows that the population is a lot larger than the sample (although it could be factored in to this using the finite population correction, which takes into part the fact that the sample is a significant part of the population.
CI is 0.67+/- 1.96 sqrt (.67*.33/400)=0.67+/- 0.0461
this interval is (0.6239, 0.7161) which can be rounded.
