Selecting a sample of 50 one bedroom apartments in this, Ask an Expert

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1. Suppose the age distribution in Sydney is as follows:

Under 18 22%
18 - 25 18%
26 - 50 36%
51 - 65 10%
Over 65 14%
Total 100%

A researcher is conducting proportionate stratified random sampling with a sample size of 250. Approximately how many people should be sampled from each stratum?

2. Candidate Hughes believes she will receive 55% of the total votes cast in her county. However, in an attempt to validate this figure, her pollster contacts a random sample of 600 registered voters in the county. The poll results show that 298 of the voters say they are committed to voting for her. If she actually has 55% of the total vote, what is the probability of getting a sample proportion this small or smaller? Do you think she actually has 55% of the vote? Why or why not?

3. The average cost of a one bedroom apartment in a town is $550 per month. What is the probability of randomly selecting a sample of 50 one bedroom apartments in this town and getting a sample mean of less then $530 if the population standard deviation is $100?

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