A congressional committee wishes to examine the effect of proposed legislation o

Question

A congressional committee wishes to examine the effect of proposed legislation on the nation's high schools. It randomly selects 5 high schools from the 20 in the Washington D.C. area and conducts a study on those 5 schools. Has the committee obtained a random sample of the nation's high schools? During a news broadcast a Topeka television station asked the question "Should liquor by the drink be allowed in Kansas?" It subsequently received 372 phone responses in which 164 persons said "no" and the rest said "yes". Has the television station obtained a random sample of the people in its viewing area? In order to obtain a sample of law firms, a list of all lawyers in the city was obtained and 7 lawyers were selected at random. The law firms to which those lawyers belonged were then selected. Do you have a random sample of law firms?

Explanation / Answer

16.a. Yes ,as form the definition of simple random sample, the probaboility that each element gets seleted should be same, and 5 are here being chosen randomly so its a random sample

b.Its not a random sample. Since the people who are watching the broadcast only replies which is making the sample biased towards broadcast viewers.

c.Yes the lawyers are selected from the complete list. Hence its a random sample, since the selection of any lawyer had equal probability and done randomly

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