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1
Lecture 8
Homework
Your goal is to pick a simple random sample of 5 players from the San Francisco Giants team. Using a
random number generator, how would you go about doing this?
1.
Answer:
In the random sample of 5 players from San Francisco Giants team. In this sample, I will create a simple
statistical question which will states “If there 5 players who actively attain the game in the San Francisco, what
would be the probability that this players will win the game if the opponent already scored 9 out 10 and only 4
of the 5 players only scored 7 out of 10?”. This will create critical analysis which we are going to define the
probability of winning the game.
Days before the 1936 United States presidential election, Literary Digest, a reputable magazine of the time,
published a poll of 2,4000,000 respondents with the following results: 57% favored Republican Alf Landon
over Deomcrat Franklin Roosevelt. The poll involved contacting a total of 10 million people by mail (using
private clubs mailing lists or the telephone book). A Landon victory was predicted and the prediction was off by
19% when Landon received only 38% of the vote. Compare this 2,400,000 people poll to modern polls that
typically sample from 1,000 to 1,500 people and claim to be accurate within 4% (if you have paid attention to
Gallup, Harris, and other reputable pollsters in recent years, there is no reason to disagree with their claim).
Why was it that the Literary Digest poll couldn't do nearly as well with a much larger sample? (1.5.1)
2.
Answer:
We have here based on the case above that the sampling error was in a high percentage which is 19% for in the
Literary Digest poll, the largest ever in a major public opinion poll. Generally, all the sampling error would
results to bias. Every name on this lest was mailed a mock ballot and asked to return the marked ballot to the
magazine. Sampling error was there and the cost of survey was huge. One of the most common occurred in the
case of the Literary Digest poll. The Literary Digest's method for choosing its sample was as follows: Based on
every telephone directory in the United States, lists of magazine subscribers, rosters of clubs and associations,
and other sources, a mailing list of about 10 million names was created.
Classify each of the following sampling plans as: SRS, systematic sampling, stratified sampling, or
voluntary response. Explain the reason for your choice.
(a) A hospital samples from a list of discharged patients by dividing the patients according to their medical
diagnosis. From each of these categories, an SRS is formed.
3.
Answer:
This is stratified sampling. This is because the patient here has stratified according to the diagnosis records. The
patients from different groups are unlikely from one-another and those patients who are in the same gropus is
considered analogous.
(b) A hospital samples from a list of discharged patients by numbering the patients on the list and using a
random number generator to obtain the sample.
Answer:
This is a simple random sampling. This is because, there is no certain approach that been applied in selecting
the p...
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