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If this survey were done by telephone, list three difiiculties the companies might have obtaining random results Indivduals may not tell the truth about buckling ~u...

Question

If this survey were done by telephone, list three difiiculties the companies might have obtaining random results Indivduals may not tell the truth about buckling ~up- Only people over the age of 24 would Incideo Ihe sunvey:Individuals may chooseoanicipalenol parlicipale Ihe phone sunveyThe Individuals the samplo may not accuratoly rolloct tho population:Children who do not answer the phone will not be Included.

If this survey were done by telephone, list three difiiculties the companies might have obtaining random results Indivduals may not tell the truth about buckling ~up- Only people over the age of 24 would Incideo Ihe sunvey: Individuals may choose oanicipale nol parlicipale Ihe phone sunvey The Individuals the samplo may not accuratoly rolloct tho population: Children who do not answer the phone will not be Included.



Answers

Phone surveys Anytime we conduct a survey, we must take care to avoid undercoverage. Suppose we plan to select 500 names from the city phone book, call their homes between noon and 4 pm, and interview whoever answers, anticipating contacts with at least 200 people.
a) Why is it difficult to use a simple random sample here?
b) Describe a more convenient, but still random, sampling strategy.
c) What kinds of households are likely to be included in the eventual sample of opinion? Excluded?
d) Suppose, instead, that we continue calling each number, perhaps in the morning or evening, until an adult is contacted and interviewed. How does this improve the sampling design?
e) Random-digit dialing machines can generate the phone calls for us. How would this improve our design? Is anyone still excluded?

Okay, so for part A, we need exactly 18 refusals. Yes, this could be 20. Choose 18. And the probability of refusal is 80%. 0.80 to the 18th power time. 0.2 squared because the first need 20. Choose 18. That's got 190 playing that in to get our exactly 18. Just but that all that in the calculator. So it's 1 90 time, 0.8 to the 18th power. I'm zero point to you. How about getting exactly 18 refusals is 13 point 69% of the time? Okay for B, exactly. 19 refused. That's gonna be 20 cheese 19 which is just 20 time, 0.8 to the 19th power times 0.2, But then in we have 20 times 0.8 to the 19 times 0.2. Exactly. 19 is gonna give us five point 76%. Okay, uh, to get the at least 18 refused, then we also need the 20 out of 20. So 20 choose 20. There's just one way to do that s so we're gonna need to add ended 0.8 zero just to the 20th power is 1.15%. So for the at least 18 to refuse, um, reset to add the three. So there's one plane one time. That's 5.76 plus 13.6. So approximately 20 0.6% of the time, we'll have at least 18 people refused. Okay, Part D, None agreed to be pulled. Well, that's just that very last one. That's gonna be 1 21 5% at the time. Nobody will agree to be pulled. Thank you very much.

Question number content the urban company to this survey. Some daughter 1500 telephone ingest. So voted. Do this is certain Hunter hardly said a word. How many of them using this data services from the table. So they found there. So two thirds number three off them. We just Dr. So you have to find out how many were just using the one daughter. So don't do that. Or do multiple total number of which is on defects. Enough. Huge is between the doctor. So what is 1500 one different to buy? Three starters, 3000 biting. That is 1000. We just So the answer is 1000 you just use for not, but it does.

1500 cell phone users. And I'm messing with this fraction Two thirds. I'm gonna figure out two thirds of 1500 so I'm gonna I'm figuring out what operation I'm using. Am I gonna add two thirds to 1500? Subtract, multiply or divide? Well, the key is the wording. Here, I want to find two thirds of 1500. The word of is associated with multiplication. So I'm going to do 1500 times two or three before I multiply the numerator and denominators. I can divide what's common in the numerator and denominator. Aiken, Divide by three. This'll be 500. Then I could just multiply what I have left. 1000 over one. Or there's 1000 teenagers that use cell phone data.

Question 31 says, Ask your pay of drivers being but Randall Example. Ing all listed residential telephone numbers in the United States out the 45,956 calls to these numbers 529 were completed. The coolest river was to estimate how far people drive an average per day. So what is the rate of non response for the sample? It's gonna be, um, d number who were didn't respond, which is 5029 divided by on 4th 45,156 You gotta subtract that toe one in order to get that opposite number, which is the number of uncompleted. So this gives you completed. We want uncompleted. So that's 89.6% did not respond. And so how can this rate of non responsibly device and s day So what studies looking for us? Estimate how far people are driving on an average per day. So you think if someone is not at home, maybe they're driving. Maybe they're traveling with a longer distance, and therefore people who are traveling long distances, they're not being kept in the survey and said people who are more likely to stay close to home, likely to answer the residential telephone number instead of a cell phone, so it will be an underestimation off how far people drive.


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