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homework assignment 2, statistics 220, Assignments of Statistics

homework assignment for statistics 220

Typology: Assignments

2019/2020

Uploaded on 01/31/2022

jeliyah-mohammadi
jeliyah-mohammadi 🇺🇸

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CH 4
1) Patients who visit a clinic to help them stop smoking are given a choice of two treatments:
undergoing hypnosis or applying nicotine patches. The percentages who quit smoking are
compared for the two methods. Is this study a survey, an experiment, an observational study, or a
case study? Explain your reasoning.
This study is an experiment because it measures the effect of manipulation, and in this
case it is the two treatments given to the patients. In experiments you measure the cause
and effect and that is what this study is measuring. You measure the result of the feature
being manipulated, which is the two treatments on the percentages who quit smoking.
11) The Sacramento Bee (11 Feb. 2001, p. A20) reported on a Newsweek poll that was based on
interviews with 1000 adults, asking questions about a variety of issues. a. What is the margin of
error for this poll? b. One of the statements in the news story was “a margin of error of plus or
minus three percentage points means that the 43 percent of Americans for and the 48 percent of
Americans against oil exploration in Alaska’s Arctic National Wildlife Refuge are in a statistical
dead heat.” Explain what is meant by this statement.
A. The margin of error for this poll is 3.16%.
B. This means that between 40 and 46% are the Americans in favor of oil exploration,
and for those against oil exploration are the Americans between 45 and 51%. Since it is
plus or minus three percentage points, you just add and subtract from 43 and 48.
23)What role does natural variability play when trying to determine the population average of a
measurement variable from a sample? (Hint: Read the section on stratified sampling.)
The accuracy of the measurements of a population all depends on the natural variability
of those measurements. The less variability there is, the more precise you can determine
the population average of the sample. With more variability however, it is more difficult
to determine the differences and average of a population.
32)Suppose that a gourmet food magazine wants to know how its readers feel about serving beer
with various types of food. The magazine sends surveys to 1000 randomly selected readers.
Explain which one of the “difficulties and disasters” in sampling the magazine is most likely to
face
One of the difficulties that the gourmet food magazine is most likely to face is having a
low response rate. Since this is a voluntary survey, it is possible that only those who have
a strong opinion on this are most likely to respond. Which leads the results to be less
likely generalized to the population as a whole.
CH 5
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CH 4

  1. Patients who visit a clinic to help them stop smoking are given a choice of two treatments: undergoing hypnosis or applying nicotine patches. The percentages who quit smoking are compared for the two methods. Is this study a survey, an experiment, an observational study, or a case study? Explain your reasoning. ● This study is an experiment because it measures the effect of manipulation, and in this case it is the two treatments given to the patients. In experiments you measure the cause and effect and that is what this study is measuring. You measure the result of the feature being manipulated, which is the two treatments on the percentages who quit smoking.
  2. The Sacramento Bee (11 Feb. 2001, p. A20) reported on a Newsweek poll that was based on interviews with 1000 adults, asking questions about a variety of issues. a. What is the margin of error for this poll? b. One of the statements in the news story was “a margin of error of plus or minus three percentage points means that the 43 percent of Americans for and the 48 percent of Americans against oil exploration in Alaska’s Arctic National Wildlife Refuge are in a statistical dead heat.” Explain what is meant by this statement. ● A. The margin of error for this poll is 3.16%. ● B. This means that between 40 and 46% are the Americans in favor of oil exploration, and for those against oil exploration are the Americans between 45 and 51%. Since it is plus or minus three percentage points, you just add and subtract from 43 and 48. 23)What role does natural variability play when trying to determine the population average of a measurement variable from a sample? (Hint: Read the section on stratified sampling.) ● The accuracy of the measurements of a population all depends on the natural variability of those measurements. The less variability there is, the more precise you can determine the population average of the sample. With more variability however, it is more difficult to determine the differences and average of a population. 32)Suppose that a gourmet food magazine wants to know how its readers feel about serving beer with various types of food. The magazine sends surveys to 1000 randomly selected readers. Explain which one of the “difficulties and disasters” in sampling the magazine is most likely to face ● One of the difficulties that the gourmet food magazine is most likely to face is having a low response rate. Since this is a voluntary survey, it is possible that only those who have a strong opinion on this are most likely to respond. Which leads the results to be less likely generalized to the population as a whole. CH 5
  1. To test the effects of drugs and alcohol use on driving performance, 20 volunteers were each asked to take a driving test under three conditions: sober, after two drinks, and after smoking marijuana. The order in which they drove the three conditions was randomized. An evaluator watched them drive on a test course and rated their accuracy on a scale from 1 to 10, without knowing which condition they were under each time. a. What was the explanatory variable in this experiment? b. What was the response variable in this experiment? c. Was this experiment single-blind, doubleblind, or neither? Explain. d. Did this experiment use matched pairs, blocks, or neither? Explain. ● A. The explanatory variable was the usage of the drugs and alcohol. ● B. The response variable was the score given by the evaluator ● C. This experiment was single-blind because only the evaluator was unaware of the condition the drivers were in. Obviously the driver knew which condition they were in, if it was smoking marijuana, having two drinks, or being sober. ● D. This experiment used blocks, because the drivers were blocked based on the three conditions. 7). Suppose an observational study finds that people who use public transportation to get to work have better knowledge of current affairs than those who drive to work, but that the relationship is weaker for well-educated people. What term from this chapter (for example, response variable) applies to each of the following variables? a. Method of getting to work b. Knowledge of current affairs c. Level of education d. Whether the participant reads a daily newspaper ● A. explanatory variable ● B. response variable ● C. interaction variable ● D. confounding variable 8). Researchers have found that women who take oral contraceptives (birth control pills) are at higher risk of having a heart attack or stroke than women who do not take them. They also found that the risk is substantially higher for both groups if a woman smokes. Assume that the proportions of women who smoke are similar in both groups. In investigating the relationship between taking oral contraceptives (the explanatory variable) and having a heart attack or stroke (the response variable), explain whether smoking would fit the definition of each of the following: a. A confounding variable. b. An effect modifier. c. An interacting variable. ● A. Smoking is not a confounding variable because it does not have the two properties needed to be a confounding variable. It affects the response variable, but it does not relate to the explanatory variable at all. ● B. Smoking is not an effect modifier because it doesn’t have a relationship between taking oral contraceptives (explanatory variable) and having a heart attack or stroke (response variable.)