Question
In: Statistics and Probability
3. In a March 2020 Gallup Poll survey, 306 respondents either identified with or “leaned” toward...
3. In a March 2020 Gallup Poll survey, 306 respondents either identified with or “leaned” toward the Republican Party. Among these Republicans, 92.8% approved of President Trump’s response to the coronavirus. In contrast, among the 302 respondents who either identified with or “leaned” toward the Democratic Party, only 29.5% approved of President Trump’s coronavirus response. Use these survey results to answer the questions below.
a) President Trump has claimed repeatedly that 95% of Republicans approve the job he is doing. Test the null hypothesis that 95% or more of Republicans approve of President Trump’s coronavirus response. Can you reject this null hypothesis at the 5% significance level? What about at the 1% significance level? [14 points]
b) Construct a 2-sided 95% confidence interval for the proportion of Republicans who approve of President Trump’s handling of the coronavirus situation. [12 points]
c) Test the null hypothesis that the proportion of Republicans who approve of President Trump’s handling of the coronavirus crisis is no greater than the proportion of Democrats who approve of President Trump’s handling of the crisis. Can you reject this null hypothesis at the 1% significance level? What about at the 0.1% significance level? [8 points]
Solutions
orchestra answered 2 years agoRelated Solutions
In a March 26-28, 2010 Gallup poll, 473 respondents (out of 1033) approved of they way...
In a March 26-28, 2010 Gallup poll, 473 respondents (out of
1033) approved of they way President Obama handled the health care
debate (regardless of their opinions on health care policy).
a) What is your point estimate for this proportion?
b) Construct a 95% confidence interval for this opinion. did a
significant majority disapprove of how he handled the debate?
In a poll conducted by the General Social Survey, 79% of respondents said that their jobs...
In a poll conducted by the General Social Survey, 79% of
respondents said that their jobs were sometimes or always
stressful. Two hundred workers are chosen at random. Use the TI-84
Plus calculator as needed. Round your answer to at least four
decimal places.
(a) Approximate the probability that 165 or fewer workers find
their jobs stressful.
(b) Approximate the probability that more than 158 workers find
their jobs stressful.
(c) Approximate the probability that the number of workers who...
A 2015 Gallup survey asked respondents to consider several different foods and beverages and to indicate...
A
2015 Gallup survey asked respondents to consider several different
foods and beverages and to indicate whether these were things that
they actively tried to include in their diet, actively tried to
avoid in their diet, or didn’t think about at all. Of the 1009
adults surveyed, 616 indicated that they actively tried to avoid
drinking regular soda or pop. Assume that the sample was an SRS.
A) Based on the sample, the large-sample 90% confidence
interval for the proportion...
A 2015 Gallup survey asked respondents to consider several different foods and beverages and to indicate...
A
2015 Gallup survey asked respondents to consider several different
foods and beverages and to indicate whether these were things that
they actively tried to include in their diet, actively tried to
avoid in their diet, or didn’t think about at all. Of the 1009
adults surveyed, 616 indicated that they actively tried to avoid
drinking regular soda or pop. Assume that the sample was an SRS.
A) Based on the sample, the large-sample 90% confidence
interval for the proportion...
Some years, the Gallup Poll asks respondents how much confidence they have in various American institutions....
Some years, the Gallup Poll asks respondents how much confidence
they have in various American institutions. You may assume the
results are based on a simple random sample of 1000 persons each
year; the samples are independent from year to year.
a) In 2005, only 41% of the respondents had “a great deal or
quite a lot” of confidence in the Supreme Court, compared to 50% in
2000. Is the difference real?
b) In 2005, only 22% of the respondents...
In May 2004, a Gallup Poll of adults’ attitudes toward Health Maintenance Organization (HMOs) found that...
In May 2004, a Gallup Poll of adults’ attitudes toward
Health Maintenance Organization (HMOs) found that 41% of adults had
little or no confidence in HMOs, 38% had some confidence, 17% had a
great deal or quite a lot of confidence, and 4% had no opinion (USA
TODAY, June 22, 2004). Let us denote these outcomes as L, S, G, and
N, respectively. A recent random sample of 500 adults yielded the
frequency distribution given in the following table.
Response...
A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 387 women...
A Gallup poll to survey the top concerns of Americans was
conducted. Suppose that 387 women and 359 men were independently
and randomly selected, and that 242 women and 202 men chose the
state of the economy as their biggest concern. Can we conclude that
the proportion of women (p1), choosing the state of the economy as
their biggest concern, exceeds the proportion of men
(p2)? Use a significance level of α=0.01 for the
test.
Step 1: Choose the correct alternative...
1. In May 2004, a Gallup Poll of adults’ attitudes toward Health Maintenance Organizations (HMOs) found...
1. In May 2004, a Gallup Poll of adults’ attitudes toward Health
Maintenance Organizations (HMOs) found that 40% of adults had
little or no confidence in HMOs, 39% had some confidence, 18% had a
great deal of confidence, and 3% had no opinion (USA Today, June
22, 2004). The letters L, S, G, and N will be used to denote these
percentages. A recent random sample of 500 adults gave the
following distribution of responses.
L S
...
The Gallup survey company conducted a poll in May 2011. Researchers asked a random sample of...
The
Gallup survey company conducted a poll in May 2011. Researchers
asked a random sample of about 1000 U.S. adults the following
question: “From what you know or have read about raising the debt
ceiling, would you want your member of Congress to vote in favor
of, that is, for raising the debt ceiling, to vote against raising
the debt ceiling, or do you not know enough about this issue to
say?” Forty-eight percent of the adults who responded said...
The Gallup survey company conducted a poll in May 2011. Researchers asked a random sample of...
The Gallup survey company conducted a poll in May 2011.
Researchers asked a random sample of about 1000 U.S. adults the
following question: “From what you know or have read about raising
the debt ceiling, would you want your member of Congress to vote in
favor of, that is, for raising the debt ceiling, to vote against
raising the debt ceiling, or do you not know enough about this
issue to say?” Forty-eight percent of the adults who responded said...
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