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程序代写案例-6A

时间：2021-04-30

Math 136 Introduction to Statistics Name:

Quiz 6A Proportions ID Num:

Sampling Parameters Some Formulas may be useful:

µx¯ = µ µpˆ = p

σx¯ =

σ√

n

σpˆ =

√

p(1− p)

n

Sketch and shade relevant parts to find probabilities for FULL CREDIT.

1. (6 points) An estimate in 2020 found that roughly 20% of Americans were hesitant about the

COVID-19 vaccines.

Suppose we take a sample of 90 individuals.

(a) Describe the sampling distribution of the proportion of Americans who are hesitant about

the COVID-19 vaccines.

(b) Sketch and shade the relevant region to find the probability that the sample proportion will

be more than 0.28.

(c) What could you say if you take a sample and obtain a sample proportion larger than 0.28?

Please go on to the next page. . .

2. (8 points) A Gallup poll found that 493 of 1050 adult Americans believe it is the responsibility of

the federal government to make sure that all Americans have healthcare coverage.

(a) Based on the results of this survey, obtain a point estimate for the proportion of adult

Americans who believe it is the responsibility of the federal government to make sure all

Americans have healthcare coverage.

(b) Suppose we want to use our sample data to obtain a confidence interval. What conditions do

you check are satisfied before proceeding? Does our sample data show that we can obtain a

confidence interval?

(c) Answer the following parts when constructing a 90% confidence interval for the proportion of

adult Americans who believe it is the responsibility of the federal government to make sure

all Americans have helathcare coverage.

Statcrunch Command Used:

Interval:

Interpretation:

(d) During the last voting cycle, it was found that 43% of adult Americans believed it is the

responsibility of the federal government to make sure that all Americans have healthcare

coverage. Is there evidence to say that the percentage has changed now? Explain.

End of Quiz

学霸联盟

Quiz 6A Proportions ID Num:

Sampling Parameters Some Formulas may be useful:

µx¯ = µ µpˆ = p

σx¯ =

σ√

n

σpˆ =

√

p(1− p)

n

Sketch and shade relevant parts to find probabilities for FULL CREDIT.

1. (6 points) An estimate in 2020 found that roughly 20% of Americans were hesitant about the

COVID-19 vaccines.

Suppose we take a sample of 90 individuals.

(a) Describe the sampling distribution of the proportion of Americans who are hesitant about

the COVID-19 vaccines.

(b) Sketch and shade the relevant region to find the probability that the sample proportion will

be more than 0.28.

(c) What could you say if you take a sample and obtain a sample proportion larger than 0.28?

Please go on to the next page. . .

2. (8 points) A Gallup poll found that 493 of 1050 adult Americans believe it is the responsibility of

the federal government to make sure that all Americans have healthcare coverage.

(a) Based on the results of this survey, obtain a point estimate for the proportion of adult

Americans who believe it is the responsibility of the federal government to make sure all

Americans have healthcare coverage.

(b) Suppose we want to use our sample data to obtain a confidence interval. What conditions do

you check are satisfied before proceeding? Does our sample data show that we can obtain a

confidence interval?

(c) Answer the following parts when constructing a 90% confidence interval for the proportion of

adult Americans who believe it is the responsibility of the federal government to make sure

all Americans have helathcare coverage.

Statcrunch Command Used:

Interval:

Interpretation:

(d) During the last voting cycle, it was found that 43% of adult Americans believed it is the

responsibility of the federal government to make sure that all Americans have healthcare

coverage. Is there evidence to say that the percentage has changed now? Explain.

End of Quiz

学霸联盟