Answered: 25. A recent survey found that 82% of… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 27T

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Question number 25

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2305- Business Statis X
Exercises 7.3
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23. A rangOM sampie OT SiZe n= 200 Is taken trom a population with a population proportion p= 0.75.
a. Calculate the expected value and the standard error for the sampling distribution of the sample proportion.
b. What is the probability that the sample proportion is between 0.70 and 0.80?
c. What is the probability that the sample proportion is less than 0.70?
Applications
24. According to new research, 26% of Americans are (almost) always online (bigthink.com, March 20, 2018).
a. What is the probability that fewer than 60 of 200 Americans are always online?
b. What is the probability that more than 150 of 200 Americans are not always online?
25. A recent survey found that 82% of college graduates believe their degree was a good investment (cnbc.com, February 27,
2020). Suppose a random sample of 100 college graduates is taken.
a. What is the expected value and the standard error for the sampling distribution of the sample proportion?
b. What is the probability that the sample proportion is less than 0.80?
c. What is the probability that the sample proportion is within ± 0.02 of the population proportion?
26. One-fifth of Britains are not using the internet (bbc.com, September 9, 2019).
a. What is the expected value and the standard error for the sampling distribution of the sample proportion based on a
sample of 200 Britains. Is it appropriate to use the normal distribution approximation for the sample proportion? Explain.
b. What is the probability that more than 25% of Britains in the sample are not using the internet?
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