According to a recent survey of 1700 people, 61% feel that the president is doing an acceptable job. We are interested in the population proportion of people who feel the president is doing an acceptable job.NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (c)Construct a 90% confidence interval for the population proportion of people who feel the president is doing an acceptable job.(i) State the confidence interval. (Round your answers to four decimal places.)(ii) Sketch the graph.aC.L. =2P'(iii) Calculate the error bound. (Round your answer to four decimal places.) O Part (a)In words, define the random variables X and P'.O Xis the number of people who feel the president is not doing an acceptable job, and P' is the proportion of people in the sample who feel the president is not doing an acceptable job.O Xis the proportion of people in the sample who feel the president is doing an acceptable job, and P' is the number of people who feel the president is doing an acceptable job.O Xis the proportion of people in the sample who feel the president is not doing an acceptable job, and P'is the number of people who feel the presidentnot doing an acceptable job.O Xis the number of people who feel the president is doing an acceptable job, and P'is the proportion of people in the sample who feel the president is doing an acceptable job.O Part (b)Which distribution should you use for this problem? (Round your answers to four decimal places.)P'- NExplain your choice.O The standard normal distribution should be used because we are interested in proportions and the sample size is large.The binomial distribution should be used because the two outcomes are "the president is doing a good job" and "the president is not doing a good job."O The standard normal distribution should be used because V npq 2 10, which implies a large sample.The Student's t-distribution should be used because we do not know the standard deviation.

Given Information: Sample size (n) = 1700 Sample proportion p^=61% = 0.61 (a) The random variable X…

Answered: According to a recent survey of 1700…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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According to a recent survey of 1700 people, 61% feel that the president is doing an acceptable job. We are interested in the population proportion of people who feel the president is doing an acceptable job.

NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

O Part (c)
Construct a 90% confidence interval for the population proportion of people who feel the president is doing an acceptable job.
(i) State the confidence interval. (Round your answers to four decimal places.)
(ii) Sketch the graph.
a
C.L. =
2
P'
(iii) Calculate the error bound. (Round your answer to four decimal places.)

O Part (a)
In words, define the random variables X and P'.
O Xis the number of people who feel the president is not doing an acceptable job, and P' is the proportion of people in the sample who feel the president is not doing an acceptable job.
O Xis the proportion of people in the sample who feel the president is doing an acceptable job, and P' is the number of people who feel the president is doing an acceptable job.
O Xis the proportion of people in the sample who feel the president is not doing an acceptable job, and P'is the number of people who feel the president
not doing an acceptable job.
O Xis the number of people who feel the president is doing an acceptable job, and P'is the proportion of people in the sample who feel the president is doing an acceptable job.
O Part (b)
Which distribution should you use for this problem? (Round your answers to four decimal places.)
P'- N
Explain your choice.
O The standard normal distribution should be used because we are interested in proportions and the sample size is large.
The binomial distribution should be used because the two outcomes are "the president is doing a good job" and "the president is not doing a good job."
O The standard normal distribution should be used because V npq 2 10, which implies a large sample.
The Student's t-distribution should be used because we do not know the standard deviation.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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