Homework Help is Here – Start Your Trial Now!
Math
Statistics
According to a recent survey of 1400 people, 65% 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.) Please label each part

According to a recent survey of 1400 people, 65% 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.) Please label each part

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3BGP
See similar textbooks
icon
Related questions
Question

According to a recent survey of 1400 people, 65% 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.)

Please label each part

Part (b) Which distribution should you use for this problem? (Round your answers to four decimal places.) P'- Explain your choice. 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." The Student's t-distribution should be used because we do not know the standard deviation. The standard normal distribution should be used because we are interested in proportions and the sample size is large. The standard normal distribution should be used because npq 2 10, which implies a large sample. Correct! We use the standard normal distribution to create confidence intervals about the population proportion. 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. C.L. = 2 2 P' (iii) Calculate the error bound. (Round your answer to four decimal places.) II
Transcribed Image Text:Part (b) Which distribution should you use for this problem? (Round your answers to four decimal places.) P'- Explain your choice. 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." The Student's t-distribution should be used because we do not know the standard deviation. The standard normal distribution should be used because we are interested in proportions and the sample size is large. The standard normal distribution should be used because npq 2 10, which implies a large sample. Correct! We use the standard normal distribution to create confidence intervals about the population proportion. 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. C.L. = 2 2 P' (iii) Calculate the error bound. (Round your answer to four decimal places.) II
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS