Answered: A telephone poll of 1,000 adult…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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Question

A telephone poll of 1,000 adult Americans was reported in an issue of a news magazine. One of the questions in the poll was "How much are you worried about the quality of education in schools?" Of those that responded, 63% responded "a lot." You are interested in the population proportion of adult Americans who are worried a lot about the quality of education in schools. Construct a 95% confidence interval for the population proportion of adult Americans who are worried a lot about the quality of education in schools.

Calculate the error bound.
State the confidence interval.
Sketch the normal distribution graph. Label the graph with the point estimate, lower and upper bounds, CL, and a/2.

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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