Suppose a study conducted on where people turn for news was based on 400 respondents. Of the 400 respondents, 199 got their news primarily from newspapers. (a) Calculate the point estimate and standard error of the proportion of people who get their news primarily from newspapers. (b) Is there evidence that the proportion of people who get their news primarily from newspapers is 0.5 or more? (use ? = 0.01) and what is the p-value? (c) Construct a 99% confidence interval estimate of the true population proportion of respondents who get their news primarily from newspapers.

Suppose a study conducted on where people turn for news was based on 400 respondents. Of the 400 respondents, 199 got their news primarily from newspapers. (a) Calculate the point estimate and standard error of the proportion of people who get their news primarily from newspapers. (b) Is there evidence that the proportion of people who get their news primarily from newspapers is 0.5 or more? (use ? = 0.01) and what is the p-value? (c) Construct a 99% confidence interval estimate of the true population proportion of respondents who get their news primarily from newspapers.

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

Suppose a study conducted on where people turn for news was based on 400 respondents. Of the 400 respondents, 199 got their news primarily from newspapers.

(a) Calculate the point estimate and standard error of the proportion of people who get their news primarily from newspapers.

(b) Is there evidence that the proportion of people who get their news primarily from newspapers is 0.5 or more? (use ? = 0.01) and what is the p-value?

(c) Construct a 99% confidence interval estimate of the true population proportion of respondents who get their news primarily from newspapers.

Definition Definition Method in statistics by which an observation’s uncertainty can be quantified. The main use of interval estimating is for describing a range that is made by transforming a point estimate by determining the range of values, or interval within which the population parameter is likely to fall. This range helps in measuring its precision.

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