MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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need part A B and C

A researcher wishes to estimate, with 90% confidence, the population proportion of adults who think Congress is doing a good or excellent job. Her estimate must be accurate within 2% of the true proportion.

(a) No preliminary estimate is available. Find the minimum sample size needed.

(b) Find the minimum sample size needed, using a prior study that found that 26% of the respondents said they think Congress is doing a good or excellent job.

(c) Compare the results from parts (a) and (b).

(a) What is the minimum sample size needed assuming that no prior information is available?

\[ n = \] (Round up to the nearest whole number as needed.)
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Transcribed Image Text:A researcher wishes to estimate, with 90% confidence, the population proportion of adults who think Congress is doing a good or excellent job. Her estimate must be accurate within 2% of the true proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that 26% of the respondents said they think Congress is doing a good or excellent job. (c) Compare the results from parts (a) and (b). (a) What is the minimum sample size needed assuming that no prior information is available? \[ n = \] (Round up to the nearest whole number as needed.)
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Step 1

Solution:

a.

From the given information, confidence level is 0.90 and E=0.02.

Statistics homework question answer, step 1, image 1

Step 2

Since the proportion is not given 0.5 should be taken.

Then,

Statistics homework question answer, step 2, image 1

Thus, n=1691.

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