A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.03 with 95% confidence if (a) she uses a previous estimate of 0.54? (b) she does not use any prior estimates?
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.03 with 95% confidence if (a) she uses a previous estimate of 0.54? (b) she does not use any prior estimates?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within
0.03
with
95%
confidence if(a) she uses a previous estimate of
0.54?
(b) she does not use any prior estimates?
Question content area bottom
Part 1
(a)
n=enter your response here
(Round up to the nearest integer.)
Transcribed Image Text:### Table of Critical Values
This table provides critical values for various confidence levels, which are important for statistical analysis, particularly in hypothesis testing.
#### Columns:
1. **Level of Confidence (1 - α): 100%**
- Represents the confidence level for a statistical test.
2. **Area in Each Tail, α/2**
- Indicates the probability of observing the test statistic in each tail of the distribution.
3. **Critical Value, Zᵦ**
- The cutoff value that defines the regions where the null hypothesis is either rejected or not rejected.
#### Data:
- **99% Confidence Level**:
- Area in Each Tail: 0.005
- Critical Value: 2.575
- **95% Confidence Level**:
- Area in Each Tail: 0.025
- Critical Value: 1.96
- **90% Confidence Level**:
- Area in Each Tail: 0.05
- Critical Value: 1.645
These critical values are used to determine the threshold for significance in hypothesis testing. For example, in a 95% confidence level test, the critical value is 1.96, meaning you would reject the null hypothesis if your test statistic exceeds this value.
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