4. The 2010 Census showed that 31% of King Country residents lived within Seattle city limits. Seattle city officials wondered if the proportion of county residents currently living in Seattle is higher than the 2010 level. a. Define your parameter, and write the null hypothesis, alternative hypothesis for hypothesis testing. b. Show that the necessary conditions (Randomization Condition, 10% Condition, Success/Failure Condition) are satisfied if they randomly select a sample of 1000 King County residents. Briefly explain how each condition is satisfied. c. Suppose that out of a recent sample of 1000 King County residents, 345 lived in Seattle city limits. Perform the hypothesis test and compute the P-value. (To show your work: Write down which calculator/program you are using and what values you are entering into the calculator.) d. Does this provide strong evidence that the proportion of King County residents living in Seattle has increased from the 2010 level? Briefly explain.
4. The 2010 Census showed that 31% of King Country residents lived within Seattle city limits. Seattle city officials wondered if the proportion of county residents currently living in Seattle is higher than the 2010 level. a. Define your parameter, and write the null hypothesis, alternative hypothesis for hypothesis testing. b. Show that the necessary conditions (Randomization Condition, 10% Condition, Success/Failure Condition) are satisfied if they randomly select a sample of 1000 King County residents. Briefly explain how each condition is satisfied. c. Suppose that out of a recent sample of 1000 King County residents, 345 lived in Seattle city limits. Perform the hypothesis test and compute the P-value. (To show your work: Write down which calculator/program you are using and what values you are entering into the calculator.) d. Does this provide strong evidence that the proportion of King County residents living in Seattle has increased from the 2010 level? Briefly explain.
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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Answer D
Transcribed Image Text:4. The 2010 Census showed that 31% of King Country residents lived within Seattle city
limits. Seattle city officials wondered if the proportion of county residents currently
living in Seattle is higher than the 2010 level.
a. Define your parameter, and write the null hypothesis, alternative hypothesis for
hypothesis testing.
b. Show that the necessary conditions (Randomization Condition, 10% Condition,
Success/Failure Condition) are satisfied if they randomly select a sample of 1000
King County residents. Briefly explain how each condition is satisfied.
c. Suppose that out of a recent sample of 1000 King County residents, 345 lived in
Seattle city limits. Perform the hypothesis test and compute the P-value.
(To show your work: Write down which calculator/program you are using and
what values you are entering into the calculator.)
d. Does this provide strong evidence that the proportion of King County residents
living in Seattle has increased from the 2010 level? Briefly explain.
Expert Solution
Step 1
Part (d):
The hypotheses are;
H0: p = 0.31
Ha: p > 0.31
This is an upper tailed test.
The value of x is 345 and the sample size is 1000.
Consider the level of significance be 0.05.
Step 2
Excel is used to perform the required analysis. Steps are as;
1. Go to Add-ins>PHStat>One-Sample tests>Z test for the proportion.
2. Enter the values as shown;
3. Click ok. The result is obtained as;
Step by step
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