Use the following excerpt to answer the questions below. In the state of California, there is an average 7,500 individuals enrolled in Medicare Insurance per 10,000 eligible individuals with a known standard deviation of 1,000 enrollees per 10,000 eligible. This average was calculated from insurance data collected from all cities in California and appears to be normally distributed. You are interested in whether the average number of those enrolled in Medicare per 10,000 eligible in the Bay Area is greater than the state of California's average; they find that = 7,800 Medicare enrollees from a random sample of 100 eligible Bay Area individuals. State the null and alternative hypothesis using statistical notation. a. Ho: HA: b. Use the information above to decidethe appropriate test statistic and calculate the test statistic value by hand. Show your work. Test Statistic: Work: Value: Next, you want to calculate the power of the test. Write the two lines of code to calculate the power assuming alpha 0.05, assigning the first value to an object called critical val. C. Line 1: Line 2:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Answer all parts including part d

 

d. You calculate a power of 91.2%. Interpret this value in the context of the problem. Please complete all parts of problem

Question 2
Use the following excerpt to answer the questions below.
In the state of California, there is an average 7,500 individuals enrolled in Medicare Insurance
per 10,000 eligible individuals with a known standard deviation of 1,000 enrollees per 10,000
eligible. This average was calculated from insurance data collected from all cities in California
and appears to be normally distributed. You are interested in whether the average number
of those enrolled in Medicare per 10,000 eligible in the Bay Area is greater than the state of
California's average; they find that = 7,800 Medicare enrollees from a random sample of 100
eligible Bay Area individuals.
a.
State the null and alternative hypothesis using statistical notation.
Ho
HA
b.
value by hand. Show your work.
Use the information above to decidethe appropriate test statistic and calculate the test statistic
Test Statistic:
Work:
Value:
Next, you want to calculate the power of the test. Write the two lines of code to calculate the
power assuming alpha 0.05, assigning the first value to an object called critical val.
Line 1:
Line 2:
Transcribed Image Text:Question 2 Use the following excerpt to answer the questions below. In the state of California, there is an average 7,500 individuals enrolled in Medicare Insurance per 10,000 eligible individuals with a known standard deviation of 1,000 enrollees per 10,000 eligible. This average was calculated from insurance data collected from all cities in California and appears to be normally distributed. You are interested in whether the average number of those enrolled in Medicare per 10,000 eligible in the Bay Area is greater than the state of California's average; they find that = 7,800 Medicare enrollees from a random sample of 100 eligible Bay Area individuals. a. State the null and alternative hypothesis using statistical notation. Ho HA b. value by hand. Show your work. Use the information above to decidethe appropriate test statistic and calculate the test statistic Test Statistic: Work: Value: Next, you want to calculate the power of the test. Write the two lines of code to calculate the power assuming alpha 0.05, assigning the first value to an object called critical val. Line 1: Line 2:
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