The City of South Lake Tahoe, CA, has an Asian population of 1,419 people, out of a total population of 23,609. Suppose that a survey of 1,419 self-reported Asians in the Manhattan, NY, area yielded the data in the table below. Conduct a goodness-of-fit test to determine if the self-reported sub-groups of Asians in the Manhattan area fit that of the Lake Tahoe area.
The City of South Lake Tahoe, CA, has an Asian population of 1,419 people, out of a total population of 23,609. Suppose that a survey of 1,419 self-reported Asians in the Manhattan, NY, area yielded the data in the table below. Conduct a goodness-of-fit test to determine if the self-reported sub-groups of Asians in the Manhattan area fit that of the Lake Tahoe area.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
ChapterCSR: Contents Of Student Resources
Section: Chapter Questions
Problem 11.1EP
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Question
- The City of South Lake Tahoe, CA, has an Asian population of 1,419 people, out of a total population of 23,609. Suppose that a survey of 1,419 self-reported Asians in the Manhattan, NY, area yielded the data in the table below. Conduct a goodness-of-fit test to determine if the self-reported sub-groups of Asians in the Manhattan area fit that of the Lake Tahoe area.
Race |
Lake Tahoe Frequency |
Manhattan Frequency |
---|---|---|
Asian Indian |
131 |
174 |
Chinese |
118 |
557 |
Filipino |
1045 |
518 |
Japanese |
80 |
54 |
Korean |
12 |
29 |
Vietnamese |
9 |
21 |
Other |
24 |
66 |
- H0 : _______
- Ha : _______
- What are the degrees of freedom?
- State the distribution to use for the test.
- What is the test statistic?
- What is the p-value? In one to two complete sentences, explain what the p-value means for this problem.
- Use the previous information to sketch a picture of this situation. Clearly label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
- Indicate the correct decision (“reject” or “do not reject” the null hypothesis) and write appropriate conclusions, using complete sentences.
- Alpha: _______
- Decision: _______
- Reason for decision: _______
- Conclusion: _______
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State the distribution to use for the test.
What is the test statistic?
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