Members of the homeowners' association (HOA) want to know whether more than 45% of homeowners from a local residential community supports a 2% annual increase in HOA fees for five years to fund the resurfacing of the community swimming pool. The HOA surveys a random sample of 50 homeowners and use the results to test the hypotheses H0: p = 0.45 and Ha: p > 0.45, where p is the proportion of all homeowners who support a 2% annual increase in HOA fees for five years to fund the pool resurfacing. In the context of this study, how could a Type I error occur?
Members of the homeowners' association (HOA) want to know whether more than 45% of homeowners from a local residential community supports a 2% annual increase in HOA fees for five years to fund the resurfacing of the community swimming pool. The HOA surveys a random sample of 50 homeowners and use the results to test the hypotheses H0: p = 0.45 and Ha: p > 0.45, where p is the proportion of all homeowners who support a 2% annual increase in HOA fees for five years to fund the pool resurfacing. In the context of this study, how could a Type I error occur?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
Members of the homeowners' association (HOA) want to know whether more than 45% of homeowners from a local residential community supports a 2% annual increase in HOA fees for five years to fund the resurfacing of the community swimming pool. The HOA surveys a random sample of 50 homeowners and use the results to test the hypotheses H0: p = 0.45 and Ha: p > 0.45, where p is the proportion of all homeowners who support a 2% annual increase in HOA fees for five years to fund the pool resurfacing. In the context of this study, how could a Type I error occur?
Group of answer choices
The HOA finds evidence that more than 45% of homeowners do not support the fee increase, when there isn't convincing evidence that more than 45% supports the increase.
The HOA finds evidence that more than 45% of homeowners support the fee increase, when at most, 45% of the homeowners support the increase.
The HOA finds evidence that more than 45% of homeowners support the fee increase, when more than 45% of the homeowners do support the increase.
The HOA does not find evidence that more than 45% of homeowners support the fee increase, when more than 45% of the homeowners do support the increase.
The HOA does not find evidence that more than 45% of homeowners support the fee increase, when at most, 45% of the homeowners do support the increase.
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