Question 2 In 2007 the US Census Bureau reported that 71.3% of American families owned their homes. The city council is debating on whether to offer tax breaks to first-time homebuyers, but they only want to do so if there is strong evidence that the rate of homeownership has increased since 2007 since it will cost the city money to do so. a) What are the null and alternative hypothesis? Null hypothesis: The rate of homeownership is the same since 2007. Proportion=0.713 b) Describe a Type I error in context along with the consequence. Type I error is that the rate of homeownership is not 0.713 when it is actually 0.713 c) Describe a Type II error in context along with the consequence. Type Il error is that the rate of homeownership is 0.713 when it is actually greater than 0.713 d) Which is a more serious error in this context? Justify your answer e) For each type of error, tell who would be harmed.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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Question 2
In 2007 the US Census Bureau reported that 71.3% of American families owned their
homes. The city council is debating on whether to offer tax breaks to first-time
homebuyers, but they only want to do so if there is strong evidence that the rate of
homeownership has increased since 2007 since it will cost the city money to do so.
a) What are the null and alternative hypothesis?
Null hypothesis: The rate of homeownership is the same since 2007.
Proportion=D0.713
b) Describe a Type I error in context along with the consequence.
Type I error is that the rate of homeownership is not 0.713 when it is actually
0.713
c) Describe a Type Il error in context along with the consequence.
Type Il error is that the rate of homeownership is 0.713 when it is actually
greater than 0.713
d) Which is a more serious error in this context? Justify your answer
e) For each type of error, tell who would be harmed.
Transcribed Image Text:Question 2 In 2007 the US Census Bureau reported that 71.3% of American families owned their homes. The city council is debating on whether to offer tax breaks to first-time homebuyers, but they only want to do so if there is strong evidence that the rate of homeownership has increased since 2007 since it will cost the city money to do so. a) What are the null and alternative hypothesis? Null hypothesis: The rate of homeownership is the same since 2007. Proportion=D0.713 b) Describe a Type I error in context along with the consequence. Type I error is that the rate of homeownership is not 0.713 when it is actually 0.713 c) Describe a Type Il error in context along with the consequence. Type Il error is that the rate of homeownership is 0.713 when it is actually greater than 0.713 d) Which is a more serious error in this context? Justify your answer e) For each type of error, tell who would be harmed.
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