own their homes. Based on these simulated results, what is the approximate p-value of the test? Note: The sample result was p = 70%. Choose 1 answer: p-value 0.05 p-value 0.08 B. p-value 0.14 p-value 0.21

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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 3SE: Answer the following questions. 3. When given two separate events, how do we know whether to apply...
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An economist read a report that claimed that 60% of residents in her large city owned their homes. She
wondered if that figure was still accurate, so she took a random sample of n = 50 residents in the city and
observed that p = 70% of those sampled owned their homes.
To see how likely a sample like this was to happen by random chance alone, the economist performed a
simulation. She simulated 100 samples of n =
50 residents from a large population where 60% of the residents
owned their homes. She recorded the proportion of residents who owned their homes in each sample. Here are
the sample proportions from her 100 samples:
0.40
0.50
0.60
0.70
0.80
Check again
Transcribed Image Text:An economist read a report that claimed that 60% of residents in her large city owned their homes. She wondered if that figure was still accurate, so she took a random sample of n = 50 residents in the city and observed that p = 70% of those sampled owned their homes. To see how likely a sample like this was to happen by random chance alone, the economist performed a simulation. She simulated 100 samples of n = 50 residents from a large population where 60% of the residents owned their homes. She recorded the proportion of residents who owned their homes in each sample. Here are the sample proportions from her 100 samples: 0.40 0.50 0.60 0.70 0.80 Check again
She wants to test Ho : p = 60% vs. Ha :p+ 60% where p is the true proportion of residents in this city that
own their homes.
Based on these simulated results, what is the approximate p-value of the test?
Note: The sample result was p = 70%.
Choose 1 answer:
A
p-value 0.05
B
p-value 0.08
C.
p-value 0.14
p-value 0.21
D.
Transcribed Image Text:She wants to test Ho : p = 60% vs. Ha :p+ 60% where p is the true proportion of residents in this city that own their homes. Based on these simulated results, what is the approximate p-value of the test? Note: The sample result was p = 70%. Choose 1 answer: A p-value 0.05 B p-value 0.08 C. p-value 0.14 p-value 0.21 D.
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