Question
In: Statistics and Probability
USA Today reported that about 47% of the general consumer population in the United States is...
- USA Today reported that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose that Chevrolet did a study of a random sample of 1006 Chevrolet owners and found that 503 said that they would buy another Chevrolet.
- Check the assumptions for constructing a confidence interval
- Construct a 90% confidence interval
- Construct a 95% confidence interval
- Construct a 99% confidence interval
- What happened to the margin of error as the confidence increased?
- How else can we change the margin of error without changing or the confidence?
- Which confidence intervals above agree with the claim that about 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice? Explain why?
Solutions
Expert Solution
a. Since the number of sample is 1006 we have enough sample thus we can use large sample approximations for calculating confidence interval
Construct a 90% confidence interval
Construct a 95% confidence interval
Construct a 99% confidence interval
Construct a 99% confidence interval
Thus it can be observed that the margin of error is increasing with increase in the level of confidence.
Margin of error can be changed with change in sample size as well
It can be observed that at a 95% level of significance 47% proportion falls within the confidence interval.
orchestra answered 1 year agoRelated Solutions
USA Today reported that about 47% of the general consumer population in the United States is...
USA Today reported that about 47% of the general
consumer population in the United States is loyal to the automobile
manufacturer of their choice. Suppose Chevrolet did a study of a
random sample of 1009 Chevrolet owners and found that 482 said they
would buy another Chevrolet. Does this indicate that the population
proportion of consumers loyal to Chevrolet is more than 47%? Use
α = 0.01.
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State the null and alternate hypotheses....
USA Today reported that about 47% of the general consumer population in the United States is...
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is loyal to the automobile manufacturer of their choice. Suppose
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random sample of 1006 Chevrolet owners and found that 490 said they
would buy another
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USA Today reported that about 47% of the general consumer population in the United States is...
USA Today reported that about 47% of the general
consumer population in the United States is loyal to the automobile
manufacturer of their choice. Suppose Chevrolet did a study of a
random sample of 1009 Chevrolet owners and found that 483 said they
would buy another Chevrolet. Does this indicate that the population
proportion of consumers loyal to Chevrolet is more than 47%? Use
α = 0.01.(a) What is the level of significance?
State the null and alternate hypotheses.
H0:...
USA Today reported that about 47% of the general consumer population in the United States is...
USA Today reported that about 47% of the general
consumer population in the United States is loyal to the automobile
manufacturer of their choice. Suppose Chevrolet did a study of a
random sample of 1006 Chevrolet owners and found that 486 said they
would buy another Chevrolet. Does this indicate that the population
proportion of consumers loyal to Chevrolet is more than 47%? Use
α = 0.01.
(a) What is the level of significance?
State the null and alternate hypotheses....
. USA Today reported that about 47% of the general consumer population in the United States...
. USA Today reported that about 47% of the general consumer
population in the United States is loyal to the automobile
manufacturer of their choice. Suppose that Chevrolet did a study of
a random sample of 1006 Chevrolet owners and found that 490 stated
that they would buy another Chevrolet. Test the claim by Chevrolet
that the population proportion of consumers loyal to its product is
different from 47%. Use = 0.05. (a) State the hypotheses for this
test. (b)...
1. USA Today reported that about 47% of the general consumer population in the United States...
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