In a survey of 2085 adults in a certain country conducted during a period of eco

Rivka Thorpe

Rivka Thorpe

Answered question

2021-09-23

In a survey of 2085 adults in a certain country conducted during a period of economic?
Uncertainty, 63% thought that wages paid to workers in industry were too low. The margin of error was 8 percentage points with 90% confidence.
For parts (1) through (4) below, which represent a reasonable interpretation of the survey results. For those that are not reasonable, explain the flaw.
1) We are 90% confident 63% of adults in the country during the period of economic uncertainty felt wages paid to workers in industry were too low.
A) The interpretation is reasonable.
B) The interpretation is flawed. The interpretation provides no interval about the population proportion.
C) The interpretation is flawed. The interpretation sugguests that this interbal sets the standard for all the other intervals, which is not true.
D) The interpretation is flawed. The interpretation indicates that the level of confidence is varying.
2) We are 82% to 98% confident 63% of adults in the country during the period of economic uncertainty felt wages paid to workers in industry were too low. Is the interpretation​ reasonable?
A) The interpretation is reasonable.
B) The interpretation is flawed. The interpretation provides no interval about the population proportion.
C) The interpretation is flawed. The interpretation sugguests that this interbal sets the standard for all the other intervals, which is not true.
D) The interpretation is flawed. The interpretation indicates that the level of confidence is varying.
3) We are 90% confident that the interval from 0.55 to 0.71 contains the true proportion of adults in the country during the period of economic uncertainty who believed wages paid to workers in industry were too low.
A) The interpretation is reasonable.
B) The interpretation is flawed. The interpretation provides no interval about the population proportion.
C) The interpretation is flawed. The interpretation sugguests that this interbal sets the standard for all the other intervals, which is not true.
D) The interpretation is flawed. The interpretation indicates that the level of confidence is varying.
4) In 90% of samples of adults in the country during the period of economic uncertainty, the proportion who believed wages paid to workers in industry were too low is between 0.55 and 0.71.
A) The interpretation is reasonable.
B) The interpretation is flawed. The interpretation provides no interval about the population proportion.
C) The interpretation is flawed. The interpretation sugguests that this interbal sets the standard for all the other intervals, which is not true.
D) The interpretation is flawed. The interpretation indicates that the level of confidence is varying.

Answer & Explanation

un4t5o4v

un4t5o4v

Skilled2021-09-24Added 105 answers

Step 1
Given that in a survey of 2085 adults in a certain country conducted during a period of economic 63% thought that wages paid to workers in industry were too low. The margin of error was 8 percentage points with 90% confidence.
Given values are
Margin of error (M)=8%=0.08
p^=63%=0.63
We are 90% confident 63% of adults in the country during the period of economic uncertainty felt wages paid to workers in industry were too low.
The confidence interval for 90% confident is
C.I.=(p^M, p^+M)
C.I.=(0.630.08, 0.63+0.08)
C.I.=(0.55, 0.71)
Here population proportion is not mention in this interval so
The correct option is
B) The interpretation is flawed. The interpretation provides no interval about the population proportion.
Step 2
We are 82% to 98% confident 63% of adults in the country during the period of economic uncertainty felt wages paid to workers in industry were too low.
The correct option is
D) The interpretation is flawed. The interpretation indicates that the level of confidence is varying.
Step 3
We are 90% confident that the interval from 0.55 to 0.71 contains the true proportion of adults in the country during the period of economic uncertainty who believed wages paid to workers in industry were too low.
The correct option is
A) The interpretation is reasonable.
Step 4
In 90% of samples of adults in the country during the period of economic uncertainty, the proportion who believed wages paid to workers in industry were too low is between 0.55 and 0.71.
C) The interpretation is flawed. The interpretation suggests that this interval sets the standard for all the other intervals, which is not true.

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