According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft ('Consumer fraud and, 2008). Assume a state had 362 complaints of identity theft out of 1470 consumer complaints . Calculate a 93% confidence interval for the proportion of all complaints that are complaints of identity theft in that state. P: Parameter What is the correct parameter symbol for this problem? P What is the wording of the parameter in the context of this problem?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23%
of all complaints in 2007 were for identity theft ('Consumer fraud and, 2008). Assume a state had 362
complaints of identity theft out of 1470 consumer complaints . Calculate a 93% confidence interval for the
proportion of all complaints that are complaints of identity theft in that state.
P: Parameter
What is the correct parameter symbol for this problem?
p V
What is the wording of the parameter in the context of this problem?
The percentage of all consumer complaints in that state that are for identity theft
A: Assumptions
●
Since qualitative
Vinformation was collected from each object, what conditions do we need
to check? Check all that apply.
Onp≥ 10
✔N > 20n
On 30 or normal population.
On(1-p) ≥ 10
n(1-p) 10
o is unknown.
✓n(p) > 10
o is known.
Check those assumptions:
1. np= 362
2. n(1-P)=
3. N= 1000000
which is 2 V 10
which is 2 V
which is > V
10
If no N is given in the problem, use 1000000
N: Name the procedure
The conditions are met to use a 1-Proportion Z-Interval V
Transcribed Image Text:According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft ('Consumer fraud and, 2008). Assume a state had 362 complaints of identity theft out of 1470 consumer complaints . Calculate a 93% confidence interval for the proportion of all complaints that are complaints of identity theft in that state. P: Parameter What is the correct parameter symbol for this problem? p V What is the wording of the parameter in the context of this problem? The percentage of all consumer complaints in that state that are for identity theft A: Assumptions ● Since qualitative Vinformation was collected from each object, what conditions do we need to check? Check all that apply. Onp≥ 10 ✔N > 20n On 30 or normal population. On(1-p) ≥ 10 n(1-p) 10 o is unknown. ✓n(p) > 10 o is known. Check those assumptions: 1. np= 362 2. n(1-P)= 3. N= 1000000 which is 2 V 10 which is 2 V which is > V 10 If no N is given in the problem, use 1000000 N: Name the procedure The conditions are met to use a 1-Proportion Z-Interval V
N: Name the procedure
The conditions are met to use a [1-Proportion Z-Interval V
I: Interval and point estimate
The symbol and value of the point estimate on this problem are as follows:
p
362
1470
Leave answer as a fraction.
The interval estimate for p Vis (
C: Conclusion
Round endpoints to 3 decimal places.
• We are 93
% confident that the
The percentage of all consumer complaints in that state that are for identity theft
between
% and
%
is
Transcribed Image Text:N: Name the procedure The conditions are met to use a [1-Proportion Z-Interval V I: Interval and point estimate The symbol and value of the point estimate on this problem are as follows: p 362 1470 Leave answer as a fraction. The interval estimate for p Vis ( C: Conclusion Round endpoints to 3 decimal places. • We are 93 % confident that the The percentage of all consumer complaints in that state that are for identity theft between % and % is
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