Time Remaining: 01:45.39 Quiz: Week 7 Quiz This Quiz: 6 1140115 (1 complete) | h

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Time Remaining: 01:45.39 Quiz: Week 7 Quiz This Quiz: 6 1140115 (1 complete) | his Question: 5 pts the East, South, Midwest, and West were asked if traffic Bad Traffic Congesti The table shows the results of a survey in which separate samples of 400 adults each from congestion is a serious problem in their community Complete parts (a) and (b). South 33% 1% congestion is a serious problem (a) Construct a 95% confidence interval for the proportion of adults from the South who say traffic The 95% confidence interval for the proportion of adults from the South who say traffic congesion sa ser usr Round to three decimal places as needed.) ern Construct a 95% confidence interval for the proportion of adults from the East who say traffic congestion is a serious problem (b The 95% confidence interval for the proportion of adults from the East who say traffic congestion is a serious probl Round to three decimal places as needed) emis Enter your answer in each of the answer boxes O Type here to search

Explanation / Answer

Solution:-
Here, bad traffic congestion is,

formula for the CI interval for 95% is z*sqrt{ (p)*(1-p)/n}

Therfore,

a)To construct a 95% confidence interval for the proportion of adults from the South who say traffic congestion is a serious problem we have
p= 0.33
n=400
z value for 95% CI is 1.96

therefore,
1.96*sqrt {(0.33)(0.67)/400} = 1.96 *0.023= 0.046
The interval is 0.33 +/- 0.046 or (0.284,0.376)

for this we have p=0.36 n=400
therfore,

1.96*sqrt {(0.36)(0.64)/400}= 1.96 *sqrt (0.000576)=1.96*0.024=0.047
The CI is 0.36+/-0.047, or (0.313,0.407)

East 36%
South 33%
Midwest 25%
West 55%

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