The table to the right shows the results of a survey in which 400 adults from th

Question

The table to the right shows the results of a survey in which 400 adults from the East, 400 adults from the South, 400 adults from the Midwest, and 400 adults from the Wes were asked if traffic congestion is a serious problem Complete parts (a) and (b) Construct a 99% confidence interval for the proportion of adults from the West who say traffic congestion is a serious problem The 99% confidence interval for the proportion of adults from the West who say traffic congestion is a serious problem is (Round to three decimal places as needed.) Construct a 99% confidence interval for (ho proportion of adults from the East who say traffic congestion is a serious problem Is it possible that these two proportions are equal? Explain your reasoning The 99% confidence interval for the proportion of adults from the Last who say traffic congestion is a serious problem is

Explanation / Answer

a) 99% c.i=Ps+-Zsqrt[Pu(1-Pu)/N], where, Ps and Pu are sample and population proportion, Z is critical Z at alpha=0.01 and N is sample size.

=0.54+-2.58 sqrt[(0.5*0.5)/400]

=0.476 to 0.605

b) 99% c.i=0.37+-2.58 sqrt [(0.5*0.5)/400]

=0.306 to 0.435

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