Homework SourseIn a survey of 2461 adults 1870 reported that emails are eas
In a survey of 2461 adults, 1870 reported that emails are easy to misinterpret, but only 1250 reported that the telephone conversations are easy to misinterpret.
A. Construct a 95% confidence interval estimate for the population proportion of adults who report the bills are easy to misinterpret. Round to four decimal places.
B. Construct a 95% confidence interval estimate for the population proportion of adults who report to telephone conversations are easy to misinterpret. Round to four decimals places
In a survey of 2461 adults, 1870 reported that emails are easy to misinterpret, but only 1250 reported that the telephone conversations are easy to misinterpret.
A. Construct a 95% confidence interval estimate for the population proportion of adults who report the bills are easy to misinterpret. Round to four decimal places.
B. Construct a 95% confidence interval estimate for the population proportion of adults who report to telephone conversations are easy to misinterpret. Round to four decimals places
A. Construct a 95% confidence interval estimate for the population proportion of adults who report the bills are easy to misinterpret. Round to four decimal places.
B. Construct a 95% confidence interval estimate for the population proportion of adults who report to telephone conversations are easy to misinterpret. Round to four decimals places
Solution
a)
Confidence Interval For Proportion
CI = p ± Z a/2 Sqrt(p*(1-p)/n)))
x = Mean
n = Sample Size
a = 1 - (Confidence Level/100)
Za/2 = Z-table value
CI = Confidence Interval
reported that emails are easy to misinterpret(x)=1870
Sample Size(n)=2461
Sample proportion = x/n =0.76
Confidence Interval = [ 0.76 ±Z a/2 ( Sqrt ( 0.76*0.24) /2461)]
= [ 0.76 - 1.96* Sqrt(0) , 0.76 + 1.96* Sqrt(0) ]
= [ 0.743,0.7768]
b)
Reported that the telephone conversations are easy to misinterpret(x)=1250
Sample Size(n)=2461
Sample proportion = x/n =0.508
Confidence Interval = [ 0.508 ±Z a/2 ( Sqrt ( 0.508*0.492) /2461)]
= [ 0.508 - 1.96* Sqrt(0) , 0.508 + 1.96* Sqrt(0) ]
= [ 0.4881,0.5277]
