A History professor at a local community college wants to estimate the percent of college students that cheat on online assessment. Out of 400 college students sampled, 32 had cheated. Based on this, construct a 95% confidence interval for the proportion p of college students that have cheated in his history class. Make sure to express your answers as decimals, to three places. part 1   .053 < p <  .107  Use the point estimate and margin of error to express the same answer. Give your answers as decimals, correctly to three places. part2  p = __    ±  ___

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A History professor at a local community college wants to estimate the percent of college students that cheat on online assessment. Out of 400 college students sampled, 32 had cheated. Based on this, construct a 95% confidence interval for the proportion p of college students that have cheated in his history class.

Make sure to express your answers as decimals, to three places.
part 1 
 .053 < p <  .107  Use the point estimate and margin of error to express the same answer. Give your answers as decimals, correctly to three places.
part2 
p = __    ±  ___

Expert Solution
Step 1

In statistical inference there are two types of estimation, 

1) Point estimation and

2) Interval estimation.

If an interval is proposed as an estimate of the unknown parameter, then it is interval estimation. An interval (T1, T2) that is proposed to contain the unknown parameter is called a confidence interval.                                                                           

Given,

Sample size = n = 400

x = 32

Level of significance = α = 1-0.95 = 0.05

 

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