A college would like to estimate the proportion of its students that work full-time while going to school. A researcher at the college found that 116 students out of a random sample of 440 students worked full-time while going to school. Determine the point estimate, ˆpp^ and the sample standard deviation, sˆpsp^. Round the sample proportion to four decimal places and round the standard deviation to six decimal places, if necessary. ˆp=p^= sˆp=sp^= Using a 97% confidence level, determine the margin of error, EE, and a confidence interval for the proportion of all students at the college who work full-time while going to school. Report the confidence interval using interval notation. Round solutions to four decimal places, if necessary. The margin of error is given by E=E=. A 97% confidence interval is given by .

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A college would like to estimate the proportion of its students that work full-time while going to school. A researcher at the college found that 116 students out of a random sample of 440 students worked full-time while going to school.

Determine the point estimate, ˆpp^ and the sample standard deviation, sˆpsp^. Round the sample proportion to four decimal places and round the standard deviation to six decimal places, if necessary.

ˆp=p^=

sˆp=sp^=

Using a 97% confidence level, determine the margin of error, EE, and a confidence interval for the proportion of all students at the college who work full-time while going to school. Report the confidence interval using interval notation. Round solutions to four decimal places, if necessary.

The margin of error is given by E=E=.

A 97% confidence interval is given by .

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