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Chapter 7: Q11 (page 312)

Formats of Confidence Intervals. In Exercises 9鈥�12, express the confidence interval using the indicated format. (The confidence intervals are based on the proportions of red, orange, yellow, and blue M&Ms in Data Set 27 鈥淢&M Weights鈥� in Appendix B.)

Yellow M&Ms Express the confidence interval (0.0169, 0.143) in the form ofp^-E<p<p^+E

Short Answer

Expert verified

The confidence interval is expressed as0.0169<p<0.143.

Step by step solution

01

Given information

The confidence interval for the proportion of yellow M&Ms has an upper confidence limit equal to 0.143 and a lower confidence limit equal to 0.0169.

02

Expression of the confidence interval

The confidence interval for the population proportion can be expressed as follows:

p^-E<p<p^+E

The lower limit of the confidence interval is equivalent to p^-Ewhile the upper limit of the confidence interval is equivalent to p^+E.

Therefore, the lower limit of the given confidence interval (0.0169) is equivalent to p^-Eand the upper limit (0.143) is equivalent to p^+E.

The expression of the confidence interval of the proportion of yellow M&Ms is equal to0.0169<p<0.143.

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