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Chapter 7: Q11 (page 312)

Formats of Confidence Intervals. In Exercises 9–12, 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 “M&M Weights” 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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