A researcher wishes speeders who exceed the posted speed limit on a particular stretch of road in the Canyonlands National Park where there are frequent accidents. How large should the sample be so that with 98 percent confidence, the sample proportion will not differ from the true proportion by more than 0.195? mate the true proportion of all

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**Problem Statement:**

A researcher wishes to estimate the true proportion of all speeders who exceed the posted speed limit on a particular stretch of road in the Canyonlands National Park where there are frequent accidents. The task is to determine the sample size required so that, with 98 percent confidence, the sample proportion will not differ from the true proportion by more than 0.195.

**Determine:**

- \( z = \) (Z-score corresponding to the 98% confidence level)
- \( n \geq \) (Required sample size)
Transcribed Image Text:**Problem Statement:** A researcher wishes to estimate the true proportion of all speeders who exceed the posted speed limit on a particular stretch of road in the Canyonlands National Park where there are frequent accidents. The task is to determine the sample size required so that, with 98 percent confidence, the sample proportion will not differ from the true proportion by more than 0.195. **Determine:** - \( z = \) (Z-score corresponding to the 98% confidence level) - \( n \geq \) (Required sample size)
Expert Solution
Step 1

Given that the confidence level is 98%

Therefore, the significance level is 1-confidence level=1-0.98=0.02

Consider,

α2=0.022=0.01

Critical value:

z=+/-2.32635, by the excel function =NORM.INV(0.01,0,1)

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