For this problem, carry at least four digits after the decimal in yaur calculations. Answers may vary sightly due to rounding. How hard is it to reach a businessperson by phone? Let p be the proportion of calls to businesspeople for which the caller reaches the person being called on the first try. A USE SALT (a) If you have no preliminary estimate for p, haw many business phone calls should you indude in a random sample to be 80% sure that the point estimate i will be within a distance of 0.03 from p? (Round your answer up to the nearest whole number.) 457 v phone calls (b) A report states that businesspeople can be reached by a single phone call approximately 15% of the time. Using this (national) estimate for p, answer part (a). (Round your answer up to the nearest whole number.) 303 X phone cals

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Author:Amos Gilat
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For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

How hard is it to reach a businessperson by phone? Let \( p \) be the proportion of calls to businesspeople for which the caller reaches the person being called on the first try.

**(a)** If you have no preliminary estimate for \( p \), how many business phone calls should you include in a random sample to be 80% sure that the point estimate \( \hat{p} \) will be within a distance of 0.03 from \( p \)? (Round your answer up to the nearest whole number.)

- **457** phone calls

**(b)** A report states that businesspeople can be reached by a single phone call approximately 15% of the time. Using this (national) estimate for \( p \), answer part (a). (Round your answer up to the nearest whole number.)

- **393** phone calls
Transcribed Image Text:For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. How hard is it to reach a businessperson by phone? Let \( p \) be the proportion of calls to businesspeople for which the caller reaches the person being called on the first try. **(a)** If you have no preliminary estimate for \( p \), how many business phone calls should you include in a random sample to be 80% sure that the point estimate \( \hat{p} \) will be within a distance of 0.03 from \( p \)? (Round your answer up to the nearest whole number.) - **457** phone calls **(b)** A report states that businesspeople can be reached by a single phone call approximately 15% of the time. Using this (national) estimate for \( p \), answer part (a). (Round your answer up to the nearest whole number.) - **393** phone calls
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