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For this problem, carry at least four digits after the decimal in your calculati

ID: 3064810 • Letter: F

Question

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 p will be within a distance of 0.03 from p? (Round your answer up to the nearest whole number.) phone calls (b) A report states that businesspeople can be reached by a single phone call approximately 16% of the time. Using this (national) estimate for p, answer part (a). (Round your answer up to the nearest whole number.) phone calls Need Help?Read It Talk toa Tutor -12 points BBBasicStat8 8.3.025 My Notes Ask Your Teacher For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. What percentage of your campus student body is female? Let p be the proportion of women students on your campus. (a) If no preliminary study is made to estimate p, how large a sample is needed to be 99% sure that a point estimate p will be within a distance of 0.06 from p? (Round your answer up to the nearest whole number) students (b) A report indicates that approximately 60% of college students are females. Answer part (a) using this estimate for p. (Round your answer up to the nearest whole number.) students

Explanation / Answer

Q1.

PART A.

Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)

Z a/2 at 0.2 is = 1.282

Sample Proportion = 0.5

ME = 0.03

n = ( 1.282 / 0.03 )^2 * 0.5*0.5

= 456.5344 ~ 457

PART B.

Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)

Z a/2 at 0.2 is = 1.282

Sample Proportion = 0.16

ME = 0.03

n = ( 1.282 / 0.03 )^2 * 0.16*0.84

= 245.4329 ~ 246

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