2. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.In a random sample of61professional actors, it was found that42were extroverts.(a)Letprepresent the proportion of all actors who are extroverts. Find point estimates forpandq. (Round your answer to four decimal places.)

p=

q=

(b)Find a 95% confidence interval forp.Find the maximal margin of error. (Round your answer to two decimal places.)

E=

3.For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.In a random sample of66professional actors, it was found that43were extroverts.

(a)Letprepresent the proportion of all actors who are extroverts. Find a point estimate forp. (Round your answer to four decimal places.)

(b)Find a 95% confidence interval forp. (Round your answers to two decimal places.)

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4.For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.In a random sample of514judges, it was found that285were introverts.

(a)Letprepresent the proportion of all judges who are introverts. Find a point estimate forp. (Round your answer to four decimal places.)

(b)Find a 99% confidence interval forp. (Round your answers to two decimal places.)

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5. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. A random sample of5300permanent dwellings on an entire reservation showed that1627were traditional hogans.

(a) Letpbe the proportion of all permanent dwellings on the entire reservation that are traditional hogans. Find a point estimate forp. (Round your answer to four decimal places.) (b) Find a 99% confidence interval forp. (Round your answers to three decimal places.)

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6. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.A random sample of5,360permanent dwellings on an entire reservation showed that1,662were traditional hogans.

(a)Letpbe the proportion of all permanent dwellings on the entire reservation that are traditional hogans. Find a point estimate forp. (Round your answer to four decimal places.)

(b)Find a 99% confidence interval forp. (Round your answers to three decimal places.)

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7. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. Santa Fe black-on-white is a type of pottery commonly found in archaeological excavations at a certain monument. At one excavation site, a sample of604potsherds was found, of which367were identified as Santa Fe black-on-white.

(a) Letprepresent the proportion of Santa Fe black-on-white potsherds at the excavation site. Find a point estimate forp. (Round your answer to four decimal places.) (b) Find a 95% confidence interval forp. (Round your answers to three decimal places.)

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8. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. Case studies showed that out of10,562convicts who escaped from certain prisons, only8005were recaptured.

(a) Letprepresent the proportion of all escaped convicts who will eventually be recaptured. Find a point estimate forp. (Round your answer to four decimal places.) (b) Find a 99% confidence interval forp. (Round your answers to three decimal places.)

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9. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. A random sample of medical files is used to estimate the proportionpof all people who have blood type B.

(a)If you have no preliminary estimate forp, how many medical files should you include in a random sample in order to be 85% sure that the point estimatepwill be within a distance of0.03fromp? Find the critical value for 85% confidence level,

z_0.85, and find the specified maximal error of estimate,E. (Round your answers to two decimal places.)

z_0.85=

E=

Compute the sample sizenfor estimating the proportionpof all people who have bloodtype Bunder these restrictions. (Round your answer up to the nearest whole number.)

n= medical files

(b)Answer part (a) if you use the preliminary estimate that about11out of 90 people have blood type B. (Round your proportions to three decimal places and your sample size up to the nearest whole number.)

p=

1p=

n= medical files

10. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. A random sample of medical files is used to estimate the proportionpof all people who have blood type B.

(a)If you have no preliminary estimate forp, how many medical files should you include in a random sample in order to be 85% sure that the point estimatepwill be within a distance of0.05fromp? (Round your answer up to the nearest whole number.)

medical files

(b)Answer part (a) if you use the preliminary estimate that about15out of 90 people have blood type B.

medical files

11. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. A random sample of medical files is used to estimate the proportionpof all people who have blood type B.

(a) If you have no preliminary estimate forp, how many medical files should you include in a random sample in order to be 85% sure that the point estimatepwill be within a distance of0.03fromp? (Round your answer up to the nearest whole number.) medical files (b) Answer part (a) if you use the preliminary estimate that about11out of 90 people have blood type B. medical files

12. 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? Letpbe the proportion of calls to businesspeople for which the caller reaches the person being called on thefirsttry.

(a) If you have no preliminary estimate forp, how many business phone calls should you include in a random sample to be 80% sure that the point estimatepwill be within a distance of0.04fromp? (Round your answer up to the nearest whole number.) phone calls (b) A report states that business people can be reached by a single phone call approximately13%of the time. Using this (national) estimate forp, answer part (a). (Round your answer up to the nearest whole number.) phone calls

13. 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? Letpbe the proportion of women students on your campus.

(a)If no preliminary study is made to estimatep, how large a sample is needed to be 99% sure that a point estimatepwill be within a distance of0.06fromp? (Round your answer up to the nearest whole number.)

students

(b)A report indicates that approximately58% of college students are females. Answer part (a) using this estimate forp. (Round your answer up to the nearest whole number)

students