representation. A random sample of 400 workers at a new tation by a union. Find a 90% confidence Blossomed plants when 80 plants are grown manufacturing plant showed that 120 favored represen- interval for the proportion of workers that prefer union JUOUS DUDY

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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C.
What is the mean proportion of seeds that would have red blossoms?) a
b. What is the probability that exactly six out of eight of these plants will have red blossoms?
What is the mean of red-blossomed plants when 80 plants of this type are grown from seeds?
d. What is the probability of obtaining at least 50 red-blossomed plants when 80 plants are grown
from seeds?
a.
ond generation of a certain cross of sweet
colors of separate plants are independent.
That is, each plant has a 75% probability of having red
representation.
6.3 A random sample of 400 workers at a new manufacturing plant showed that 120 favored represen-
tation by a union. Find a 90% confidence interval for the proportion of workers that prefer union
AN DOOS 0907
5.4 A polling agency asks you to determine the sample size necessary to estimate a population proportion
to within ±0.025 at a confidence level of 95%. When you ask for an estimate of the population pro-
portion, they tell you that this is the sample size they wish to use in all their surveys and they cannot
estimate the proportion in advance.
JORG Blo
a. What sample size do you recommend that they use in all their future surveys to achieve at least the
desired precision?
b. What sample size do you recommend if you can assume that the true proportion is between 0.20
and 0.35?
c. What sample size do you recommend if you can assume that the true proportion is between 0.60
and 0.85?
Transcribed Image Text:C. What is the mean proportion of seeds that would have red blossoms?) a b. What is the probability that exactly six out of eight of these plants will have red blossoms? What is the mean of red-blossomed plants when 80 plants of this type are grown from seeds? d. What is the probability of obtaining at least 50 red-blossomed plants when 80 plants are grown from seeds? a. ond generation of a certain cross of sweet colors of separate plants are independent. That is, each plant has a 75% probability of having red representation. 6.3 A random sample of 400 workers at a new manufacturing plant showed that 120 favored represen- tation by a union. Find a 90% confidence interval for the proportion of workers that prefer union AN DOOS 0907 5.4 A polling agency asks you to determine the sample size necessary to estimate a population proportion to within ±0.025 at a confidence level of 95%. When you ask for an estimate of the population pro- portion, they tell you that this is the sample size they wish to use in all their surveys and they cannot estimate the proportion in advance. JORG Blo a. What sample size do you recommend that they use in all their future surveys to achieve at least the desired precision? b. What sample size do you recommend if you can assume that the true proportion is between 0.20 and 0.35? c. What sample size do you recommend if you can assume that the true proportion is between 0.60 and 0.85?
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