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Find the indicated margin of error.
A survey found that 89% of a random sample of 1024 American adults approved of stronger laws
to reduce greenhouse gas emissions. Find the margin of error for the 90% confidence interval used
to estimate the population proportion. Give your answer as a percentage.
Use the one–proportion z–interval procedure to find the required confidence interval.
Of 284 employees selected randomly from one company, 8.45% of them commute by carpooling.
Construct a 90% confidence interval for the percentage of all employees of the company who
carpool.
Use the two–proportions z–interval procedure to obtain the required confidence interval for the difference between two
population proportions. Assume that independent simple random samples have been selected from the two populations.
A survey found that 37 of 77 randomly selected women and 44 of 85 randomly selected men
follow a regular exercise program. Find a 95% confidence interval for the difference between the
proportions of women and men who follow a regular exercise program.
Find the indicated margin of error.
In a random sample of 192 college students, 128 had part–time jobs. Find the margin of error for
the 95% confidence interval used to estimate the population proportion.
The number of successes and the sample size are given for a simple random sample from a population. Decide whether
using the one–proportion z–interval procedure is appropriate.
A two–proportions z–test is to be performed using the P–value approach. Use the given sample data to find the P–value
for the hypothesis test.
x1= 38, n1 = 100, x2= 40, n2= 100; H0: p1=p2, Ha: p1p2 , = 0.05
The numbers of successes and the sample sizes are given for independent simple random samples from two populations.
Use the two–proportions z–interval procedure to obtain the specified confidence interval.
x1=24, n1=40, x2=10, n2=40. 92% confidence interval