Question

In: Statistics and Probability

A survey of 280 homeless persons showed that 63 were veterans. Construct a 99% confidence interval...

A survey of 280 homeless persons showed that 63 were veterans. Construct a 99% confidence interval for the proportion of homeless persons who are veterans

Solutions

Expert Solution

Solution :

Given that,

n =280

x = 63

= x / n =63 /280 = 0.225

1 - = 1 - 0.225 = 0.775

At 99% confidence level the z is ,

  = 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

Z/2 = Z0.005 = 2.576

Margin of error = E = Z / 2 * (( * (1 - )) / n)

= 2.576 * (((0.225* 0.775) / 280) = 0.0643

A 99 % confidence interval for population proportion p is ,

- E < P < + E

0.225 - 0.0643 < p < 0.225+ 0.0643

0.1607 < p < 0.2893

The 99% confidence interval for the population proportion p is : ( 0.1607 , 0.2893)


Related Solutions

Exercise 2. A survey of 525 homeless persons showed that 168 were not veterans. Construct a...
Exercise 2. A survey of 525 homeless persons showed that 168 were not veterans. Construct a 95% confidence interval for the proportion of homeless persons who are not veterans.
a) Using the dataset with 280 out of 500 matches won, construct a 99% confidence interval...
a) Using the dataset with 280 out of 500 matches won, construct a 99% confidence interval in StatKey using the percentile method. Take at least 5,000 resamples. Don’t forget to include a screenshot from StatKey and to identify your answer. b) When the confidence level was changed from 95% to 99%, how did the confidence interval change? Explain why.
Question: In survey 4001 adults 718 say they see a ghost construct 99% confidence interval for...
Question: In survey 4001 adults 718 say they see a ghost construct 99% confidence interval for the proportion. A 99% confidence interval for the population proportion is (), () round three decimal places. Interpret the results
In a random sample of 115 trombone players, 13 were female. Construct a 99% confidence interval...
In a random sample of 115 trombone players, 13 were female. Construct a 99% confidence interval for the proportion of trombone players that are female.
Construct a 99% confidence interval on the population variance and the population standard deviation for the...
Construct a 99% confidence interval on the population variance and the population standard deviation for the data listed below: 91.8, 112.1, 138.3, 90.6, 136.6, 113.6, 101.5, 123.6, 81.4, 119.2, 111.4, 89.4, 110.5, 80.5, 94.8, 117.0, 105.7, 146.6, 138.6, 99.9, 106.6
If n = 140 and X = 112, construct a 99% confidence interval for the population...
If n = 140 and X = 112, construct a 99% confidence interval for the population proportion, p. Give your answers to three decimals < p
If n = 460 and X = 368, construct a 99% confidence interval for the population...
If n = 460 and X = 368, construct a 99% confidence interval for the population proportion, p. Give your answers to three decimals
Assuming that the population is normally​ distributed, construct a 99% confidence interval for the population​ mean,...
Assuming that the population is normally​ distributed, construct a 99% confidence interval for the population​ mean, based on the following sample size of n=7.​ 1, 2,​ 3,4, 5, 6​,and 30   Change the number 30 to 7 and recalculate the confidence interval. Using these​ results, describe the effect of an outlier​ (that is, an extreme​ value) on the confidence interval. Find a 99 % confidence interval for the population mean. ​(Round to two decimal places as​ needed.) Change the number 30...
Problem:      Construct and interpret a 90%, 95%, and 99% confidence interval for the mean heights...
Problem:      Construct and interpret a 90%, 95%, and 99% confidence interval for the mean heights of either adult females or the average height of adult males living in America. Do not mix genders in your sample as this will skew your results. Gather a random sample of size 30 of heights from your friends, family, church members, strangers, etc. by asking each individual in your sample his or her height. From your raw data convert individual heights to inches....
assuming that the population is normally distributed, construct a 99% confidence interval for the population mean,...
assuming that the population is normally distributed, construct a 99% confidence interval for the population mean, based on the following sample size n=6. 1,2,3,4,5 and 29. in the given data, replace the value 29 with 6 and racalculate the confidence interval. using these results, describe the effect of an outlier on the condidence interval, in general find a 99% confidence interval for the population mean, using the formula.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT