Question

In: Statistics and Probability

Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A...

Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A drug is used to help prevent blood clots in certain patients. In clinical​ trials, among 4778 patients treated with the​ drug, 104 developed the adverse reaction of nausea. Construct a 99​% confidence interval for the proportion of adverse reactions. ​

a) Find the best point estimate of the population proportion p.

0.022 ​(Round to three decimal places as​ needed.) ​

b) Identify the value of the margin of error E.

E = __​(Round to three decimal places as​ needed.)

Solutions

Expert Solution

Solution :

Given that,

n = 4778

x = 104

= x / n = 104 / 4778 = 0.022

a) Point estimate = 0.022

1 - = 1 - 0.022 = 0.978

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 * (((0.022 * 0.978) / 4778)

b) Margin of error = 0.005

A 99% confidence interval for population proportion p is ,

- E < P < + E

0.022 - 0.005 < p < 0.022 + 0.005

0.017 < p < 0.027

(0.017,0.017)

c) The 99% confidence interval is 0.017 to 0.027


Related Solutions

Use the sample data and confidence level given below to complete parts a through d. A...
Use the sample data and confidence level given below to complete parts a through d. A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=1007 and x=571 who said yes. Use a 95% confidecne level. A. find the best point of estimate of the population of portion p. (Round to three decimal places as​ needed.) B. Identify the value of the margin of error E. E= round to four decimal places as needed....
Use the sample data and confidence level given below to complete parts a through d. A...
Use the sample data and confidence level given below to complete parts a through d. A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=950 and x=592 who said yes. Use a 95% confidecne level. A. find the best point of estimate of the population of portion p. (Round to three decimal places as​ needed.) B. Identify the value of the margin of error E. E= round to four decimal places as needed....
Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A...
Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the​ poll, n equals 994 and x equals 526 who said​ "yes." Use a 90 % confidence level. LOADING... Click the icon to view a table of z scores. ​a) Find the best point estimate of the population proportion p. 0.529 ​(Round to three decimal places as​ needed.) ​b) Identify the...
Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A...
Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the​ poll, n equals 944 and x equals 575 who said​ "yes." Use a 99 % confidence level. LOADING... Click the icon to view a table of z scores. ​a) Find the best point estimate of the population proportion p. . 609 ​(Round to three decimal places as​ needed.) ​b) Identify...
Use the sample data and confidence level given below to complete parts​ (a) through​ (d). In...
Use the sample data and confidence level given below to complete parts​ (a) through​ (d). In a study of cell phone use and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 2584 subjects randomly selected from an online group involved with ears.926 surveys were returned. Construct a 95% confidence interval for the proportion of returned surveys. Find the best point estimate of the population proportion p. Identify the value of the margin of error E. Construct the confidence interval.
Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A...
Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A research institute poll asked respondents if they acted to annoy a bad driver. In the​ poll, n = 2592, and x =1096 who said that they honked. Use a 99 % confidence level. ​a) Find the best point estimate of the population proportion p. ____ ​(Round to three decimal places as​ needed.) ​b) Identify the value of the margin of error E. E=____ ​(Round...
Use the sample data and confidence level given below to complete parts (a) through (d). A...
Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n equals 1079 and x equals 513 who said "yes." Use a 95 % confidence level. LOADING... Click the icon to view a table of z scores . a) Find the best point estimate of the population proportion p. nothing (Round to three decimal places as needed.) b) Identify...
Use the sample data and confidence level given below to complete parts (a) through (d). A...
Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood clots in certain patients. In clinical trials, among 43704370 patients treated with the drug, 139139 developed the adverse reaction of nausea. Construct a 9090 % confidence interval for the proportion of adverse reactions. a) Find the best point estimate of the population proportion p. nothing
Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A...
Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the​ poll, n equals 1098 and x equals 564 who said​ "yes." Use a 90 % confidence level.
Use the sample data and confidence level given below to complete parts? (a) through? (d). A...
Use the sample data and confidence level given below to complete parts? (a) through? (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the? poll, n equals 1013 and x equals 561 who said? "yes." Use a 90 % confidence level.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT