Question

In: Statistics and Probability

a fraction defactive of no more than 0.04 i random sample size of 195 yields 40...

a fraction defactive of no more than 0.04 i random sample size of 195 yields 40 defects. What is the value of the test statistic?

Solutions

Expert Solution

Solution :

Given that,

= 0.04

1 - = 0.96

n = 195

x = 40

Level of significance = = 0.0

Point estimate = sample proportion = = x / n = 0.205

Test statistic

z = ( - ) / *(1-) / n

= ( 0.205 - 0.04) / (0.04*0.96) / 195

= 11.758


Related Solutions

a fraction defactive of no more than 0.04 i random sample size of 195 yields 40...
a fraction defactive of no more than 0.04 i random sample size of 195 yields 40 defects. What is the value of the test statistic?
A random sample of size n = 40 is selected from a population that has a...
A random sample of size n = 40 is selected from a population that has a proportion of successes p = 0.8. 1) Determine the mean proportion of the sampling distribution of the sample proportion. 2) Determine the standard deviation of the sampling distribution of the sample proportion, to 3 decimal places. 3) True or False? The sampling distribution of the sample proportion is approximately normal.
A random sample of size 40 is selected from a population with the mean of 482...
A random sample of size 40 is selected from a population with the mean of 482 and standard deviation of 18. This sample of 40 has a mean, which belongs to a sampling distribution. a) Determine the shape of the sampling distribution b) Find the mean and standard error of the sampling distribution c) Find the probability that the sample mean will be between 475 and 495? d) Find the probability that the sample mean will have a value less...
A random sample of size 9 from a distribution of ?(?, 36) yielded ?̅ = 40....
A random sample of size 9 from a distribution of ?(?, 36) yielded ?̅ = 40. Find the confidence intervals for ? a. 99% b. 97.5% c. 95% d. 90%
A simple random sample of size n equals 40 is drawn from apopulation. The sample...
A simple random sample of size n equals 40 is drawn from a population. The sample mean is found to be x overbar equals 121.3 and the sample standard deviation is found to be s equals 12.9. Construct a​ 99% confidence interval for the population mean. Upper: Lower:
A simple random sample of size n equals 40 is drawn from a population. The sample...
A simple random sample of size n equals 40 is drawn from a population. The sample mean is found to be x overbar equals 121.9 and the sample standard deviation is found to be s equals 12.9. Construct a​ 99% confidence interval for the population mean. Lower bound: Upper bound:
A simple random sample of size n=40 is drawn from a population. The sample mean is...
A simple random sample of size n=40 is drawn from a population. The sample mean is found to be x=121.7 and the sample standard deviation is found to be s=13.3. Construct a​ 99% confidence interval for the population mean. The lower bound is ​ (Round to two decimal places as​ needed.)
A simple random sample of size n= 40 is drawn from a population. The sample mean...
A simple random sample of size n= 40 is drawn from a population. The sample mean is found to be x= 120.6 and the sample standard deviation is found to be s 13.3 Construct a​ 99% confidence interval for the population mean.
A simple random sample of size n equals 40n=40 is drawn from a population. The sample...
A simple random sample of size n equals 40n=40 is drawn from a population. The sample mean is found to be x overbar equals 121.1x=121.1 and the sample standard deviation is found to be s equals 12.7s=12.7. Construct a​ 99% confidence interval for the population mean. The lower bound is.. the upper bound is..
A simple random sample of size n equals n=40 is drawn from a population. The sample...
A simple random sample of size n equals n=40 is drawn from a population. The sample mean is found to be x overbar equals 120.3 and the sample standard deviation is found to be s equals 12.3 Construct a​ 99% confidence interval for the population mean.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT