Posted by Diana on Sunday, October 14, 2012 at 6:04pm.
Formula to find sample size:
n = [(z-value)^2 * p * q]/E^2
... where n = sample size, z-value is found using a z-table for 95% confidence, p = .48, q = 1 - p, ^2 means squared, * means to multiply, and E = .04 (or 4%).
For 2): use p = .5 (when no value is stated in the problem), q = 1 - p
I hope this will help get you started.
1) A group of scientists created 150 trials to measure whether electric shock treatment could cure paranoid delusions. Of these trials, 52 were successful. Find the margin of error E that corresponds to a 95% confidence level. The critical value for 95% confidence level is 1.96.
2) Find the minimum sample size that should be chosen to assure that the proportion estimate p will be within the required margin of error, .06. Use a 95% confidence interval and a population proportion of .7. The critical value for a 95% confidence level is 1.96
3) Find the test statistic for the following proportion: A collection of 500 randomly selected teachers revealed that 61% felt that all students should be required to take algebra in high school.
4) Employees in a large computer firm claim that the mean salary of the firm™s programmers is less than that of its competitors. The competitor™s salary is $47,000. A random sample of 30 of the firm™s programmers has a mean salary of $46,500 with a standard deviation of 5500. Calculate the test statistic for the hypothesis: Ho: mean >= 47000, H1: mean < 47000
Find the minimum sample size that should be chosen to assure that the proportion estimate p will be within the required margin of error, .06. Use a 95% confidence interval and a population proportion of .7. The critical value for a 95% confidence level is 1.96
Find the test statistic for the following proportion: A collection of 500 randomly selected teachers revealed that 61% felt that all students should be required to take algebra in high school.
Employees in a large computer firm claim that the mean salary of the firm™s programmers is less than that of its competitors. The competitor™s salary is $47,000. A random sample of 30 of the firm™s programmers has a mean salary of $46,500 with a standard deviation of 5500. Calculate the test statistic for the hypothesis: Ho: mean >= 47000, H1: mean < 47000