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# Statistics - Speech or Presentation Example

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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…

## Extract of sample "Statistics"

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.
n = 150, x = 52
Sample proportion,
Margin of Error, E =
The margin of error E that corresponds to a 95% confidence level is 0.0762 (or 7.62%).
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
p = 0.70, E = 0.06, and z = 1.96
Sample size, = 225 (Rounded up)
The minimum sample size that should be chosen to assure that the proportion estimate p will be within the required margin of error, .06 is 225.
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.
n = 500, p = 0.61 and p0 = missing

The test statistic cannot be calculated as hypothesized value (or hypothesis) is missing.
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
n = 30, sample mean = \$46,500, s = \$5,500
Test statistic (z or t) = Read More
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