Final answer:
To obtain a representative sample of psychology students at Grand Canyon University, you would need to determine an adequate sample size. One way to calculate this is by using the formula for sample size in proportions.
Step-by-step explanation:
To obtain a representative sample of psychology students at Grand Canyon University, you would need to determine an adequate sample size. One way to calculate this is by using the formula for sample size in proportions. In this case, you want a 95% confidence level and a margin of error no greater than 5%.
The formula for sample size is:
n = (Z^2 * p * (1 - p)) / E^2
Where:
n is the required sample size
Z is the Z-score corresponding to the desired confidence level. For a 95% confidence level, the Z-score is approximately 1.96.
p is the estimated proportion in the population. If you do not have an estimate, you can use 0.5 as a conservative estimate.
E is the desired margin of error. In this case, it is 0.05.
Once you have the values for Z, p, and E, you can plug them into the formula to calculate the required sample size.
For example, if you assume that the proportion of psychology students with a certain attitude is 0.5 and you want a 95% confidence level with a margin of error of 5%, the formula would be:
n = (1.96^2 * 0.5 * (1 - 0.5)) / 0.05^2 = 384.16
Rounding up, an adequate sample size to get a representative sample would be approximately 385 psychology students at Grand Canyon University. This sample size should help you estimate the attitudes of psychology students at the university with a reasonable degree of confidence.