Find the value of z that would be used to test the difference between the proportions, given the following. (Use G - H. Give your answer correct to two decimal places.)
Sample n x
G 386 327
H 414 321
To find the value of z, we need to first calculate the proportions for both groups.
For group G:
Proportion for G = 327/386 = 0.8476
For group H:
Proportion for H = 321/414 = 0.7754
Next, we need to calculate the standard error, which is a measure of the variability of the sample proportions.
Standard error = sqrt((p1(1-p1)/n1) + (p2(1-p2)/n2))
Where p1 and p2 are the proportions for groups G and H, and n1 and n2 are the sample sizes for groups G and H, respectively.
Standard error = sqrt((0.8476(1-0.8476)/386) + (0.7754(1-0.7754)/414))
Next, we can calculate the test statistic, which is the difference in proportions divided by the standard error.
Test statistic = (Proportion for G - Proportion for H) / Standard error
In this case, it is (0.8476 - 0.7754) / Standard error.
Finally, we can use this test statistic to find the value of z, which is the number of standard deviations away from the mean.
To find the value of z, we can use a z-table or a calculator.