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 that would be used to test the difference between the proportions, we can follow these steps:
1. Calculate the sample proportions for groups G and H.
- Proportion for G = x / n = 327 / 386 = 0.8476
- Proportion for H = x / n = 321 / 414 = 0.7754
2. Calculate the difference in proportions between G and H.
- Difference = Proportion for G - Proportion for H = 0.8476 - 0.7754 = 0.0722
3. Calculate the standard error of the difference in proportions.
- Standard error = √((Proportion G * (1 - Proportion G) / nG) + (Proportion H * (1 - Proportion H) / nH))
- Standard error = √((0.8476 * (1 - 0.8476) / 386) + (0.7754 * (1 - 0.7754) / 414))
4. Find the z-score using the difference and the standard error.
- z = (Difference - 0) / Standard error
By performing these calculations, you can find the value of z that would be used to test the difference between the proportions for groups G and H.