Finding the two-sample Z-test for two population proportions.

A two-sample z-test for two population proportions is to be performed using the approach. The null hypothesis is and the alternative is Use the given sample data to find the P-value for the hypothesis test. Give an interpretation of the P-value.
A poll reported that 3 out 50 college seniors surveyed did not have jobs, while 7 out of 50 college juniors did not have jobs during the academic year.

1. P-value = 0.0613; If there is no difference in the proportions, there is about a 6.13% chance of seeing the exact observed difference by natural sampling variation.

2. P-value = 0.0072; If there is no difference in the proportions, there is about a 0.72% chance of seeing the observed difference or larger by natural sampling variation.

3. P-value = 0.0613; There is about a 6.13% chance that the two proportions are equal.

4. P-value = 0.1824; There is about a 18.24% chance that the two proportions are equal.

5. P-value = 0.1824; If there is no difference in the proportions, there is about a 18.24% chance of seeing the observed difference or larger by natural sampling variation