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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
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