SOLUTION: I have included what I think I have right so far. Thank you! H0: π1 = π2 H1: π1 ≠ π2 A sample of 200 observations from the first population indicated

Question 1065814: I have included what I think I have right so far. Thank you!
H0: π1 = π2
H1: π1 ≠ π2
A sample of 200 observations from the first population indicated that x1 is 170. A sample of 150 observations from the second population revealed x2 to be 110. Use the .05 significance level to test the hypothesis.
a. State the decision rule.
b. Compute the pooled proportion.
Population 1 170/200=.85
Population 2 110/150=.73
Pooled Proportion (170+110)/(200+150)=0.8
c. Compute the value of the test statistic.
Test Statistic (0.85 - 0.73)/SQRT (0.8*0.2*(1/200 + 1/150))=2.78
d. What is your decision regarding the null hypothesis?

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Alpha is 0.05
The critical value is |z|>1.96
The z value computed is in excess of 2.70.
This is significant at the 0.01 level.
Reject Ho; there is a difference between the two proportions. They are not samples from the same pool, if one wished to say that.
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SOLUTION: I have included what I think I have right so far. Thank you! H0: &#960;1 = &#960;2 H1: &#960;1 &#8800; &#960;2 A sample of 200 observations from the first population indicated

SOLUTION: I have included what I think I have right so far. Thank you! H0: π1 = π2 H1: π1 ≠ π2 A sample of 200 observations from the first population indicated