b) Test statistic c) P value. Assume that the samples are dependent and were obt

Question

b) Test statistic

c) P value.

Assume that the samples are dependent and were obtained randomly

If the? P-value is less than the level of? significance, the null hypothesis should be rejected. Use this information to determine the result of this hypothesis test.

d) do you Reject or not reject the null hypothesis? Is there sufficient evidence ?

Using the data shown in the accompanying table, test whether he population proportions differ at he ?. 0.01 evel of significance by determining a the null and alte native hypotheses, b the test statistic, and c) the P-value. Assume that the samples are dependent and were obtained randomly EEB Click the icon to view the data table. (a) Let p1 represent the proportion of success for treatment A and p2 represent the proportion of success for treatment B. Determine the null and alternative hypotheses. Choose the correct answer below. A Ho: P1 p2 versus H P1P2 B. Ho: P12 versus H:P1P2 C. Ho: P1 P2 versus HP2 D. Ho P1 0 versus H P10 Data Table uccesS (b) The test statistic zo is-(Round to two decimal places as needed.) Treatment B 390 29 450 Print Done

Explanation / Answer

The statistical software output for this problem is:

Two sample proportion summary hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 ? 0

Hypothesis test results:

Hence,

Test statistic = 2.05

p - Value = 0.0406

Since p - value is greater than 0.01, we do not reject Ho. There is not sufficient evidence to conclude that p1 ? p2

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 9776 10195 9716 10195 0.0058852379 0.0028738926 2.0478281 0.0406

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