Assume You Plan To Use A Significance Level Of 0.05

Assume That You Plan To Use A Significance Level Of Α 005 To Test T

Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numbers of successes to find the pooled estimate p. Round your answer to the nearest thousandth. n1 = 100 n2 = 100 x1 = 42 x2 = 45 Select one: a. 0.435 b. 0.392 c. 0.305 d. 0.479

Paper For Above instruction

Calculating the pooled estimate p for the hypothesis test of two population proportions involves combining the successes and the total sample sizes from both groups. The pooled proportion provides an overall estimate of the proportion in the combined sample, which is essential for conducting z-tests for the difference between two proportions.

Given sample sizes n1 = 100 and n2 = 100, and successes x1 = 42 and x2 = 45, the pooled estimate p is calculated as:

p = (x1 + x2) / (n1 + n2) = (42 + 45) / (100 + 100) = 87 / 200 = 0.435

Thus, the pooled proportion p is approximately 0.435, rounded to three decimal places, which corresponds to option a.

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