Question

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.

A. n1 = 100
B. n2 = 100
C. x1 = 42
D. x2 = 45

Answer 1

Answer:

The pooled estimated p is 0.435

Step-by-step explanation:

Data: n1 = 100; n2 = 100; x1 = 42; x2 = 45

claim: p1 = p2  

Alternative: p1 $\neq$ p2  

Hypothesis test:  

H0: p1 = p2  

H1: p1 $\neq$ p2 (Two tail test)

Calculation:

$p1=\frac{x1}{n1} =\frac{42}{100} =0.42\\\\p2=\frac{x2}{n2} =\frac{45}{100} =0.45$

$p=\frac{x1+x2}{n1+n2} =\frac{42+45}{100+100}=\frac{87}{200} =0.435$

The pooled estimated p is 0.435

Hope this helps!