Use a significance level of a -0.1 to test the claim that p1 p2. Use the given s

Question

Use a significance level of a -0.1 to test the claim that p1 p2. Use the given sample sizes and numbers of successes to find (a) the pooled estimate p. (b) the z test statistc hTreatment Group Placebo Group critical z-values, and (d) the P-value. 2800 x2 = 80 x140 (a) p (Round to three decimal places as needed.) (b) z= (Do not round until the final answer. Then round to two decimal places as needed.) (c) Choose the cormect critical z-values below. OA. OB. OC. ±1.96 ±1.645 ±2.575 (d) The P-value is Round to four decimal places as needed.)

Explanation / Answer

SolutionA:

pbar=x1+x2/n1+n2

=40+80/320+800

=120/1120

=0.107

ANSWER:0.107

Solutionb:

p1^=x1/n1=40/320=1/8=0.125

p2^=x2/n2=80/800=0.1

Z=p1^-p2^/sqrt(pbar(1-pbar)(1/n1+1/n2)

=0.125-0.1/sqrt(0.107(1-0.107)(1/320+1/800))

=0.025/sqrt(0.107*0.893*(1/320+1/800))

z =1.22

Solutionc:

z for 90%=+-1.645

optionB

Solutiond:

p=0.2217

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