Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference...

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Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference...

Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference the appropriate table: z table or t table) H0: p1 − p2 ≥ 0 HA: p1 − p2 < 0 x1 = 248 x2 = 266 n1 = 444 n2 = 444

What is the Test Statistic?

math Statistics-And-Probability

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Answer 1

Answer #1

p1cap = X1/N1 = 248/444 = 0.5586
p1cap = X2/N2 = 266/444 = 0.5991
pcap = (X1 + X2)/(N1 + N2) = (248+266)/(444+444) = 0.5788

Test statistic
z = (p1cap - p2cap)/sqrt(pcap * (1-pcap) * (1/N1 + 1/N2))
z = (0.5586-0.5991)/sqrt(0.5788*(1-0.5788)*(1/444 + 1/444))
z = -1.22

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Answer 2

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