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A random sample of n1=130 individuals results in x1=35 successes. An independent sample of n2=149 individuals results in x2=59 successes. Does this represent sufficient evidence to conclude that p1<p2 at the ?=0.1 level of significance?

questions:

the given situation is about?

write the hypotheses for the test
h0:
h1:

calculate the test statistic:

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Answer #1

Solution Given data X = 35 n =130 X = 59 ng = 149 x=0.1 Pi 35 130 Pi= 0.2692 X2 P2= ne 59 149 P2 = P₂ = 0.3960 P= Xi+X2 hitnaPo state the hull and Now to alternative hypothesis Nute hypothesis Ho: Pi= P2 Altea native hypothesis #, : Pi<Pz This is le3 - 0.1268 z = 0.0567 Z = -2.24 Test statistic, Z=-2.24 Now to find the Z critical Value The Z-conitical value for a left-taiPopulation is greater than the * Decision Test statistic, Z < Ecritical value - 2.24 < -1.28 since test statistic z is less t

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