Question

You are optimistic and believe that more than 10% think - this gives you your hypothesis H0: p>0,1 for a proportion test. So you test 100 people. You observe that only 8% (8 of your sample of 100) people seem to be able to think. Is your hypothesis still acceptable or do you have to reject it? Use the test statistics which is standard normal distributed. 1-α=0.05

Answer 1

H₀: P = 0.1

H₁: P > 0.1

The test statistic z = ( - P)/sqrt(P(1 - P)/n)

                             = (0.08 - 0.1)/sqrt(0.1 * 0.9/100)

                             = -0.67

P-value = P(Z > -0.67)

              = 1 - P(Z < -0.67)

              = 1 - 0.2514

              = 0.7486

1 - = 0.05

or, = 0.95

At = 0.95, since the P-value is less than (0.7486 < 0.95), so we should reject the null hypothesis.

So there is sufficient evidence to support the claim that more than 10% able to think.

answered by: anonymous