You are testing the null hypothesis that -Oversus the alternative > 0 using -.05

Question

You are testing the null hypothesis that -Oversus the alternative > 0 using -.05. Assume . 21. Suppose x-4.8 and n·10. value. Repeat assuming the same value of x but with n-20. Do the same for sample sizes of 30, 40, and 50. (Round the test statistic to two decimal places. Round the P.value to four decimal places.) n 10:z 025X P-value 04013 n- 20: z n 30: z the test statistic and its P P-value p-value P-value p-value n 50: z Plot the values of the test statates versus the sample sueDo the same for the P-values, (Do this on paper. Your instructor may ask you to turn this in.) Summarize what this demonstration shows about the effect of the sample size on significance testing. e As sample size increases, a test becomes more significant. o As sample size increases, a test becomes less significant. o As sample size increases, there is no effect on the significance o As sample size decreases, a test becomes more significant.

Explanation / Answer

a) n = 10

z = (4.8 - 0)/21/10

z = 0.72

P value = 0.2351

b)

n = 20

z = (4.8 - 0)/21/20

z = 1.02

P value = 0.1534

c) n = 30

z = (4.8 - 0)/21/30

z = 1.25

P value = 0.1053

d) n = 40

z = (4.8 - 0)/21/40

z = 1.45

P value = 0.0735

e) n = 50

z = (4.8 - 0)/21/40

z = 1.62

P value = 0.0526

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