Calculate the test statistic and pvalue for each sample Use

Calculate the test statistic and p-value for each sample. Use Appendix C-2 to calculate the p-value. (Negative values should be indicated by a minus sign. Round your test statistic to 3 decimal places and p-value to 4 decimal places.)

(a) H₀:   0.50 versus H₁: > 0.50, = 0.05, x = 50, n = 87

b) H₀:  = 0.30 versus H₁:   0.30, = 0.05, x = 19, n = 37

c. H₀:   0.10 versus H₁: < 0.10, = 0.01, x = 5, n = 109

Solution

a) Test Statistic Z = 1.3058 ; P-value = 0.0958

b) Test Statistic Z = 2.7874 P-value = 0.0053

c) Test Statistic Z = -1.879 P-value = 0.03