Question

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.)

	Test Statistic	p-value
(a) H0: ππ ≤ 0.45 versus H1: ππ > 0.45, α = 0.05, x = 43, n = 82
(b) H0: ππ = 0.30 versus H1: ππ ≠ 0.30, α = 0.05, x = 17, n = 38
(c) H0: ππ ≥ 0.10 versus H1: ππ < 0.10, α = 0.01, x = 6, n = 103

Answer 1

The statistical software output for this problem is :

(a)

Test statistics = 1.354

P-value = 0.0879

(b)

Test statistics = 1.982

P-value = 0.0474

(c)

Test statistics = -1.412

P-value = 0.0789