Question

Consider a two tailed test for population proportion. The test statistic was -2.95, what is the p-value? A. 0.559 B. 0.4121 C. 0.2261 D. 0.0032 E. 0.117

Consider a right tailed test for population mean. The test statistic was 3.2 and had 12 degrees of freedom, what is the p-value for this test ? A. 0.3098 B. 0.3185 C. 0.3947 D. 0.0038 E. 0.0271

Consider a left tailed test for population mean. The test statistic was 3.12 and had 12 degrees of freedom, what is the critical value for this test if the level of confidence is 95%? A. ?2.22 B. ?1.78 C. ?0.26 D. ?1.69 E. ?1.15

Consider a two tailed test for population proportion. The test statistic was -2.99, what is the critical value for this test if the level of significance is 0.06? A. ±1.88 B. ±4.6 C. ±4.8 D. ±4.32 E. ±2.66

Answer 1

a) P-value = 2 * P(Z < -2.95)

                  = 2 * 0.0016

                  = 0.0032

Option - D is correct.

b) P-value = P(T > 3.2)

                  = 1 - P(T < 3.2)

                  = 1 - 0.9962

                  = 0.0038

Option - D is correct.

c) At = 0.0.5, the critical value is t_{0.05, 12} = -1.78

Option - B is correct.

d) At = 0.06 the critical value is z_0.03 = +/- 1.88

Option - A is correct.