Question

Consider using a z test to test Ho: p = 0.3. Determine the p-value in each of the following situations. (Round your answers to four decimal places.) (a) Ha:p > 0.3, z = 1.46 (b) H:P < 0.3, z = -2.77 (c) H.: p0.3, z = -2.77 (d) H.:P <0.3, z = 0.23 You may need to use the appropriate table in the Appendix of Tables to answer this question.

Answer 1

Part a)
P value = P ( Z > 1.46 ) = 1 - P ( Z < 1.46 ) = 0.0721
Looking for the Z score 1.46 in standard normal table to find the P value.

Part b)
P value = P ( Z < -2.77 ) = 0.0028
Looking for the Z score -2.77 in standard normal table to find the P value.

Part c)
P value = 2 * P ( Z > 2.77 ) = 2 * 1 - P ( Z < 2.77 ) = 0.0056
Looking for the Z score -2.77 in standard normal table to find the P value.

Part d)
P value = P ( Z < 0.23 ) = 0.591
Looking for the Z score 0.23 in standard normal table to find the P value.