Consider the following. (Give your answers correct to two decimal places.) (a) C

Question

Consider the following. (Give your answers correct to two decimal places.) (a) Calculate the test statistic z used in testing Ho: p = 0.70, Ha: p > 0.70; with the sample n = 284 and x = 253. (b) Calculate the test statistic z used in testing Ho: p = 0.50, Ha: p < 0.50; with the sample n = 432 and x = 207. (c) Calculate the test statistic z used in testing Ho: p = 0.35, Ha: p 0.35; with the sample n = 294 and x = 93. (d) Calculate the test statistic z used in testing Ho: p = 0.90, Ha: p > 0.90; with the sample n = 549 and x = 515. You may need to use the appropriate table in Appendix B to answer this question.

Explanation / Answer

a)

b)

c)

d)

sample success                                                           x                    = 253 sample size n                    = 284 std error       =Se            =(p*(1-p)/n) = 0.0272 sample proportion     p x/n= 0.8908 test stat = z                =                        (p-p)/Se= 7.02

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