Question

Test the hypothesis using the? P-value approach. Be sure to verify the requirements of the test. Upper H 0?: pequals0.6 versus Upper H 1?: pgreater than0.6 nequals125?; xequals80?, alphaequals0.1 Is np 0 left parenthesis 1 minus p 0 right parenthesisgreater than or equals?10? Yes No Use technology to find the? P-value. ?P-valueequals nothing ?(Round to three decimal places as? needed.) ? Do not reject Reject the null? hypothesis, because the? P-value is ? less greater than alpha.

Answer 1

H₀: P = 0.6

H₁: P > 0.6

n * P * (1 - P) = 125 * 0.6 * 0.4 = 30 > 10

= 80/125 = 0.64

The test statistic z = ( - P)/sqrt(P(1 - P)/n)

                              = (0.64 - 0.6)/sqrt(0.6 * 0.4/125)

                               = 0.91

P-value = P(Z > 0.91)

              = 1 - P(Z < 0.91)

              = 1 - 0.8186

              = 0.181

Do not reject the null hypothesis, because the P-value is greater than alpha(0.181 > 0.1).