For a test of H0: = 0.50, the sample proportion is 0.35 with n = 100.

For a test of H0: π = 0.50, the sample proportion is 0.35 with n = 100.

(a) Show that the test statistic is z = −3.0.

(b) Find and interpret the P-value for Ha:π < 0.50.

(c) For a significance level of α = 0.05, what decision do you make?

(d) If the decision in

(c) was in error, what type of error was it? What could you do to reduce the chance of that type of error?