Question

For the hypotheses below, test a = 0.025 with n= 100 and p = 0.67. State a. the decision rule in terms of the critical value of the test statistic. b. the calculated value of the test statistic. c. the conclusion. Ho: p20.76 HA:p<0.76

I don't know how to do c. The conclusion.

Thanks in advanced for the help.

Answer 1

This is the left tailed test .

Z _0.025 = -1.645

Critical value = -1.645

$\hat p$ = x / n = 0.67

Test statistic = z

= $\hat p$ - P₀ / [$\sqrt$P_{0 *} (1 - P₀ ) / n]

= 0.67 - 0.76 / [$\sqrt$(0.76 * 0.24) / 100]

= -2.107

(c)

|z| > -1.645

Reject the null hypothesis