Suppose that the following is to be tested: H0: p = 0.72 and Ha: p × 0.72. Calculate the observed z- statistic for the following sample data: Sixty- eight out of ninety test subjects have the characteristic of interest. Round to the nearest thousandth.
A)z = 0.751
B)z = 0.756
C)z = - 0.751
D)z = 0.453

Question

Quizplus · Accepted Answer

The observed z-statistic is calculated as (p̂ - p) / sqrt(p(1-p)/n), where p̂ is the sample proportion, p is the hypothesized proportion, and n is the sample size. In this case, p̂ = 68/90 = 0.756, p = 0.72, and n = 90. Plugging these values into the formula, we get z = (0.756 - 0.72) / sqrt(0.72(1-0.72)/90) = 0.756.

Suppose That the Following Is to Be Tested: H0: P