In One Sample Proportion test it is important to convert the

In One Sample Proportion test, it is important to convert the sample proportion to a z-score first. In this example, we selected a random sample of size 150 from a pool of university students and asked whether they use the university gym on a regular basis. Ninety-five replied yes. Assuming that the population proportion under the null hypothesis is 50%, what is the z-score for the sample proportion? 1) 2.63 2) 3.27 3) 3.38 4) 2.48

Solution

Z= [(95/150)-0.5]/ (0.5*0.5/150)

= (0.6333-0.5)/0.0016667

= 3.27