For the following hypothesis test With n = 100 and p = 0.66,state the calculated value of the test statistic.
A)2.7299
B)-2.0785
C)1.4919
D)-0.3421

Question

For the following hypothesis test  With n = 100 and p = 0.66,state the calculated value of the test statistic.
A)2.7299 
B)-2.0785 
C)1.4919 
D)-0.3421

Quizplus · Accepted Answer

The test statistic for a hypothesis test of a single proportion is given by z = (p -P)/sqrt((P(1-P))/n), where p is the sample proportion, P is the hypothesized proportion, and n is the sample size.
Substituting the given values, we get
z = (0.66 - 0)/sqrt((0.66(1-0.66))/100) =  -2.0785 (rounded to 4 decimal places)
Therefore, the calculated value of the test statistic is -2.0785, which corresponds to choice B.

For the Following Hypothesis Test with N = 100