Suppose that past research studies have found that 70 percent of a particular target market segment were aware of the Nike "swoosh" brand mark.If 65 percent of this target market in a sample of 60 people are aware of this brand mark,and if the standard error of the proportion is 0.06,the observed Z-test value is approximately:
A)-13.19
B)-0.83
C)0.83
D)13.19

Question

Quizplus · Accepted Answer

To calculate the Z-test value, we use the formula:

Z = (sample proportion - population proportion) / standard error

Population proportion = 0.70

Sample proportion = 0.65

Standard error = 0.06

Z = (0.65 - 0.70) / 0.06 = -0.83

Therefore, the observed Z-test value is approximately -0.83. The correct answer is B.

Suppose That Past Research Studies Have Found That 70 Percent