According to a Gallup survey conducted in July 2011, 20% of Americans favor reducing the U. S. budget deficit by using spending cuts only, with no tax increases. An economics professor believes that fewer college students would favor deficit reduction through spending cuts only. The professor surveys 500 college students and finds that 75 of them favor reducing the deficit using only spending cuts. What is the test statistic?
A. Z=-2.80
B. Z=2.80
C. Z=-3.13
D. Z=3.13

Option C is correct.

The test statistic for this question is -3.13

Step-by-step explanation:

To compute the z-test statistic, the formula is given as

z = (x - μ₀)/σₓ

x = p = sample proportion of the 500 college students sampled, that favor reducing the deficit using only spending cuts with no tax increase = (75/500) = 0.15

μ₀ = p₀ = the proportion to be compared against, that is, the proportion of Americans that favor reducing the U.S. budget deficit by using spending cuts only, with no tax increases = 20% = 0.20

σₓ = standard error of the sample proportion = √[p(1-p)/n]

p = 0.15

n = Sample size = 500

σₓ = √[0.15×0.85/500] = 0.01597

z = (0.15 - 0.20) ÷ 0.01597

z = -3.13

Hope this Helps!!!

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

probably .5

i can on others if necessary.