Question

We are interested in learning about the proportion of students who voted in the last presidential election. A statistix printout is shown below: Hypothesis Test - One Proportion Sample Size 200 Successes 75 Proportion 0.37500 Null Hypothesis: P = 0.5 Alternative Hyp: P LaTeX: \ne ≠ 0.5 Difference -0.12500 Standard Error 0.03423 Z (uncorrected) - 3.54 P 0.0004 Method 95% Confidence Interval Simple Asymptotic (0.30791, 0.44209) What assumption(s) are needed for this analysis to be valid?

Answer 1

Question:

What assumption(s) are needed for this analysis to be valid?

(1) The data are Simple Random sample from the population of interest

(2) The population is at least 10 times as large as the sample

(3)

(i) np 10

(ii) n(1-p) 10

There conditions (i) & (ii) are satisfied because:

here

n = 200

p = 0.5

So,

(i) np = 200 X 0.5 = 100 10

n(1-p) = 200 X (1- 0.5) = 100 10