Question

Hypothesis Test - One Proportion

Sample Size           400

Successes             106

Proportion       0.26500

Null Hypothesis: P = 0.25

Alternative Hyp: P ≠ 0.25

Z (uncorrected)     0.69    P 0.4884

Difference       0.01500

Standard Error   0.02207

Method                     95% Confidence Interval

Simple Asymptotic             (0.22175, 0.30825)

1. I used Statistix to create a printout for a 95% confidence interval (and the test below) for the proportion of all college students that have a tattoo. Give a practical interpretation for this interval (4 points)

2. Give a theoretical interpretation of the interval (i.e., explain what is meant by 95% confidence). (4 points)

3. It was desired to test to determine if the proportion of all college students that have a tattoo exceeds 25%. Specify the hypotheses that should be tested and identify the p-value that should be used to conduct the test. (3 points)

H_o:

H_a:

P-value: _________

4. For the test of hypothesis conducted in part c, is the sample size considered large? Why or why not? (3 points).

Answer 1