Question

3) Find the test statistics x2 for the indicated goodness-of-fit test. (Do not write out the entire test) 3) Using the data below and a 0.05 significance level, test the claim that the responses occur with percentages of 15%, 20%, 25%, 25%, and 15% respectively. Response A B C D E Frequency 12 15 16 18 19 Fill out the table below and use it to find the test statistics x2. (0-E2 E 0 E O-E (0-E)2 +2=

Answer 1

No on dice Observed values (0-E)^2 Expected Proportions 0.200 Expected values 16.00 A 12 1.00 B 15 0.200 16.00 0.06 C 16 0.200 16.00 0.00 D 18 0.200 16.00 0.25 E 19 0.200 16.00 0.56 Total 80 1.000 80 1.875

$X^2=\sum \frac{\left (Observed- Expected \right )^2}{Expected}$

$X^2=1.875$