Question

Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 231 women, r1 = 61 responded yes. Another random sample of n2 = 190 men showed that r2 = 56 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use α = 0.10. Solve the problem using both the traditional method and the P-value method. (Test the difference p1 − p2. Round the test statistic and critical value to two decimal places. Round the P-value to four decimal places.) test statistic critical value ± P-value

Answer 1

The statistical software output for this problem is:

Hence,

Test statistic = -0.70

Critical value = + 1.28

P - value = 0.4846