Question

Would you favor spending more federal tax money on the arts? Of a random sample of n₁ = 215 women, r₁ = 61 responded yes. Another random sample of n₂ = 176 men showed that r₂ = 55 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 = 0.01. 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:

From above output:

Test statistic = -0.62

Critical value = + 2.58

P - value = 0.5354