Explore BrainMass

# Hypothesis Testing: Z test for Population Proportion

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

The policy of the Suburban Transit Authority (STA) is to add a bus route if more than 45% of the potential commuters indicate they would use the particular route. A sample of 70 commuters revealed that 39 would use a proposed route from Bowman Park to the downtown area. Does the Bowman-to-downtown route meet the STA criterion? Use the .05 significance level.

A. What is the null hypothesis?
A. ¦Ì = 45%
B. ¦Ì ¡Ù 45%
C. ¦Ð = 45%
D. ¦Ð ¡Ý 45%
E. ¦Ð < 45%

B. What is the critical value?
A. ?.96
B. 1.96
C. -1.96
D. 1.65
E. Something else

C. What type of test is appropriate for this problem?
A. Z-test ?single samples
B. Z-test ?proportions
C. T-test of independence
D. Paired samples t-test
E. ANOVA

D. What is the test statistic?
A. .251
B. 1.66
C. 1.68
D. 1.96
E. .0926

E. What is the p-value?
A. .251
B. 1.66
C. 1.68
D. 1.96
E. .0926

F. What is the decision?
A. Accept the null of no difference. The Bowman-to-downtown route meets the STA criterion.
B. Reject the null of no difference. The Bowman-to-downtown route meets the STA criterion.
C. Accept the null of no difference. The Bowman-to-downtown route DOES NOT meet the STA criterion.
D. Reject the null of no difference. The Bowman-to-downtown route DOES NOT meet the STA criterion.