Question

A shopping centre wants to examine the amount of space required for parking. Studies indicated that 60% of staff and shoppers use public transportation. A survey of 1,002 was taken, and 555 responded that they used public transportation.

a. State the null hypothesis and the alternate hypothesis. Round the final answers to 2 decimal places.

H₀: p =           

H₁: p ≠            

b. State the decision rule for 0.05 significance level. (Negative answer should be indicated by a minus sign. Round the final answers to 2 decimal places.)

Reject H₀ if z >   or z <  .

c. Compute the value of the test statistic. (Negative answer should be indicated by a minus sign. Round the final answer to 2 decimal places.)

Value of the test statistic            

d. At the 0.05 significance level, is it reasonable to conclude that the survey results indicate a change?

(Click to select)  Reject  Do not reject  H₀. There is  (Click to select)  enough  not enough  evidence to indicate that the results have changed.

Answer 1

a) H₀ : p = 0.6

H₁ : p ≠ 0.6

b) critical value = + Z_0.025 = + 1.96

Reject H0 if z > 1.96 or z < -1.96

c) test statistic

                      

                       = -2.98

d) Since test statistic is less than -1.96, we should reject H0

Reject H0. There is enough evidence to indicate that the results have changed.