Question

Chpt 9 Assignment i Saved Exercise 9-56 A shopping centre wants to examine the amount of space required for parking. Studies indicated that 52% of staff and shoppers use public transportation. A survey of 1,002 was taken, and 480 responded that they used public transportation. 10 points a. State the null hypothesis and the alternate hypothesis. Round the final answers to 2 decimal places. Ho: p = H1: p7 eBook Ask b. State the decision rule for 0.02 significance level. (Negative answer should be indicated by a minus sign. Round the final answers to 2 decimal places.) Print Reject Ho if z> D or z<D . 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 0.02 significance level, is it reasonable to conclude that the survey results indicate a change? (Click to select) Ho. There is (Click to select) evidence to indicate that the results have changed.

Answer 1

a) H0: p = 0.52

H1: $\tiny p \ne \mathbf{0.52}$

So, first two brackets will take value 0.52

b) for 0.02 and two tailed test z = 2.33, -2.33

So, Reject H0 if z > 2.33 or z < -2.33

c) $\tiny z=\frac{\hat{p}-p}{\sqrt{\frac{p*q}{n}}}=\frac{\frac{480}{1002}-0.52}{\sqrt{\frac{0.52*0.48}{1002}}}\approx -2.6$

Hence, value of test statistic = -2.6

d) Reject H0. There is sufficient evidence to indicate that the results has changed.

Pleaes comment if any doubt. Thank you.