Question

The Center for the Display of Visual Arts wants to know whether its parking situation is getting worse. Specifically, administrators are concerned that a lack of parking is driving away potential visitors. The administrators plan to address the situation if at least 15% of visitors feel that finding parking near the facility is a problem (the center averages about 3,100 visitors per week). To get a sense of whether this is really the case, the administrators distribute a brief exit survey to 150 individuals who visit the center over the following week. The results indicate that 32 of 150 visitors complained about being unable to find adequate parking. Present a hypothesis and null hypothesis. Calculate a t score and use it to evaluate the hypotheses. What should the administrators conclude from these results?

Answer 1

We have, to test, H0: p = 0.15 against H1: p 0.15

The test-statistic is, Z = , where = 32/150 = 0.2133, p = 0.15, n = 150

Thus, Z = 2.1712

Under H0, Z ~ N(0,1)

If we assume 5% level of significance, the the critical values are -1.96 and +1.96.

Since, observed Z > 1.96, we reject the null hypothesis H0.

The result indicates that significant nunber of cases of complain.has been found.