Question

An e-commerce research company claims that 60% or more graduate students have bought merchandise on-line. A consumer group is suspicious of the claim and thinks that the proportion is lower than 60%. A random sample of 80 graduate students show that only 22 students have ever done so.

Is there enough evidence to show that the true proportion is lower than 60%? Conduct the test at 10% Type I error rate, and use both p-value and rejection region approaches.

**Make sure to include your null and alternative hypotheses, whether it is a left-tailed, right-tailed, or two-tailed test, whether the conditions are met for a one-proportion z-test, the rejection region and p-value, and your conclusion.

Answer 1

Guend Saluten e 22 22 0-2구5 hpothesis s the x he null and cltemahre Ho: P- 0-60 VS HiPO60 CUEX is left tuiled test IT ONT are met For a The Condition Z test X one Test statistic X Zo- NNCO1) VPL-p) h O-275-0.6o VO60 C0-4) 80 Zo -5.9336

Page Pvalue Pvalue pzcz pizs.9336) Rejechen Regian Reject Ho if Zo-Zo -)-28 )S Conclusion -}28)S and the p-value S.9336 Sin ce Zo - He jcct Ho and conclude that at the 1o% level of Siqnificance there is sufficient endence to Support of claim 601 hue prperhan less than