Franconia Notch Sports Outfitters has been told by its Beijing affiliate that the company has a 26% brand recognition level in China. That is, 26% of Chinese consumers are familiar with the Franconia Notch brand. In a recent marketing survey conducted on behalf of Franconia Notch, 1500 Chinese consumers were contacted. In the survey, 330 consumers were aware of the Franconia Notch brand.
a. Use the normal sampling distribution of the sample proportion to test a null hypothesis that Franconia Notch has a 26% brand recognition level in China. Use a significance level of .05.
b. Use a chi square test and a significance level of .05 to test the null hypothesis in part a.