The Bitter Bottling Company has developed "Featherweight," the cola with fewer calories and less taste. To evaluate this new product, the marketing manager gives a taste test to a random sample of 300 people. Each person in the sample tastes Featherweight and 4 other diet cola brands. To avoid bias, the actual brand labels are replaced by the letters A, B, C, D, and E. The results of the sample are shown in the following table:

$\begin{array}{|cc|}\hline \text{Brand}& \text{Number of Preferring Brand}\\ \text{A}& 50\\ \text{B}& 65\\ \text{C}& 45\\ \text{D}& 70\\ \text{E}& 70\\ \hline\end{array}$

Do the customers prefer a particular brand more than the others?

Use an alpha of 0.05.

1.What type of hypothesis testing should be used?

a. Chi-square Goodness of Fit Test

b. Chi-square Test on Independence

2. What are the null and alternative hypothesis?

a. $H}_{0$: The market does not have preferences; $H}_{1$: The market does have preference

b. $H}_{0$: The market does have preferences; $H}_{1$: The market does not have preference

3. What are the significance level and the type of test?

a. $\alpha =0.05$, Right-tailed

b. $\alpha =0.05$, left-tailed

c. $\alpha =0.05$, two-tailed