Question

A statistics instructor believes that fewer than $20\%$ of Evergreen Valley College (EVC) students attended the opening

night midnight showing of the latest Harry Potter movie. She surveys $84$ of her students and finds that$11$ attended the

midnight showing. An appropriate alternative hypothesis is:

$$\begin{gathered} a.p=0.20 \\ b.p>0.20 \\ c.p<0.20 \\ d.p\le 0.20 \end{gathered}$$

Short answer

The correct option is c. $p<0.20$

Step-by-step solution

Explanation: 

The null hypothesis here states that either 20 or greater than 20 percent of the pupils at the Evergreen College went to the opening night at the midnight showing of Harry Potter. Hence, the correct answer is $\left(c\right)p<0.20$. A basic understanding of hypothesis testing is required here. You have to be able to write the null and alternate hypotheses.

Solution: 

$\frac{11}{84}=0.13or13\%$, according to the sample size, only $13\%$of students at the Evergreen College went to the opening night at midnight of Harry Potter. The number is much less than 20.