Suppose a University is considering changes in the type of beverages they offer and are interested to know whether students prefer Coca-Cola or Pepsi. To guage the opinion of the students at the university, 300 students were sampled and asked the following questions:

Do you prefer coca-cola or pepsi?

In the sample, 165 responded Coca-cola. Does this sample provide evidence that the students chose coca-cola more than what would be expected by chance?

The plot below shows that 100 simulated outcomes which were obtained to investigate the university's research hypothesis. In each of the 100 runs of the simulation, the university kept track of and plotted the proportion of correct answers given.

1. what is our variable of interest and it's type?
2. State your null and alternative hypothesis in symbols.
3. state your observed statistic and assign it a symbol.
4. state the parameter of interest:

a. the long run average of students who choose coca-cola

b. the long run proportion of students who choose coca-cola

c. the long run average of students who choose pepsi

d. The long run proportion of students who choose peps

Based on the dot plot, calculate the p-value to test the university's claim. Show your work.

p-value=_______

Based on your p-value above and a 5% significance level, we ______the null hypothesis

a. reject

b. Fail to reject

c. Accept

Briefly explain your decision

State your conclusion in context.

Suppose students choose coca-cola 220 out of 400.

Which of the following would change?

a. null hypothesis

b. alternative hypothesis

c. observed statistic

d. Sample size

Would you expect to happen to your strength evidence?

a. increase

b. decrease

c. stay the same