Question

In a recent poll, the CW estimated that about 25% of viewers watch Legends of Tomorrow weekly. February 25, 2016 is the crossover with the 2046 version of Arrow. The CW conducts a new random survey of 350 viewers and finds that 102 now plan to watch that episode. Does this provide strong evidence that having Arrow on Legends of Tomorrow increased viewership?

1) write the hypotheses

2) check the assumptions

3) do calculations

4) write a conclusion

Answer 1

1) Here claim is that p>0.25

So hypothesis is vs

2) As n is sufficient large, we get np>10 and nq>10 so we can use normal distribution for p

3) Here

So test statistics is

Hence P value is

4) As P value is less than alpha=0.05, we reject the null hypothesis

Hence we have sufficient evidence to support the claim that p>0.25