A marketing team has two possible messaging strategies and wants to understand their relative effectiveness. They try the different messages - whose relative effectiveness is completely unknown - on two focus groups, which are put together through a matched pairs design of two groups who were comparably inclined to buy a new product. After a video (different for each group) about a new product and thirty minutes of discussion, they survey the groups and find that 17 out of 35 in the first group say they are likely to buy the new product while 12 out of 35 of the second group say this. The team then performs a hypothesis test. The null hypothesis is that [Select ] and the alternative hypothesis is [ Select ] The difference between the proportions of the focus groups which say they are likely to buy is [ Select ] The z-score associated to this difference is [Select ] Because they had no preconceived opinion about which message would be more effective, the probability computed should be [ Select ] The P-value is thus [ Select ] which [ Select ] significant at the a = 0.05 level