What is the relationship between a chosen level of confidence for a confidence interval and how wide that interval is? For instance, if you move from a 95% CI to a 90% Cl, what happens? Hint: look at the t-table to see how critical values change when you change levels of significance. O The lower the confidence, the more narrow the interval, and thus the less likely it is you will reject the null. O The lower the confidence, the more narrow the interval, and thus the more likely it is you will reject the null. O The lower the confidence, the wider the interval, and thus the more likely it is you will reject the null. O The lower the confidence, the wider the interval, and thus the less likely it is you will reject the null.You are curious about how people feel about craft beer, so you gather data from 55 people in the city on whether or not they like it. You code your data so that O is neutral, positive scores indicate liking craft beer, and negative scores indicate disliking craft beer. You find that the average opinion was = 1.10 and the standard deviation was SX = 0.40, and you test for a two-tailed difference from 0 at the a = 0.05 level. O Reject the null; There is compelling evidence that people have positive feelings about craft beer. O Fail to reject (retain) the null: There is not compelling evidence that people have positive feelings about craft beer. O Reject the null; There is not compelling evidence that people have positive feelings about craft beer. O Fail to reject (retain) the null; There is compelling evidence that people have positive feelings about craft beer