In hypothesis testing, A null hypothesis (H0) is a claim which the person conducting the research wants to test while an alternative hypothesis (H1) is a contradiction of the null hypothesis.
There are two types of tests in hypothesis testing.
One tailed test: In one tailed test, a claim that a parameter is greater than/ less than a value is being tested. i.e mean > value or mean < value.
Two tailed test: In a two tailed test, a claim that a value is equal to a value is tested, i.e mean = value.
In the question above, Colleen is testing the claim that the average score of her class is the same as others against that it is different from others.
Therefore, the null hypothesis is H0: mean = 514 while the alternative hypothesis is H1: mean ≠ 514
Ok this one is a little bit more tricky since there are more possible answers. But we can do it! So look at the y-intercept. It lands on 25. Now we do "Rise over Run". So we go up 4 and left 1. Since the line is going left, the slope is a negative. And the line is solid instead of dotted so it is , ≤. Your answer would be the first option. I hope this helps love! :)
