Question

1. The ___ the p-value, the more evidence the data presents against HO.

a. smaller

b. larger

2. In the case of the test statistic, the ___ it is in magnitude (positive or negative), the more evidence we have against HO.

a. larger

b. smaller

3. What is the appropriate Null hypothesis?

a. Ha:p<po

b. Ho: p=po

c. Ha:p>po

d. Ha:p ≠po

4. What is the appropriate Alrernative hypothesis?

a. Ha:p<po

b. Ha:p>po

c. Ha:p ≠po

d. All of the above

Answer 1

P value is the probability of getting an outcome as extreme as the observed outcome under Ho.

Thus, a small Pvalue will suggest that the probability of getting a statistic as extreme as the observed statistic, under Ho, is small (implying it may not be true)

Therefore,

1. The smaller the Pvalue, the more evidence the data presents against Ho.

In case of test statistic, a large value of test statistic will suggest that it may be an extreme or outlier value and hence, does not belong to the distribution.

Therefore,

2. The larger​ it is in magnitude, the more evidence we have against Ho

3. The null hypothesis always includes the equal sign.

Therefore, the most appropriate null hypothesis is:

b. Ho: p = po

4. The alternative hypothesis can be anything (directional/one-tailed or non-directional/two-tailed)

d. All of the above