Hypothesis testing

Question 1

p-value method steps

Answer 1

1. state null and alternative hypothesis
2. state alpha and decision rule (reject if p-value is less than alpha)
3. compute test statistic
4. compute p-value (find on table using test stat)
5. conclusion

Question 2

finding p-value (z)

Answer 2

1. for lower tail, use the test stat for the axis and line up. value at intersect is p-value
2. for upper tail, do the same thing then go 1-found p-value
3. for two tail, treat as a lower tail then times by 2

Question 3

finding p-value (t)

Answer 3

1. for upper tail find test stat value on middle of chart (with df) and line up to aplhas at the top (ie will be between 0.05 and 0.1 for example)
2. for lower tail, make your test stat + and treat as an upper tail (law of symmetry)
3. for two tail, double each bound. So a p-value between 0.05 and 0.1 becomes 0.1 and 0.2)

Question 4

Crit value method

Answer 4

1. state null and alternative hypothesis
2. State alpha and find crit value
3. state rejection region
4. compute test statistic
5. conclusion

Question 5

Finding the Crit value

Answer 5

for z : look at alpha on top of table, value at bottom is z
*For t: look at alpha on top and line up with DF, intersect is crit value

Question 6

shaded area in p-val vs crit val

Answer 6

In P-value, the shaded area is the P-value and the test stat is marked. In crit value, the shaded area is alpha, and the crit value is marked.

Question 7

crit value rejection rule

Answer 7

Z then Z*