Question 4 please although I am unsure of my answers for the
rest as well :(
Here is the full list for background info.
 Consider a significance test for a null hypothesis versus a
twosided alternative. State all values of a standard normal test
statistic z that will give a result significant at the 10%
level but not at the 5% level of significance. (Sec. 6.2)
 You perform 1,000 significance tests using α = 0.01.
Assuming that all the null hypotheses are true, how many of the
test results would you expect to be statistically significant?
Explain your answer. (Sec. 6.3)
 One way to deal with the problem of misleading
Pvalues when performing more than one significance test
is to adjust the criterion you use for statistical significance.
The Bonferroni correction procedure for
k independent hypothesis tests at an overall level of
significance α requires conducting each individual test at
the α/k level of significance. You perform 5
independent tests of significance and observe the
following Pvalues: 0.0773,
0.0524, 0.0308, 0.0127, and 0.0098. Which of these tests are
statistically significant using the Bonferroni correction procedure
with α = 10%. (Sec. 6.3)
 You must decide which of two discrete distributions a random
variable X has. We will call the distributions
p_{0} and p_{1}. Here are the
probabilities they assign to the values x of
X.
x

2

1

0

1

2

p_{0}

0.20

0.20

0.20

0.20

0.20

p_{1}

0.05

0.25

0.30

0.25

0.15

You have a single observation on
X and wish to test
H_{0}: p_{0} is correct
versus
H_{1}: p_{1} is correct.
One possible decision procedure is to
reject H_{0} if X ≤ 0. (Sec. 6.4)
 Find the probability of a Type I error, that is, the
probability that you reject H_{0} when
p_{0} is the correct distribution.
 Find the probability of a Type II error.
 Find the power of the test procedure.