Question

1. The P-value of a test of the null hypothesis is

a. the probability the null hypothesis is true.

b. the probability the null hypothesis is false.

c. the probability, assuming the null hypothesis is false, that the test statistic will take a value at least as extreme as that actually observed.

d. the probability, assuming the null hypothesis is true, that the test statistic will take a value at least as extreme as that actually observed.

2. The P-value of a test of hypotheses is P = 0.0591. The conditions for the test are met. Based on this P-value,

a. you reject H0 at significance level 0.10, but not at significance level 0.05.

b. you reject H0 at significance level 0.05, but not at significance level 0.01.

c. H0 is proved at significance level 0.01.

d. you fail to reject H0 at significance level 0.10.

3. Which of the following will increase the value of the power in a statistical test of hypotheses?

a. Increase the Type II error probability.

b. Reject the null hypothesis only if the P-value is smaller than the level of significance.

c. Increase the sample size.

d. All of the above

4. A 99% confidence interval for the mean of a population is computed from a random sample and found to be 6 ± 3. We may conclude that

a. if we took many, many additional random samples, and from each computed a 99% confidence interval for , approximately 99% of these intervals would contain .

b. the true mean is 6 and the true margin of error is 3, both with 99% probability

c. there is a 99% probability that is between 3 and 9.

d. All of the above.

PLEASE ANSWER THESE AND EXPLAIN

Answer #1

For each problem,
select the best response.
(a) The P -value of a test of a null hypothesis
is
A. the probability the null hypothesis is
false.
B. the probability, assuming the null hypothesis
is false, that the test statistic will take a value at least as
extreme as that actually observed.
C. the probability, assuming the null hypothesis
is true, that the test statistic will take a value at least as
extreme as that actually observed.
D. the probability...

For each problem, select the best response.
(a) In formulating hypotheses for a statistical test of
significance, the null hypothesis is often
A. a statement that the data are all 0.
B. a statement of ''no effect'' or ''no
difference''.
C. the probability of observing the data you
actually obtained
D. 0.05
(b) In testing hypotheses, which of the following would be
strong evidence against the null hypothesis?
A. Obtaining data with a large P
-value.
B. Using a small...

Suppose that in a certain hypothesis test the null hypothesis is
rejected at the .10 level; it is also rejected at the .05 level;
however it cannot be rejected at the .01 level. The most accurate
statement that can be made about the p-value for this test is
that:
p-value = 0.01.
p-value = 0.10.
0.01 < p-value < 0.05.
0.05 < p-value < 0.10.
Complete the sentence: If we do not reject the null hypothesis,
we conclude that _____....

for
a hypothesis test the p-value was computed tl be 0.03421
which of the following would be correct conclusion.
a. fail to reject H0 at a significance level of 0.05
b. fail to reject H0 at a significance level of 0.1
c. reject H0 at a significance level of 0.01
d. reject H0 at a significance level of 0.025
e.. reject H0 at a significance level of 0.05

1. In testing a null hypothesis H0 versus an alternative Ha, H0
is ALWAYS rejected if
A. at least one sample observation falls in the non-rejection
region.
B. the test statistic value is less than the critical value.
C. p-value ≥ α where α is the level of significance. 1
D. p-value < α where α is the level of significance.
2. In testing a null hypothesis H0 : µ = 0 vs H0 : µ > 0,
suppose Z...

Consider a multinomial experiment with n = 275 and k = 4. The
null hypothesis to be tested is H0: p1 = p2 = p3 = p4 = 0.25. The
observed frequencies resulting from the experiment are: (You may
find it useful to reference the appropriate table: chi-square table
or F table)
Category 1 2 3
4
Frequency 67 55 75
78
a. Choose the appropriate alternative hypothesis.
Not all population proportions are equal to 0.25.
All population proportions differ...

If the P-value of a
hypothesis test is 0.0330 and the level of significance is α =
0.05, then the conclusion you should draw is to fail to reject the
null hypothesis.
True
False

The P-value for hypothesis test is shown. Use the
P-value to decide whether to reject Ho when the level of
significance is (a) a=0.01, (b) a=0.05, (c) a=0.10.
p=0.0646

Suppose we want to test the null hypothesis H0 : p = 0.28
against the alternative hypothesis H1 : p ≠ 0.28. Suppose also that
we observed 100 successes in a random sample of 400 subjects and
the level of significance is 0.05. What is the p-value for this
test?
a. 0.9563
b. 0.0901
c. 0.05
d. 0.1802

1.) Choose the true statement.
a.) If a null hypothesis is rejected for a test statistic at the
α=0.05 level, then at the α=0.01 level it would
never reject.
b.) If a null hypothesis is rejected for a test statistic at the
α=0.05 level, then at the α=0.01 level it would
always reject.
c.) If a null hypothesis is rejected for a test statistic at the
α=0.05 level, then at the α=0.01 level it may or
may not reject.
2.)...

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