Question

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.) A two-tailed hypothesis test is performed. If a null
hypothesis is rejected for a test statistic at the
*α**/2* = 0.01 level, would it also reject at the
*α**/2* = 0.05 level?

a.) always

b.) never

c.) sometimes

Answer #1

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 _____....

If you conduct a hypothesis test and conclude the null
hypothesis is rejected at a 5% level of significance, then it
_____.
a)
will never be tested at the 1% level
b)
will always be rejected at the 1% level
c)
may be rejected or not rejected at the 1% level
d)
will always be accepted at the 1% level

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...

1. TRUE or FALSE State whether the statement is true or false,
and also give a brief sentence explaining why you believe this.
(a) If we decrease the confidence level for a fixed n, we
decrease the width of the confidence interval.
(b) A research article reports that a 95% confidence interval
for mean reaction time is from 0.25 to 0.29 seconds. About 95% of
individuals will have reaction times in this interval.
c) In a hypothesis test, a p-value...

If a two-sided null hypothesis is not rejected for a single mean
at a given significance level, the corresponding one-sided null
hypothesis (i.e., the same sample size, the same standard deviation
and the same mean) will _________ be rejected at the same
significance level.
A. Always
B. Sometimes
C. Never

32. If a one-sided null hypothesis is rejected at a given
significance level, then the corresponding two-sided null
hypothesis (i.e., the same sample size, the same standard deviation
and the same mean) will be _______ rejected at the same
significance level
A. never
B. always
C. sometimes

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...

Using the critical value rule, if a two-sided null hypothesis
cannot be rejected for a single mean at a given significance level,
then the corresponding one-sided null hypothesis (i.e., the same
sample size, the same standard deviation, and the same mean) will
______________ be rejected at the same significance level.
a. never
b. sometimes
c. always

1. Which statement is incorrect?
A. The null hypothesis contains the equality sign
B. When a false null hypothesis is not rejected, a Type II error
has occurred
C. If the null hypothesis is rejected, it is concluded that the
alternative hypothesis is true
D. If we reject the null hypothesis, we cannot commit Type I
error
2. When carrying out a large sample test of H0: μ ≤ 10
vs. Ha: μ > 10 by using a critical value...

Determine whether you would reject or fail to reject the null
hypothesis in
the following situations:
a. z = 1.99, two-tailed test at α = 0.05
b. z = 0.34, z* = 1.645
c. p = 0.03, α = 0.05
d. p = 0.015, α = 0.01

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