Question

True or False: The higher the level of significance of a hypothesis test, the stronger the evidence we require to reject the null hypothesis.

True or False: The purpose of a hypothesis test is to assess the evidence in favour of the null hypothesis.

True or False: The higher the p-value of a hypothesis test, the more evidence we have to reject the null hypothesis.

Answer #1

Ans:

1)**False**

Higher the significance level,alpha,we will be more likley to reject the null hypothesis(as we reject the null hypothesis,when p-value<alpha),so we do not require stronger evidence ,if significance level is higher.

2)**False**

The purpose of a hypothesis test is to assess the evidence against the null hypothesis.

3)**False**

The lower the p-value of a hypothesis test, the more evidence we have to reject the null hypothesis.

(as it will be more unlikely to get this result,if null hypothesis is true)

True or False: The higher the level of significance of a
hypothesis test, the stronger the evidence we require to reject the
null hypothesis.
True or False: The purpose of a hypothesis test is to assess the
evidence in favour of the null hypothesis.
True or False: The higher the p-value of a hypothesis test, the
more evidence we have to reject the null hypothesis.

True or False
1. Hypothesis tests are robust to the significance level you
choose, meaning regardless of the alpha level: .10, .05, or .01,
our test will have the same conclusion or result.
2. If alpha is greater than the p-value, then we reject the null
hypothesis.
3. The p-value is strictly the probability the null hypothesis
being true.
4. Hypothesis tests are accessing the evidence provided by the
data and deciding between two competing hypotheses about the
population parameter....

Assume we are conducting a hypothesis test at the 5%
significance level.
Find the p-value for a left-tailed test if z0= -1.92. Is there
enough evidence to reject the
null hypothesis?
Find the p-value for a right-tailed test if z0= 2.53. Is there
enough evidence to reject the
null hypothesis?
Find the p-value for a two-tailed test if z0= -2.91. Is there
enough evidence to reject the
null hypothesis?
Find the p-value for a two-tailed test if z0= 2.88. Is...

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

A smaller p value gives us stronger evidence against the null
hypothesis.
TRUE or FALSE and explain briefly
The p value is the probability that the null hypothesis is
true.
TRUE or FALSE and explain briefly

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 _____....

Suppose that before we conduct a hypothesis test we pick a
significance level of ?. When the test is conducted, we get a
p-value of 0.023. Given this p-value, we
a. can reject the null hypothesis for any significance level, ?,
greater than 0.023.
b. cannot reject the null hypothesis for a significance level,
?, greater than 0.023.
c. can reject the null hypothesis for a significance level, ?,
less than 0.023.
d. draw no conclusion about the null hypothesis.

The p-value is the same as alpha, the level of significance of
the hypothesis test.
True
False

You perform a hypothesis test for a hypothesized population mean
at the 0.01 level of significance. Your null hypothesis for the
two-sided test is that the true population mean is equal to your
hypothesized mean. The two-sided p-value for that test is 0.023.
Based on that p-value... A. you should accept the null hypothesis.
B. the null hypothesis cannot be correct. C. you should reject the
null hypothesis. D. you should fail to reject the null
hypothesis.

1. True or False? If we would reject a null hypothesis at the 5% level, we would also reject it at the 1% level.
2. True or False? Other things being equal, a small level of
significance is desirable

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