Question

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

Answer #1

We have given -

P value = 0.0330 and level of significance = 0.05

We know the Decision rule of hypothesis testing.

Decision rule :

If P value then Reject the null hypothesis

And if P value > then Fail to Reject the null Hypothesis.

Here P value < hence we reject the null hypothesis.

Hence the conclusion you should draw is to fail to
reject the null hypothesis is **FALSE**

**Hence it is False.**

**Hope this will help you. Thank you
:)**

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...

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.

In each part, we have given the significance level and the
P-value for a hypothesis test. For each case determine if the null
hypothesis should be rejected. Write "reject" or "do not reject"
(without quotations).
(a) α=0.01,P=0.06α
answer:
(b) α=0.07,P=0.06α
answer:
(c) α=0.06,P=0.06
answer:

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: 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.

The p-value for this test statistic is 0.235. Ann will use a
significance level of 0.05 for her test. What conclusion should she
reach?
She should reject the null hypothesis, meaning the probability
of an on-time response in her neighborhood is less than in the rest
of the city.
She should conclude that there is not enough evidence to reject
the null hypothesis, meaning that she does not find evidence to
conclude that her neighborhood's on time response rate is...

In the following exercise, use a significance level of α = 0.05
to
State a conclusion about the null hypothesis. (Reject
H0 or fail to reject H0 )
Without using technical terms or symbols, state a conclusion
that addresses the original claim.
Original Claim: More than 58% of adults would erase all their
personal information online if they could. The hypothesis test
results in a P-value of 0.3257.

In a two-tailed hypothesis test of the mean using a 0.05 level
of significance, researchers calculated a p-value of 0.03. What
conclusion can be drawn? The alternative hypothesis should be
rejected because the p-value is so small. The null hypothesis is
true because the p-value is less than the level of significance.
The alternative hypothesis is 3% likely to be true. The null
hypothesis should be rejected because the p-value is less than the
level of significance.
1.The alternative hypothesis...

Use the given information to find the P-value. Also use a 0.05
significance level and state the conclusion about the null
hypothesis (reject the null hypothesis or fail to reject the null
hypothesis).
(a) The test statistic in a right-tailed test is z = 2.00
(b) The test statistic of z = -1.75 is obtained when testing the
claim that p = 1/3

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.

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