Question

Suppose you have a two sided hypothesis test, Ha:
**?** ? **?0** with a test statistic
z=2.70. Determine the p-value and give the decision of
this test. Use a 5% level of significance.

a) P-value of 0.0035, reject the null hypothesis.

b) P-value of 0.0035, fail to reject the null hypothesis.

c) P-value of 0.9931, fail to reject the null hypothesis.

d) P-value of 0.0069, reject the null hypothesis.

Answer #1

The p-value of a two sided test is given by

or

In this case as test statistics is greater than 0, we will use the first formula to find p-value. The second formula in this case will give a p-value greater than 1, which is not possible.

As the p-value is less than 0.05, we have sufficient evidence to reject the null hypothesis.

d) P-value of 0.0069, reject the null hypothesis.

With H0: p = 0.4, Ha: p < 0.4 , the test statistic is z = –
1.68. Using a 0.05 significance level, the P-value and the
conclusion about null hypothesis are:
ِA) 0.0465; reject H0
B) 0.093; fail to reject H0
C) 0.9535; fail to reject H0
D) 0.0465; fail to reject H0
what is the correct answer?

For questions #13-15: Use α = 0.05.
Suppose you are conducting a two-sided hypothesis test and your
test statistic is t10 is 50. What is your p-value for
this test? (Or tell which two p-values it falls between)
For the Hypothesis Test in the previous problem what is your
decision?
Reject H0
Fail to reject H0
Suppose you wanted to create a 95% confidence interval for the
population mean in question. What value of t10 should
you use?

Questions D-F
d) You conduct a hypothesis test for the
population proportion. After you calculate the z test statistic,
you find that your p-value = 0.059. Using alpha (α) = 0.05 level of
significance, what is your decision regarding the null hypothesis?
Choose from the following.
- Reject the null hypothesis and reject the alternative
hypothesis
- Accept the null hypothesis
- Do not reject the null hypothesis
- Reject the null hypothesis and accept the alternative
hypothesis
e) You...

Consider a significance test for a null hypothesis versus a
two-sided alternative. Give a value of z (±0.001) that will give a
result significant at the 4 % level but not at the 2 % level.

The value obtained for the test statistic, z, in a one mean
z-test is given. Whether the test is two-tailed, left tailed, right
tailed is also specified. For parts (a) and (b), determine:
a) the test statistic in a two tailed test is z= -0.88.
The p-value is : _?
At the 1% significance level, the data _____ sufficient evidence
to reject the null hypothesis in favor of the alternative
hypothesis because the obtained p-value is _______ the significance
level....

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.

Find the P-value for the hypothesis test with the standardized
test statistic z = 0.52, Right-tailed test, and level of
significance = 0.05. Decide whether to reject H0 or fail to reject
H0.

The value obtained for the test statistic, z, in a one-mean
z-test is given. Whether the test is two-tailed, left tailed, or
right-tailed is also specified. For parts (a) and (b), determine
the P-value and decide whether, at the 11% significance level,
the data provide sufficient evidence to reject the null hypothesis
in favor of the alternative hypothesis.
a) The test statistic in a left-tailed test is z=-1.65
the P-value is ___ (round to three decimal places as
needed.)
At...

PLEASE SHOW WORK
Suppose that in a two-tailed hypothesis test you
calculated a Z statistic of -1.75. What is your p-value? And how
would you conclude if α = 5%?
P-value = 0.0401. H0 should be rejected at the 5% level
P-value = 0.0802. H0 should be rejected at the 5% level
P-value = 0.0802. H0 should not be rejected at the 5% level
P-value = 0.0402. H0 should be rejected at the 5% level
None of the above...

If you were conducting the two-sided hypothesis test,
Ho: μ = 65
Ha: μ ≠ 65
at the 5% significance level, would you reject or fail to reject
Ho. I don't want you to conduct a full hypothesis test here.
Instead, note that one of the above CIs is equivalent to conducting
this test. Tell me which interval and explain why you decided to
reject or fail to reject based on this interval.
1. Suppose you are going to construct...

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