Question

The z statistic for a one-sided test is z = 2.41 for Ha: m > m0. This test is

(A) not statistically significant at either a = 0.05 or a = 0.01.

(B) statistically significant at a = 0.05 but not at a = 0.01.

(C) statistically significant at both a = 0.05 and a = 0.01

You are testing Ho: m =0 against Ha: m ≠ 0 based on an SRS of 20 observations from a Normal population. What values of the z statistic are statistically significant at a = 0.005 level?

(A) All values for which z > 2.576

(B) All values for which z > 2.807

(C) All values for which |z| > 2.807

Answer #1

P-value = 0.008<0.01<0.05

Ans : (C) statistically significant at both a = 0.05 and a = 0.01

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Ans : (C) All values for which |z| > 2.807

You are testing H0: μ = 0 against Ha: μ ≠ 0 based on an SRS of
four observations from a Normal population. What values of the t
statistic are statistically significant at the α = 0.005 level?
a. t > 7.453
b. t <−7.453 or t > 7.453
c. t<−5.598 or t > 5.598

Find z* for each of these situations, taking into account
whether the test is one-sided or two-sided. Then find
the p-value, indicating its relation to alpha. Finally, determine
if the hypothesis test would lead to rejection of the null.
Test statistic(z) = -1.19,
Ho : p = .20, Ha : p ≠
.20, α = .10

1) The one-sample t statistic for testing
H0: μ = 10
Ha: μ
> 10
from a sample of n = 19 observations has the value
t = 1.83.
(a) What are the degrees of freedom for this statistic?
(b) Give the two critical values t* from the t
distribution critical values table that bracket t.
< t <
(c) Between what two values does the P-value of the test
fall?
0.005 < P < 0.010.01 < P <
0.02 0.02...

H0 : µ = 1m
Ha : µ < 1m
test statistic = 2.5
1. what is the sampling distribution for this test
statistic?
2. Level of significance is 0.05, what is the rejection
region?
3. Is this statistically significant? Why/why not?
(i) what does this say about the hypotheses?
4. Would the answer to 3. be different if the level of
significance was 0.01? why?

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.

Suppose you conduct a hypothesis test for the following
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a test statistic of t = 1.75. (2 points each)
H0: m = 0
Ha: m > 0
What are the degrees of freedom for this statistic?
What are the two critical values t* from the t-Distribution
Critical Values table that bracket this test statistic? What are
the one-sided p-values for these two entries?
Is the value t =...

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The result is
significant at both α = 0.05 and α = 0.01.
The result is
significant at α = 0.05 but not at α = 0.01.
The result is
significant at α = 0.01 but not at α = 0.05.
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question 1
1)
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You perform 1,000 significance tests using α = 0.01.
Assuming that all the null hypotheses are true, how many of the
test results would you expect to be statistically significant?
Explain your answer. (Sec. 6.3)...

For a test of Upper H 0: pequals0.50, the z test statistic
equals 1.72. Use this information to complete parts (a) through
(d) below.
a. Find the P-value for Upper H Subscript a: pgreater
than0.50. nothing (Round to three decimal places as needed.)
b. Find the P-value for Upper H Subscript a: pnot equals0.50.
nothing (Round to three decimal places as needed.)
c. Find the P-value for Upper H Subscript a: pless than0.50.
(Hint: The P-values for the two possible...

7.20 (p427) The one-sample t statistic for testing H0: μ = 8 Ha:
μ > 8 from a sample of n=22 observations has the value t =
2.24
a) What are the degrees of freedom for this statistic?
b) (report to 3 decimal places) Give the two critical values t*
from Table D that bracket t: Lower: Upper:
c) (report to 2 decimal places) Between what two values does the
P-value of the test fall? Lower: Upper:
d) Is...

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