Consider the following hypothesis test:
H0: p ≥ 0.75
Ha: p < 0.75
A sample of 300 items was selected. Compute the p-value and
state your conclusion for each of the following sample results. Use
α = .05.
Round your answers to four decimal places.
a. p = 0.67 p-value _____?
b. p = 0.75 p-value _____?
c. p = 0.7 p-value _____?
d. p = 0.77 p-value _____?
Consider the following hypothesis test.
H0: p = 0.30
Ha: p ≠ 0.30
A sample of 400 provided a sample proportion p =
0.275.
(a)
Compute the value of the test statistic. (Round your answer to
two decimal places.) ______
(b) What is the p-value? (Round your answer to four
decimal places.) p-value =_____
(c) At α = 0.05, what is your conclusion?
Reject H0. There is insufficient evidence to
conclude that p ≠ 0.30.
Reject H0. There is sufficient...
Consider the following hypothesis test:
H0: p ≥ 0.75
Ha: p < 0.75
A sample of 300 items was selected. Compute the p-value
and state your conclusion for each of the following sample results.
Use = .05.
Round your answers to four decimal places.
b. = 0.74
p-value is
c. = 0.78
p-value is
For a hypothesis test of H0: p = 0.65 against the
alternative Ha: p < 0.65, the z test statistic is
found to be -2.35. What can be said about his finding?
The finding is significant at both α = 0.05 and α = 0.01.
The finding is significant at α = 0.05 but not at α = 0.01.
The finding is significant at α = 0.01 but not at α = 0.05.
The finding is not significant at α...
Consider the following hypothesis test:
H0: p .8
Ha: p > .8
A sample of 500 provided a sample proportion of .853.
16. Determine the standard error of the proportion.
17. Compute the value of the test statistic.
18. Determine the p-value; and at a 5% level, test the above the
hypotheses.
A test of H0: p = 0.4 versus Ha: p > 0.4 has the test
statistic z = 2.52.
Part A: What conclusion can you draw at the 5% significance
level? At the 1% significance level? (6 points)
Part B: If the alternative hypothesis is Ha: p ≠ 0.4, what
conclusion can you draw at the 5% significance level? At the 1%
significance level? (4 points) (10 points)
Consider the following hypothesis test: H0: ? = 16 Ha: ? ? 16 A
sample of 40 provided a sample mean of 14.17. The population
standard deviation is 6. a. Compute the value of the test statistic
(to 2 decimals). b. What is the p-value (to 4 decimals)? c. Using ?
= .05, can it be concluded that the population mean is not equal to
16? Answer the next three questions using the critical value
approach. d. Using ? =...
You may need to use the appropriate technology to answer this
question.
Consider the following hypothesis test.
H0: μ ≥ 70
Ha: μ < 70
A sample of 100 is used and the population standard deviation is
12. Compute the p-value and state your conclusion for each
of the following sample results. Use α = 0.01.
(a) x = 68.5
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal
places.)
p-value =
State...
Consider the following hypothesis test.
H0:
μd ≤ 0
Ha:
μd > 0
(a)
The following data are from matched samples taken from two
populations. Compute the difference value for each element. (Use
Population 1 − Population 2.)
Element
Population
Difference
1
2
1
21
18
2
28
25
3
18
16
4
20
19
5
26
25
(b)
Compute
d.
(c)
Compute the standard deviation
sd.
Conduct a hypothesis test using
α = 0.05.
Calculate the test statistic. (Round...
Consider the following hypothesis test.
H0:
μd ≤ 0
Ha:
μd > 0
(a)
The following data are from matched samples taken from two
populations. Compute the difference value for each element. (Use
Population 1 − Population 2.)
Element
Population
Difference
1
2
1
21
20
2
28
28
3
18
18
4
20
18
5
26
24
(b)
Compute
d.
(c)
Compute the standard deviation
sd.
(d)
Conduct a hypothesis test using
α = 0.05.
Calculate the test statistic....