Question
In: Statistics and Probability
Consider this hypothesis test: H0: p1 - p2 = 0 Ha: p1 - p2 > 0...
Consider this hypothesis test:
H0: p1 - p2 = 0
Ha: p1 - p2 > 0
Here p1 is the population proportion of “yes” of Population 1 and p2 is the population proportion of “yes” of Population 2. Use the statistics data from a simple random sample of each of the two populations to complete the following: (8 points)
Population 1 Population 2
Sample Size (n) 500 700
Number of “yes” 400 560
Compute the test statistic z.
What is the p-value?
Should H0 be rejected?
Use the p-value and a level of significance of 0.05 to justify your answer.
Use the above data to construct a 95% confidence interval for p1 - p2
Solutions
orchestra answered 1 year agoRelated Solutions
. Consider this hypothesis test: H0: p1 - p2 = < 0 Ha: p1 - p2...
. Consider this hypothesis test:
H0: p1 - p2 = < 0
Ha: p1 - p2 > 0
Here p1 is the population proportion of “happy” of Population
1 and p2 is the population proportion of “happy” of Population 2.
Use the statistics data from a simple random sample of each of the
two populations to complete the following:
Population 1
Population 2
Sample Size (n)
1000
1000
Number of “yes”
600
280
a. Compute the test statistic z.
b....
1. Consider this hypothesis test: H0: p1 - p2 = < 0 Ha: p1 - p2...
1. Consider this hypothesis test:
H0: p1 - p2 = < 0
Ha: p1 - p2 > 0
Here p1 is the population proportion of “happy” of Population
1 and p2 is the population proportion of “happy” of Population 2.
Use the statistics data from a simple random sample of each of the
two populations to complete the following:
Population 1
Population 2
Sample Size (n)
1000
1000
Number of “yes”
600
280
a. Compute the test statistic z.
b....
PART A 1. Consider this hypothesis test: H0: p1 - p2 = < 0 Ha: p1...
PART
A
1. Consider this hypothesis test:
H0: p1 - p2 = <
0 Ha: p1 - p2 > 0
Here p1 is the
population proportion of “yes” of Population 1 and p2 is the
population proportion of “yes” of Population 2. Use the statistics
data from a simple random sample of each of the two populations to
complete the following: (8
points)
Population 1
Population 2
Sample Size (n)
500
700
Number of “yes”
400
560
Compute the test...
Consider the following hypothesis test. H0: μd ≤ 0 Ha: μd > 0 (a) The following...
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...
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....
Consider the following hypothesis test. H0: μd ≤ 0 Ha: μd > 0 (a) The following...
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
21
2
28
28
3
18
16
4
20
18
5
26
25
(b) Compute d.
(c) Compute the standard deviation
sd.
(d) Conduct a hypothesis test using α = 0.05.
Calculate the test statistic....
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 −
μ2 ≠ 0 The following results are from independent samples taken
from two populations assuming the variances are unequal. Sample 1
Sample 2 n1 = 35 n2 = 40 x1 = 13.6 x2 = 10.1 s1 = 5.8 s2 = 8.2
(a) What is the value of the test statistic? 2.153 correct
(b) What is the degrees of freedom for the t distribution?
(Round your answer...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠...
Consider the following hypothesis test.
H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
The following results are from independent samples taken from
two populations.
Sample 1
Sample 2
n1 = 35
n2 = 40
x1 = 13.6
x2 = 10.1
s1 = 5.9
s2 = 8.1
(a)
What is the value of the test statistic? (Use
x1 − x2.
Round your answer to three decimal places.)
(b)
What is the degrees of freedom for the t...
Consider the following hypothesis test: H0: ? = 16 Ha: ? ? 16 A sample of...
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 ? =...
Consider the following hypothesis test. H0: u 1 -u 2= 0 Ha: u1 -u 2≠ 0 The following...
Consider the following hypothesis test.
H0: u 1
-u 2= 0
Ha: u1 -u 2≠
0
The following results are from independent samples taken from
two populations.
Sample 1
Sample 2
n 1 = 35
n 2 = 40
x 1 = 13.6
x 2 = 10.1
s 1 = 5.8
s 2 = 8.1
a. What is the value of the test statistic (to
2 decimals)?
b. What is the degrees of freedom for the
t distribution? (Round down your answer...
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