Question
In: Statistics and Probability
Use the sample data below to test the hypotheses Ho: p1 = p2 = p3 Ha...
Use the sample data below to test the hypotheses
Ho: p1 = p2 = p3
Ha : Not all population proportions are the same
| Populations | |||
| Response | 1 | 2 | 3 |
| Yes | 150 | 150 | 93 |
| No | 100 | 150 | 107 |
where pi is the population proportion of yes responses for population i. Using a .05 level of significance.
a. Compute the sample proportion for each population. Round your answers to two decimal places.
p1 = (___)
p2 = (___)
p3 = (___)
b. Use the multiple comparison procedure to determine which population proportions differ significantly. Use a 0.05 level of significance. Round pi, pj and difference to two decimal places. Round critical value to four decimal places.
| Comparison | p i | p j | |Absolute| Difference | n i | n j | Critical Value |
Significant Diff > CV |
| 1 vs 2 | (__) | (__) | (___) | (__) | (__) | (__) | Yes/No |
| 1 vs 3 | (__) | (__) | (___) | (__) | (__) | (__) | Yes/No |
| 2 vs 3 | (__) | (__) | (___) | (__) | (__) | (__) | Yes/No |
Solutions
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orchestra answered 1 year agoRelated Solutions
NO EXCEL! Use the sample data below to test the hypotheses H0: p1 = p2 =...
NO EXCEL!
Use the sample data below to test the hypotheses
H0: p1 =
p2 = p3
Ha: Not all population proportions are the
same
POPULATIONS
RESPONSE
1
2
3
YES
150
150
96
NO
100
150
104
where pi is the population proportion of yes
responses for population i. Using a .05 level of
significance. what is the p-value and what is your conclusion?
. 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....
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...
Test the hypothesis that p1 ≠ p2. Use α = 0.10. The sample statistics listed below...
Test the hypothesis that p1 ≠ p2. Use α = 0.10. The sample
statistics listed below are from independent random samples. Sample
statistics: n1 = 1000, x1 = 300, and n2 = 1200, x2 = 345
A. Do not reject Ho
B. The test cannot be used here, because the assumptions are not
satisfied
C. Reject Ho
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...
You wish to test the following claim (Ha) at a significance level of α=0.001. Ho: p1...
You wish to test the following claim (Ha) at a significance
level of α=0.001.
Ho: p1 = p2
Ha: p1 ≠ p2
You obtain 656 successes in a sample of size n1=773 from the first
population. You obtain 203 successes in a sample of size n2=255
from the second population. For this test, you should NOT use the
continuity correction, and you should use the normal distribution
as an approximation for the binomial distribution.
What is the test statistic for...
You wish to test the following claim (Ha) at a significance level of α=0.01. Ho: p1...
You wish to test the following claim (Ha) at a significance
level of α=0.01.
Ho: p1 = p2
Ha: p1 ≠ p2
You obtain 49.1% successes in a sample of size n1=689 from the
first population. You obtain 57.7% successes in a sample of size
n2=691 from the second population. For this test, you should NOT
use the continuity correction, and you should use the normal
distribution as an approximation for the binomial
distribution.
What is the test statistic for...
You wish to test the following claim (Ha) at a significance level of α=0.001. Ho: p1...
You wish to test the following claim (Ha) at a significance
level of α=0.001.
Ho: p1 = p2
Ha: p1 > p2
You obtain 48.2% successes in a sample of size n1=544 from the
first population. You obtain 41.3% successes in a sample of size
n2=477 from the second population. For this test, you should NOT
use the continuity correction, and you should use the normal
distribution as an approximation for the binomial
distribution.
What is the test statistic for...
You wish to test the following claim (Ha) at a significance level of α=0.005. Ho: p1...
You wish to test the following claim (Ha) at a significance
level of α=0.005.
Ho: p1 = p2
Ha: p1 > p2
You obtain 235 successes in a sample of size n1=332 from the first
population. You obtain 212 successes in a sample of size n2=313
from the second population. For this test, you should NOT use the
continuity correction, and you should use the normal distribution
as an approximation for the binomial distribution.
What is the test statistic for...
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