In a survey, two independent random samples of workers of sizes m= 124 and n = 130 fror two construction firms, were asked if they wear security helmets all the time. In the first sample 106 said yes, while in the second 98 said yes. Let pi and p2 be the population proportions of workers of the two firms who wear their security helmets all the time. 1- Test the equality of pi and p2 at a = 0.05 (large sample procedure), by the %3D following 5 steps. Step 1. Hypotheses and significance level: Но: Ha: a = Step 2. Test Statistic and its sampling distribution under Ho: Step 3. Observed value of the test statistic: Step 4. P-value under Ho: Step 5. Decision and conclusion (interpretation of the result):
In a survey, two independent random samples of workers of sizes m= 124 and n = 130 fror two construction firms, were asked if they wear security helmets all the time. In the first sample 106 said yes, while in the second 98 said yes. Let pi and p2 be the population proportions of workers of the two firms who wear their security helmets all the time. 1- Test the equality of pi and p2 at a = 0.05 (large sample procedure), by the %3D following 5 steps. Step 1. Hypotheses and significance level: Но: Ha: a = Step 2. Test Statistic and its sampling distribution under Ho: Step 3. Observed value of the test statistic: Step 4. P-value under Ho: Step 5. Decision and conclusion (interpretation of the result):
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Transcribed Image Text:In a survey, two independent random samples of workers of sizes m = 124 and n = 130 from
two construction firms, were asked if they wear security helmets all the time. In the first
sample 106 said yes, while in the second 98 said yes. Let pi and p2 be the population
proportions of workers of the two firms who wear their security helmets all the time.
1- Test the equality of pi and p2 at a = 0.05 (large sample procedure), by the
following 5 steps.
Step 1. Hypotheses and significance level:
Но:
Ha:
a =
Step 2. Test Statistic and its sampling distribution under Ho:
Step 3. Observed value of the test statistic:
Step 4. P-value under Ho:
Step 5. Decision and conclusion (interpretation of the result):
2- Construct a large sample 90% confidence interval for p1- p2.
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