2. A civil engineering firm issues every new employee with a safety helmet. Four different sizes are available numbered 1 to 4. A random sample of 40 employees required the following sizes: 1 3 TM48 UTM 4 1 2 4 1 1 1 3 3 3 1 2 2 2 UTN 28 UTM 4 1 1 4 3 1 2 3 2 3 1 2 2 2 4 2JTM 3 4 1 3 UTM 8 UTM: 4UTM i. Construct a 90% confidence interval for the proportion of employees requiring size 3. The firm stated that at least 32% of the employees wear size 2 helmet. Determine at 1% level of significance, whether the data provide sufficient evidence to support the firm's claim. 4112

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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2. A civil engineering firm issues every new employee with a safety helmet. Four different sizes
are available numbered 1 to 4. A random sample of 40 employees required the following
sizes:
QUI Size
1
3
4
2
UTM UTM 6
1
1
4
1
2
3
13
3
2
2
1
UTD28 UTM
1
4
4
3
1
1
2
3
UTM
3
2
2
2
1
2
4
3
4
UTM UTM
1
3
i.
UTM 82
Construct a 90% confidence interval for the proportion of employees requiring size
3.
UTM UTM
11.
The firm stated that at least 32% of the employees wear size 2 helmet. Determine at
1% level of significance, whether the data provide sufficient evidence to support the
firm's claim.
2
Transcribed Image Text:2. A civil engineering firm issues every new employee with a safety helmet. Four different sizes are available numbered 1 to 4. A random sample of 40 employees required the following sizes: QUI Size 1 3 4 2 UTM UTM 6 1 1 4 1 2 3 13 3 2 2 1 UTD28 UTM 1 4 4 3 1 1 2 3 UTM 3 2 2 2 1 2 4 3 4 UTM UTM 1 3 i. UTM 82 Construct a 90% confidence interval for the proportion of employees requiring size 3. UTM UTM 11. The firm stated that at least 32% of the employees wear size 2 helmet. Determine at 1% level of significance, whether the data provide sufficient evidence to support the firm's claim. 2
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