fentists think that robots will play a crucial role in factories in the next several decades. Suppose that in an experiment to determine whether the use of robots to weave computer cables is reas bot was used to assemble 503 cables. The cables were examined and there were 15 defectives. If human assemblers have a defect rate of 0.035 (3.5%), does this data support the hypothesis oportion of defectives is lower for robots than humans? Use a 0.01 significance level. USE SALT ate the appropriate null and alternative hypotheses. Ho: P = 0.035 H₂: P = 0.035 Ho: P = 0.035 H: P > 0.035 Ho: P = 0.035 H₂: P < 0.035 Ho: P < 0.035 H₂: P = 0.035 Iculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = value= ate the conclusion in the problem context. O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the defect rate is lower for robots. O Reject the null hypothesis. There is not sufficient evidence to conclude that the defect rate is lower for robots. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the defect rate is lower for robots. O Reject the null hypothesis. There is sufficient evidence to conclude that the defect rate is lower for robots.
fentists think that robots will play a crucial role in factories in the next several decades. Suppose that in an experiment to determine whether the use of robots to weave computer cables is reas bot was used to assemble 503 cables. The cables were examined and there were 15 defectives. If human assemblers have a defect rate of 0.035 (3.5%), does this data support the hypothesis oportion of defectives is lower for robots than humans? Use a 0.01 significance level. USE SALT ate the appropriate null and alternative hypotheses. Ho: P = 0.035 H₂: P = 0.035 Ho: P = 0.035 H: P > 0.035 Ho: P = 0.035 H₂: P < 0.035 Ho: P < 0.035 H₂: P = 0.035 Iculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = value= ate the conclusion in the problem context. O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the defect rate is lower for robots. O Reject the null hypothesis. There is not sufficient evidence to conclude that the defect rate is lower for robots. O Do not reject the null hypothesis. There is sufficient evidence to conclude that the defect rate is lower for robots. O Reject the null hypothesis. There is sufficient evidence to conclude that the defect rate is lower for robots.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Scientists think that robots will play a crucial role in factories in the next several decades. Suppose that in an experiment to determine whether the use of robots to weave computer cables is feasible, a robot was used to assemble 503 cables. The cables were examined and there were 15 defectives. If human assemblers have a defect rate of 0.035 (3.5%), does this data support the hypothesis that the proportion of defectives is lower for robots than humans? Use a 0.01 significance level.
**State the appropriate null and alternative hypotheses:**
- \( H_0: p = 0.035 \)
\( H_a: p \neq 0.035 \)
- \( H_0: p = 0.035 \)
\( H_a: p > 0.035 \)
- \( H_0: p = 0.035 \)
\( H_a: p < 0.035 \)
- \( H_0: p < 0.035 \)
\( H_a: p = 0.035 \)
**Calculate the test statistic and determine the \( P \)-value. (Round your test statistic to two decimal places and your \( P \)-value to four decimal places.)**
- \( z = \) [Box to fill in]
- \( P\)-value = [Box to fill in]
**State the conclusion in the problem context:**
- [ ] Do not reject the null hypothesis. There is not sufficient evidence to conclude that the defect rate is lower for robots.
- [ ] Reject the null hypothesis. There is not sufficient evidence to conclude that the defect rate is lower for robots.
- [ ] Do not reject the null hypothesis. There is sufficient evidence to conclude that the defect rate is lower for robots.
- [ ] Reject the null hypothesis. There is sufficient evidence to conclude that the defect rate is lower for robots.
You may need to use the appropriate table in the Appendix of Tables to answer this question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc02cea10-2b20-4726-bfe2-8f9101f448fb%2F36431079-d5e1-4b11-8963-b033c07c2b31%2Frzmh2p_processed.png&w=3840&q=75)
Transcribed Image Text:Scientists think that robots will play a crucial role in factories in the next several decades. Suppose that in an experiment to determine whether the use of robots to weave computer cables is feasible, a robot was used to assemble 503 cables. The cables were examined and there were 15 defectives. If human assemblers have a defect rate of 0.035 (3.5%), does this data support the hypothesis that the proportion of defectives is lower for robots than humans? Use a 0.01 significance level.
**State the appropriate null and alternative hypotheses:**
- \( H_0: p = 0.035 \)
\( H_a: p \neq 0.035 \)
- \( H_0: p = 0.035 \)
\( H_a: p > 0.035 \)
- \( H_0: p = 0.035 \)
\( H_a: p < 0.035 \)
- \( H_0: p < 0.035 \)
\( H_a: p = 0.035 \)
**Calculate the test statistic and determine the \( P \)-value. (Round your test statistic to two decimal places and your \( P \)-value to four decimal places.)**
- \( z = \) [Box to fill in]
- \( P\)-value = [Box to fill in]
**State the conclusion in the problem context:**
- [ ] Do not reject the null hypothesis. There is not sufficient evidence to conclude that the defect rate is lower for robots.
- [ ] Reject the null hypothesis. There is not sufficient evidence to conclude that the defect rate is lower for robots.
- [ ] Do not reject the null hypothesis. There is sufficient evidence to conclude that the defect rate is lower for robots.
- [ ] Reject the null hypothesis. There is sufficient evidence to conclude that the defect rate is lower for robots.
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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