**Transcription of Statistical Hypothesis Testing Task****Problem Statement:**According to one source, 51% of plane crashes are due at least in part to pilot error. Suppose that in a random sample of 100 separate airplane accidents, 62 of them were due at least in part to pilot error. Complete parts a through c below.**a. Hypothesis Testing**Test the hypothesis that the proportion of airplane accidents due to pilot error is not 0.51. Use a significance level of 0.05.- **Determine the Null and Alternative Hypotheses:** Let \( p \) be the proportion of plane crashes due to pilot error. - \( H_0: p \) [Dropdown options] - \( H_A: p \) [Dropdown options] (Type integers or decimals. Do not round.)**b. P-value Calculation**- **Determine the P-value:** [Input Box] (Round to three decimal places as needed.)**c. Conclusion**- **What is the proper conclusion?** Reject \( H_0 \) because the P-value is [Dropdown options] the significance level.**Instructions:**Click to select your answer(s).---**Explanation Section**This section outlines a hypothesis test for the proportion of airplane accidents attributed to pilot error. The test is set at a significance level of 0.05, meaning results with a P-value below 0.05 would lead to rejecting the null hypothesis. The hypothesis involves statistical analysis of a sample of 100 accidents, with 62 being related to pilot error, to verify if this proportion significantly differs from the asserted 51% in past data. **Choose the Correct Interpretation:**- **A.** At the 0.05 level of significance there is not enough evidence to conclude that the percentage of plane crashes due to pilot error is not 51%.- **B.** At the 0.05 level of significance there is enough evidence to conclude that the percentage of plane crashes due to pilot error is not 51%.*Click to select your answer(s).*

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Description: **Transcription of Statistical Hypothesis Testing Task****Problem Statement:**According to one source, 51% of plane crashes are due at least in part to pilot error. Suppose that in a random sample of 100 separate airplane accidents, 62 of them were

a. The claim of the test is the proportion of airplane accidents due to pilot error is not 0.51 Null hypothesis: H0: p = 0.51. There is not enough evidence that the percentage of airplane accidents due to pilot error is not 51% Alternative hypothesis: HA: p > 0.51. There is enough evidence that the percentage of airplane accidents due to pilot error is not 51% The sample proportion is obtained below: From the given information, sample of 100 separate airplane accidents, 62 of them were due at least in part to pilot error and the level of significance 0.10. Thus, the sample proportion is 0.62.b. Type of statistic: Here, the type of test statistic is z-statistics is appropriate. Hypothesis testing for proportion (one proportion z-test) formula is : The test statistic is obtained below: From the given information, p-hat = 0.62, α = 0.05, p0 = 0.51, and n = 100 P-Value: It is given that, the level of significance is α = 0.05, test statistic (z) is 2.204. The excel formula for calculate the P-value is = 1-NORMDIST (x, mean standard_dev, cumulative) The P-value is: = 1-NORMDIST (2.204, 0, 1, 1) Thus, the P-value is 0.014. c. Conclusion: Use the level of significance α = 0.05. The P-value (0.014) is less than level of significance (0.05). We reject H0, because the P-value is less than the significance level Interpretation: We reject H0, At the 0.05 level of significance there is enough evidence that the percentage of airplane accidents due to pilot error is not 51%.

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According to one source, 51% of plane crashes are due at least in part to pilot error. Suppose that in a random sample of 100 separate airplane accidents, 62 of them were due at least in part to pilot error. Complete parts a through c below. a. Test the hypothesis that the proportion of airplane accidents due to pilot error is not 0.51. Use a significance level of 0.05. Determine the null and alternative hypotheses. Let p be the proportion of plane crashes due to pilot error. Ho:p HA:P (Type integers or decimals. Do not round.) b. Determine the P-value. (Round to three decimal places as needed.) c. What is the proper conclusion? V Ho because the P-value is V the significance level.

According to one source, 51% of plane crashes are due at least in part to pilot error. Suppose that in a random sample of 100 separate airplane accidents, 62 of them were due at least in part to pilot error. Complete parts a through c below. a. Test the hypothesis that the proportion of airplane accidents due to pilot error is not 0.51. Use a significance level of 0.05. Determine the null and alternative hypotheses. Let p be the proportion of plane crashes due to pilot error. Ho:p HA:P (Type integers or decimals. Do not round.) b. Determine the P-value. (Round to three decimal places as needed.) c. What is the proper conclusion? V Ho because the P-value is V the significance level.

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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