Maria has two routes, E and W, she can take when commuting to work. Both routes go through a railroad crossing, and sometimes she needs to stop at the crossing to allow trains to pass. She claims that the proportion of times she needs to stop when taking route E is different from the proportion of times she needs to stop when taking route W. She conducted the following hypothesis test at the significance level of α=0.10. H0:pE=pWHa:pE≠pW In the hypotheses, pE represents the proportion of times she needs to stop at the crossing when using route E, and pWrepresents the proportion of times she needs to stop at the crossing when using route W. All conditions for inference were met, and the resulting p-value was 0.37. Which of the following is the correct decision for the test? The p-value is less than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes. Answer A: The p -value is less than alpha , and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes. A The p-value is greater than α, and the null hypothesis is not rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is the same for the different routes. Answer B: The p -value is greater than alpha , and the null hypothesis is not rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is the same for the different routes. B The p-value is greater than α, and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes. Answer C: The p -value is greater than alpha , and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes. C The p-value is greater than α, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes. Answer D: The p -value is greater than alpha , and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes. D The p-value is greater than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

Maria has two routes, E and W, she can take when commuting to work. Both routes go through a railroad crossing, and sometimes she needs to stop at the crossing to allow trains to pass. She claims that the proportion of times she needs to stop when taking route E is different from the proportion of times she needs to stop when taking route W. She conducted the following hypothesis test at the significance level of α=0.10. H0:pE=pWHa:pE≠pW In the hypotheses, pE represents the proportion of times she needs to stop at the crossing when using route E, and pWrepresents the proportion of times she needs to stop at the crossing when using route W. All conditions for inference were met, and the resulting p-value was 0.37. Which of the following is the correct decision for the test? The p-value is less than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes. Answer A: The p -value is less than alpha , and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes. A The p-value is greater than α, and the null hypothesis is not rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is the same for the different routes. Answer B: The p -value is greater than alpha , and the null hypothesis is not rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is the same for the different routes. B The p-value is greater than α, and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes. Answer C: The p -value is greater than alpha , and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes. C The p-value is greater than α, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes. Answer D: The p -value is greater than alpha , and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes. D The p-value is greater than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

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Description: Maria has two routes, E and W, she can take when commuting to work. Both routes go through a railroad crossing, and sometimes she needs to stop at the crossing to allow trains to pass. She claims that the proportion of times she needs to stop when ta

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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H0:pE=pWHa:pE≠pW

In the hypotheses, pE represents the proportion of times she needs to stop at the crossing when using route E, and pWrepresents the proportion of times she needs to stop at the crossing when using route W.

All conditions for inference were met, and the resulting p-value was 0.37. Which of the following is the correct decision for the test?

The p-value is less than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

Answer A: The p -value is less than alpha , and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

A
The p-value is greater than α, and the null hypothesis is not rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is the same for the different routes.

Answer B: The p -value is greater than alpha , and the null hypothesis is not rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is the same for the different routes.

B
The p-value is greater than α, and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

Answer C: The p -value is greater than alpha , and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

C
The p-value is greater than α, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

Answer D: The p -value is greater than alpha , and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

D
The p-value is greater than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

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