Please answer all partsA recent newspaper article claims that 69% of car accidents involve some evidence of distracted driving. A police officer questions this claim, and pulls a random sample of 74 accident reports. If 52 of them involve distracted driving, is this enough evidence to show that the proportion of car accidents involve some evidence of distracted driving is significantly greater than than reported by the newspaper? (Use αα=0.01)For this study, we should use The null and alternative hypotheses would be: H0H0: (please enter a decimal) H1H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. As such, the final conclusion is that ...The sample data suggest that the populaton proportion is significantly greater than 69% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of car accidents involve some evidence of distracted driving is greater than 69%The sample data suggest that the population proportion is not significantly greater than 69% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of car accidents involve some evidence of distracted driving is greater than 69%.

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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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Please answer all parts

A recent newspaper article claims that 69% of car accidents involve some evidence of distracted driving. A police officer questions this claim, and pulls a random sample of 74 accident reports. If 52 of them involve distracted driving, is this enough evidence to show that the proportion of car accidents involve some evidence of distracted driving is significantly greater than than reported by the newspaper? (Use αα=0.01)

For this study, we should use

The null and alternative hypotheses would be:
  H0H0:            (please enter a decimal)
  H1H1:            (Please enter a decimal)

The test statistic = (please show your answer to 3 decimal places.)

The p-value = (Please show your answer to 4 decimal places.)

The p-value is αα

Based on this, we should the null hypothesis.

As such, the final conclusion is that ...
- The sample data suggest that the populaton proportion is significantly greater than 69% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of car accidents involve some evidence of distracted driving is greater than 69%
- The sample data suggest that the population proportion is not significantly greater than 69% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of car accidents involve some evidence of distracted driving is greater than 69%.

Expert Solution

Introduction

The test mean significant difference between the sample proportion and the population proportion for the sample size greater than 30 using the z test. The test statistic is calculated using the formula as

$z = \frac{p - P}{\sqrt{\frac{P Q}{n}}}$

where $p = \frac{x}{n}$