Please answer this. Thanks! An airline company is interested in improving customer satisfaction rate from the50% currently claimed. The company sponsored a survey of 271 customers andfound that 147 customers were satisfied.What is the test statistic z? Ex: 2.229What is the p-value? Ex: 0.123Does sufficient evidence exist that the customer satisfaction rate is higher than theclaim by the company at a significance level of a = 0.05? Select

Answered: An airline company is interested in…

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 this. Thanks!

An airline company is interested in improving customer satisfaction rate from the
50% currently claimed. The company sponsored a survey of 271 customers and
found that 147 customers were satisfied.
What is the test statistic z? Ex: 2.229
What is the p-value? Ex: 0.123
Does sufficient evidence exist that the customer satisfaction rate is higher than the
claim by the company at a significance level of a = 0.05? Select

Expert Solution

Step 1

Let p population proportion of customers who were satisfied. The test is whether an airline company is interested in improving customer satisfaction rate from the 50% currently claimed. The hypothesis is,

Null hypothesis:

$H_{0} : p \leq 0.50$

Alternative hypothesis:

$H_{a} : p > 0.50$

The sample proportion is,

$\begin{array}{rcl} \hat{p} & = & \frac{x}{n} \\ = & \frac{147}{271} \\ = & 0.5424 \end{array}$

The sample proportion is 0.5424.

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