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: 2.223 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 v

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:

$H_0:p\le 0.50$

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.