Question

A major airline company is concerned that its proportion of late arrivals has substantially increased in the past month. Historical data shows that on the average 18% of the company airplanes have arrived late. In a random sample of 1,240 airplanes, 310 airplanes have arrived late. If we are conducting a hypothesis test of a single proportion to determine if the proportion of late arrivals has increased, what is the correct statement of null and alternative hypotheses

Answer 1

Answer:

The correct statement is  

The  null hypothesis is  $H_o : p = 0.18$

The alternative hypothesis is  $H_a : p > 0.18$

Step-by-step explanation:

From the question we are told that

    The population proportion is  p  =  0.18  

    The  sample size is  n  =  1240 airplane

     The  number of airplane is  k  =  310

 

Generally the sample proportion is  

      $\^ p = \frac{k}{n}$

=>   $\^ p = \frac{310}{1240}$

=>   $\^ p =0.25$

The  null hypothesis is  $H_o : p = 0.18$

The alternative hypothesis is  $H_a : p > 0.18$