Question

An airline company claims in a recent advertisement that more than 94% of passenger luggage that is lost is recovered and reunited with the customer within 1 day. Hunter is a graduate student studying statistics. For a research project, Hunter wants to find out whether there is convincing evidence in support of the airline company's claim. He randomly selects 315 passengers of the airline whose luggage was lost by the airline and found that 276 of those passengers were reunited with their luggage within 1 day. Are all of the conditions for this hypothesis test met, and if so, what are the null and alternative hypotheses for this hypothesis test?

Answer 1

Answer:

The null hypothesis is  $H_o : p \le 0.94$

The alternative hypothesis is   $H_a : p > 0.94$

Step-by-step explanation:

From the question we are told that

  The sample size is n =  315

   The population proportion is  p =  0.94

   The number of luggage that was recovered and reunited with the passenger in one day is  k =  276

   Generally the sample proportion is  mathematically represented as

       $\r p = \frac{k}{n}$

=>      $\r p = \frac{276}{315}$

=>      $\r p = 0.876$  

The null hypothesis is  $H_o : p \le 0.94$

The alternative hypothesis is   $H_a : p > 0.94$