Answer :
The null hypothesis to be taken here is H0= p1-p2<0 and the alternate hypothesis H1= p1-p2>0
The alternate hypothesis stands out after we perform a z-test for two proportions.
What is a z-test and when is it used?
A z-test is a statitstical inference test that mainly tests whether the given means of two different independent populations are same or not. It is done for a sample size greater than 30 and when the population distribution is normal. T-tests can be left, right or two tailed and can be done on one, two or proportions of samples. The variance of the sample is required to be known in order to perform a t-test.
How to approach the following question?
we will perform a z-test n the following datasets bearing in mind that they are two different proportions. Hence the formula we will use is:
[tex]\frac{p1-p2}{\sqrt{p(1-p)(\frac{1}{n1}+\frac{1}{n2} )} }[/tex]
Where p= [tex]\frac{x1+x2}{n1+n2}[/tex]
p1= [tex]\frac{45}{600}[/tex] = 0.0750, p2= [tex]\frac{30}{500}[/tex] = 0.600
p= 0.0682
z= 0.99
The p-value at significance level of 0.05 comes out as 0.1711
As the critical value is less than the calculated value, the null hypothesis can be rejected and the alternate hypothesis can be accepted which means that Standard Air has higher population proportions of lost bags than Down Under airlines. Further surveys and experiments are needed to further consolidate this hypothesis.
To know more about t-tests, follow the link: https://brainly.com/question/28384726
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