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An online retailer had a satisfaction guarantee where they accepted a retum and gave a refund tor any reason
within 30 days of a purchase. About 4% of orders were returned under this policy. The company changed the
timeframe to within 15 days and they were curious if that would also change what proportion of orders were
returned. They took a sample of orders to test H, p=0.04 versus H :P 0.04. where p is the proportion
of orders that would result in a return under the new policy
The sample of 500 orders showed that 15 orders were returned. Using these results, they calculated a test
-1.14 and a P value of approximately 0.25.

Sagot :

Considering the given p-value, it is found that the sample does not give enough evidence that the proportion has changed.

What are the hypothesis tested?

At the null hypothesis, it is tested if the proportion is still the same, that is:

[tex]H_0: p = 0.04[/tex]

At the alternative hypothesis, it is tested if the proportion has changed, that is:

[tex]H_1: p \neq 0.04[/tex].

What is the relation between the p-value and the test hypothesis?

Depends on if the p-value is less or more than the significance level:

  • If it is more, the null hypothesis is not rejected.
  • If it is less, it is rejected.

In this problem, the p-value is of 0.25, which is more than the standard significance level of 0.05. Hence, the null hypothesis is not rejected, which means that the sample does not give enough evidence that the proportion has changed.

More can be learned about hypothesis tests at https://brainly.com/question/27679258

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