A medical school claims that more than 28% of its students plan to go into general practice. To test this claim, a random sample of 130 of the school's students is selected. Of these, 32% of them plan to go into general practice. Find the P-value for this test of the school's claim.

The p-value of the test is 0.1314.

Step-by-step explanation:

In this case we need to test the claim made by a medical school that more than 28% of its students plan to go into general practice.

The hypothesis can be defined as follows:  

H₀: The proportion of students planning to go to general practice is 28%, i.e. p = 0.28.  

Hₐ: The proportion of students planning to go to general practice is more than 28%, i.e. p > 0.28.

The information provided is:  

 n = 130

Compute the test statistic value as follows:  

The test statistic value is 1.12.  

Compute the p-value as follows:  

The p-value of the test is 0.1314.

*Use the z-table.

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