Find the P-value for the indicated hypothesis test.
-A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 of the school's students, 32% of them plan to go into general practice. Find the P-value for a test of the school's claim.
A)0.1635
B)0.3078
C)0.1539
D)0.3461

Question

Quizplus · Accepted Answer

To find the P-value for the hypothesis test, we first identify the type of test. The claim is about a proportion (more than 28%), so we use a one-sample z-test for proportions. The null hypothesis (H0) is that the proportion of students planning to go into general practice is 28% or less, and the alternative hypothesis (Ha) is that the proportion is more than 28%. Using the given sample proportion (32% or 0.32) and sample size (130), we calculate the test statistic and then find the corresponding P-value. The correct P-value, given the options, is 0.1539, indicating the probability of observing a sample proportion of 32% or more if the true proportion is 28% or less, under the null hypothesis.

Find the P-Value for the Indicated Hypothesis Test