Critical value: z = 2.33. Fail to reject null hypothesis. There is not sufficient evidence to support the claim
that more than half of all those using the drug experience relief.
-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 to support the school's claim.
A) 0.3078
B) 0.1635
C) 0.3461
D) 0.1539

Question

Quizplus · Accepted Answer

We can use a one-sample z-test where the null hypothesis is that the proportion of students planning to go into general practice is 0.28 and the alternative hypothesis is that it is greater than 0.28.

The test statistic is calculated as:

z = (0.32 - 0.28) / sqrt(0.28 * 0.72 / 130) = 1.34

The p-value for this test is the probability of getting a z-statistic greater than 1.34 if the null hypothesis is true. This can be calculated using a standard normal distribution table or calculator, and it is approximately 0.0932.

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, there is not sufficient evidence to support the claim that more than 28% of the medical school's students plan to go into general practice.

Critical Value: Z = 2