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Formulate and Test Hypothesis

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A medical school claims that more than 32% of its students plan to go into general practice. It is found that among a random sample of 130 students, 46 of them plan to go into general practice.

a. Formulate the hypotheses to test the medical school's claim.

b. Test these hypotheses and draw a conclusion about the claim. Use an alpha level of 0.05 (show your work and state your conclusion)

c. Find the p-value for the test of the schools claim. Does this p-value support your conclusion? Why or why not?

I'm really interested in how to set up this problem. My teacher gets me really confused sometimes. Any assistance would be greatly appreciated.

Thank you

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Formulate and Test Hypothesis
________________________________________
A medical school claims that more than 32% of its students plan to go into general practice. It is found that among a random sample of 130 students, 46 of them plan to go into general practice.

a. Formulate the hypotheses to test the medical school's claim.

Denote by p the population mean proportion of its students plan to ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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