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A medical school claims that more than 28% of its students plan to go into general...

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, 51 of them plan to go into general practice.

What is the conclusion( at a 5% significance level)?

Math   Statistics-And-Probability   
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Answer #1

Claim: More than 28% of its students plan to go into general practice.

The null and alternative hypothesis is

H0: P = 0.28

H1: P > 0.28

Level of significance = 0.05

Sample size = n = 130

x = 51

Test statistic is

P-value = P(Z > 2.85) = 1 - P(Z < 2.85) = 1 - 0.9978 = 0.0022

P-value < 0.05 we reject null hypothesis.

Conclusion: More than 28% of its students plan to go into general practice.

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