# The true proportion of individuals

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STAT 300 Week 11 Project Name (double
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In this project, we are going to work on hypothesis testing and estimating population
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Note: you can copy any of the following symbols from here: μ p σ σ 2
It has been reported that the probability that an individual will develop schizophrenia
over their lifetime is 0.004. Medical researches selected a random sample of 3000
individuals and determined that 17 of them developed schizophrenia. Is there evidence
to support the claim that the true proportion of people who will develop schizophrenia
is different from 0.004 at the α = 0.05 level of significance? (Source: Saha S, Chant D,
Welham J, McGrath J. A systematic review of the prevalence of schizophrenia. PLoS
Med 2(5): e141.)
a. Determine the null and alternative hypotheses:
Null hypothesis
There is sufficient evidence to back the claim that the proportion of those will contract
schizophrenia in the population is 0.004
H0: P = 0.004
Alternative hypothesis
H1: There is no sufficient evidence to back the claim that the proportion of those will
contract schizophrenia in the population is 0.004
H1: P ≠ 0.004
b. What type of test is being conducted in this problem?
The test being conducted in the highlighted case is a t-tailed test since H1: P ≠ 0.004
c. What parameter is being tested?

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