It has been reported in the past that the probability that an individual will develop schizophrenia over their lifetime is 0.004. A researcher believes that this proportion has increases since then. She found out that in a random sample of 2500 individuals, 16 developed schizophrenia. Is there evidence to support the claim that the true proportion of people who will develop schizophrenia is greater 0.004? Use hypothesis testing at a = 0.10 level of significance to answer this question. a. State the null and alternative hypotheses. b. What is the probability model (underlying distribution of the sample proportion p)? c. Compute p. d. Compute the test statistic. Find the P-value. f. Make the decision whether to reject Ho or not. g. State a conclusion answering the question above. e.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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It has been reported in the past that the probability that an individual will develop schizophrenia over
their lifetime is 0.004. A researcher believes that this proportion has increases since then. She found out
that in a random sample of 2500 individuals, 16 developed schizophrenia.
Is there evidence to support the claim that the true proportion of people who will develop schizophrenia
is greater 0.004?
Use hypothesis testing at a = 0.10 level of significance to answer this question.
a.
State the null and alternative hypotheses.
b. What is the probability model (underlying distribution of the sample proportion p)?
C. Compute p.
d. Compute the test statistic.
e. Find the P-value.
f. Make the decision whether to reject Ho or not.
g. State a conclusion answering the question above.
1
Transcribed Image Text:It has been reported in the past that the probability that an individual will develop schizophrenia over their lifetime is 0.004. A researcher believes that this proportion has increases since then. She found out that in a random sample of 2500 individuals, 16 developed schizophrenia. Is there evidence to support the claim that the true proportion of people who will develop schizophrenia is greater 0.004? Use hypothesis testing at a = 0.10 level of significance to answer this question. a. State the null and alternative hypotheses. b. What is the probability model (underlying distribution of the sample proportion p)? C. Compute p. d. Compute the test statistic. e. Find the P-value. f. Make the decision whether to reject Ho or not. g. State a conclusion answering the question above. 1
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