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To investigate the prevalence rate of diabetes among men in Florida, we drew a random sample of 75 men from that population and among them 25 people...

To investigate the prevalence rate of diabetes among men in Florida, we drew a random sample of 75 men from that population and among them 25 people had diabetes. For the following hypotheses, what would be your conclusion based on the information provided? The level of significance (alpha level) is 0.05. (Hint: Depending on the direction of the alternative test, use 1.96 or -1.96 as the critical z-value)

Ho:  P = 0.2  (Null)

Ha:  P > 0.2 (Alternative)


Reject the null hypothesis.
Fail to reject the null hypothesis.
Cannot conclude due to the sample size and the population proportion not meeting the requirement needed for applying Central Limit Theorem.
Cannot conclude due to lack of information.


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Solution:
Ho: P = 0.2 (Null)
Ha: P > 0.2 (Alternative)
The level of significance (alpha level) is 0.05
^p = 25/75 = 0.3333 The z-critical value for a right-tailed test, for a significance level...

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