Question

Asked Jun 9, 2019

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A research group claims that 20% of patients with dementia never develop full Alzheimer's. In a simple random sample of 1,000 patients with dementia, 150 report that they never develop full Alzheimer's. Test the claim of the research group using a 5% significance level.

Step 1

**According to the given question, to test the hypothesis that the research group claims that 20% of patients with dementia never develop full Alzheimer's. In a simple random sample of 1,000 patients with dementia, 150 report that they never develop full Alzheimer's. To test the claim of the research group using a 5% significance level we define the hypothesis as follows:**

**Null hypothesis as: H0: 20% of patients with dementia never develop full Alzheimer's**

**Against the alternative hypothesis as;**

**Ha: 20% of patients with dementia develop full Alzheimer's**

**In order to test this hypothesis we Z test statistics for single proportion as follows:**

Step 2

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