Chegg construct the 95% confidence interval for the difference between the positive rates of men and women.

Complete Question

In a random sample of 700 men tested for the coronavirus, 63 were positive. Another independent random sample of 2950 women tested for the coronavirus resulted in 7 positive cases.Construct the 95% confidence interval for the difference between the positive rates of men and women

The 95% confidence interval is  

Step-by-step explanation:

From the question we are told that

   The sample size of men  is  

   The number men that tested positive is  

    The sample size of women is

    The number of women that tested positive is  

From the question we are told the confidence level is  95% , hence the level of significance is    

=>  

Generally from the normal distribution table the critical value  of   is  

Generally the proportion of men that tested positive is mathematically represented as

=>    

=>    

Generally the proportion of women that tested positive is mathematically represented as

=>    

=>    

Generally the pooled population proportion is mathematically represented as

=>      

=>      

Generally the standard error is mathematically represented as

=>  

=>  

Generally the margin of  error is mathematically represented as

=>

=>

Generally 95% confidence interval is mathematically represented as  

=>  

=>  

answer: 2530

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range is infinite on both x and y axis positive and negative

step-by-step explanation: