Suppose the incidence rate of myocardial infarction (MI)  was 5 per 1000 among 45- to 54-year-old men in 2000.  To look at changes in incidence over time, 5000 men in this  age group were followed for 1 year starting in 2010. Fifteen  new cases of MI were found.   7.12 Using the critical-value method with α = .05, test the  hypothesis that incidence rates of MI changed from 2000  to 2010. 7.13 Report a p-value to correspond to your answer to  Problem 7.12. Suppose that 25% of patients with MI in 2000 died within  24 hours. This proportion is called the 24-hour case-fatality  rate. 7.14 Of the 15 new MI cases in the preceding study,  5 died within 24 hours. Test whether the 24-hour casefatality rate changed from 2000 to 2010 7.15 Suppose we eventually plan to accumulate 50 MI  cases during the period 2010–2015. Assume that the  24-hour case-fatality rate is truly 20% during this period.  How much power would such a study have in distinguishing  between case-fatality rates in 2000 and 2010–2015 if a  two-sided test with significance level .05 is planned? 7.16 How large a sample is needed in Problem 7.15 to  achieve 90% power?   Hi, I need help in  7.14, 7.15, 7.16 the answer of 7.12 and 7.13 as below: 7.12: The test statistic is 1.0067, which is lies between the critical values -1.96 and 1.96. From the decision rule, do not reject the null hypothesis. It can be concluded that the incident rates of MI are same from 2000 to 2010.   7.13: p-value = 0.3141

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Suppose the incidence rate of myocardial infarction (MI) 
was 5 per 1000 among 45- to 54-year-old men in 2000. 
To look at changes in incidence over time, 5000 men in this 
age group were followed for 1 year starting in 2010. Fifteen 
new cases of MI were found.

 

7.12 Using the critical-value method with α = .05, test the 
hypothesis that incidence rates of MI changed from 2000 
to 2010.
7.13 Report a p-value to correspond to your answer to 
Problem 7.12.
Suppose that 25% of patients with MI in 2000 died within 
24 hours. This proportion is called the 24-hour case-fatality 
rate.
7.14 Of the 15 new MI cases in the preceding study, 
5 died within 24 hours. Test whether the 24-hour casefatality rate changed from 2000 to 2010

7.15 Suppose we eventually plan to accumulate 50 MI 
cases during the period 2010–2015. Assume that the 
24-hour case-fatality rate is truly 20% during this period. 
How much power would such a study have in distinguishing 
between case-fatality rates in 2000 and 2010–2015 if a 
two-sided test with significance level .05 is planned?
7.16 How large a sample is needed in Problem 7.15 to 
achieve 90% power?

 

Hi, I need help in  7.14, 7.15, 7.16

the answer of 7.12 and 7.13 as below:

7.12:

The test statistic is 1.0067, which is lies between the critical values -1.96 and 1.96.

From the decision rule, do not reject the null hypothesis.

It can be concluded that the incident rates of MI are same from 2000 to 2010.

 

7.13:

p-value = 0.3141

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