Question

1. COVID 19 statistics as at July 28, 2020: there were 4 426 281 confirmed cases and 151 374 deaths in the United States. There were 30 961 confirmed cases, and 998 deaths in Japan. You need to test if the COVID 19 mortality rate (proportion) in the United States is significantly higher than the mortality rate (proportion) in Japan.

1. Write down the null and alternative hypotheses to be tested. Clearly define the terms used.   

2. What is the type of statistical test procedure that should be used to test the hypotheses? Explain.

        

3. Construct a 95% confidence interval. Test the hypotheses using the confidence interval. Interpret the test result clearly.   

4. Test the hypotheses using the Test Statistic / Critical Value method (you must clearly indicate the test statistic, and the critical value(s) use Take α=5%). Do you get the same answer as part (c)? If your answer is the same as (c), you do not have to interpret again. Otherwise, interpret the test findings.

         

What is the P value of the test? Test the hypotheses using the P value. Take α=5%. Do you get the same answer as parts (c) and (d)? If your answer is the same as (c) and (d), you do not have to interpret again. Otherwise, interpret the test findings.             

Answer 1

Ginn that US d 21 = 15374 ni ☆ = 6926281 Japan 42 = 998 12=30961 @ To test # Null Ho: P = P2 Hi P > P2 # Altenative pooled proportion P is Xit X2 nitra 151374 +998 4426281+3096) = 0.0342 Test statistics A z = Pi-P P(1-P) [Ł + 2 } 151374 1 442628) 998/3096) 0.034240.9658 Lu 426281 + 30961 1.8960 ✓ let = 0.05 (nical value = 1.645 Sind z > 1.645 & Ice Reject Ho at x=0.05 + Yes, there is sufficient evidence that the mortality rake in us is higher than حد in Japan.

© 95 / (I for P.-P2 is [ ² - 2 + Zaiz PCI-1) [1 +1] 998 151374 .4426281 + 1.96 0.0342 x 09658 [12628 t 30961 gogol ( 0.0019648 + 0.00203 C -0.0000667 0.00399329 T co, 0.004 ficant difference in mortality rate » there is significa 의 Test stat 2= 1.8960 Intical valu = 1.645 0.024 20.05 p-value = p [ 23 1896 1 at x=0.05 & Ill reject Ho Conclusion is same as part - © V.