Exhibit Symptom of COVID-19
Study shows that about 70% of the COVID-19 patients have a drycough (which does not bring up any mucus or phlegm). To usehypothesis testing method to check the credibility of this study,you randomly surveyed 25 patients of COVID-19 and 18 of themanswered that they are having dry cough.
1. Refer to Exhibit Symptom of COVID-19. Whatis the value of the test statistics?
2. Refer to Exhibit Symptom of COVID-19. Whichof the followings CAN be used to calculate the answer in Question6? (Select ALL that apply.)
-2*(1 - NORM.DIST( sample proportion, 0.7, std. dev. ofpopulation, 1 ))
-2*(1 - NORM.DIST( 18/25, 0.7, sqrt(0.7*0.3/25), 1 ))
-T.DIST.2T( t-test, 24)
-2*T.DIST.RT( (18/25 - 0.7)/(sqrt(0.7*0.3/25)), 24 )
-1 - BINOM.DIST.RANGE(25, 0.7, 25*0.7-0.5, 25*0.7+0.5)
-2*(1 - NORM.DIST( z-test, 0, 1, 1) )
-2*NORM.S.DIST( z-test, 1)
-2*NORM.DIST( 18/25, 0.7, sqrt(0.7*0.3/25), 1 )
-2*(1 - NORM.S.DIST( z-test, 1))
3. In this question, the symbol \"<=\" means \"\", and \">=\"means \"\".
Suppose you the significance level you have chosen is α=0.09.This corresponds to a critical value to be  [ Select ] .Hence, you will  [ Select ] the null hypothesis H0. Andconclude that, from this sample of 25 patients, thereis  [ Select ] to say that the population proportion ofdry cough symptom is  [ Select ] . This is because thep-value is  [ Select ] the α value, and the relationshipbetween the test statistic and the critical value is  [Select ] .