Question

Question 4 of 10 (1 point) Attempt 1 of Unlimited | View question in a popup 11.2 Section Exercise 11 (p-value, table) Preventing heart attacks: Medical researchers performed a comparison of two drugs, clopidogrel and ticagrelor, which are designed to reduce the risk of heart attack or stroke in coronary patients. A total of 6720 patients were given clopidogrel, and 6679 were given ticagrelor. Of the clopidogrel patients, 551 suffered a heart attack or stroke within one year, and of the ticagrelor patients, 654 suffered a heart attack or stroke. Can you conclude that the proportion of patients suffering a heart attack or stroke is greater for ticagrelor? Let P1 denote the proportion of patients suffering a heart attack or stroke with clopidogrel and P2 denote the proportion of patients suffering a heart attack or stroke with ticagrelor. Use the a = 0.05 level of significance and the P-value method. ER Part 1 of 5 ol. State the null and alternate hypotheses. Ho: P1 = P2 H: P1 <P2 This hypothesis test is a left-tailed test.

Answer 1

i am using minitab to solve the problem.

steps :-

stat$1596054544502_blob.png$basic statistics $1596054544483_blob.png$2 proportion $1596054544451_blob.png$ select summarized data from the drop down menu $1596054544497_blob.png$in sample 1 type 551 in number of events , in number of trials type 6720$1596054544489_blob.png$in sample 2 type 654 in number of events , in number of trials type 6679$1596054544509_blob.png$ tick perform hypothesized test $1596054544586_blob.png$ options $1596054544483_blob.png$ in confidence level type 95$1596054544481_blob.png$in hypothesized difference type 0 $1596054544662_blob.png$ select the alternative hypothesis as difference < hypothesized difference $1596054544674_blob.png$ in method select use the pooled estimate of the proportion $1596054544542_blob.png$ok$1596054544657_blob.png$ok.

to round off any value to needed decimal places :-

right click on the value $1596054852498_blob.png$decimal places $1596054852620_blob.png$ select the needed place(here, we will select 4 in p value )

*** SOLUTION ***

hypothesis:-

$H_{0}:p_{1}=p_{2}$

$H_{1}:p_{1}<p_{2}$

this is a left tailed test.

b). the test statistic (z) = -3.22

c). the p value = 0.0006

d).decision:-

p value = 0.0006 <0.05 (alpha)

we reject the null hypothesis.

e).conclusion:-

There is enough evidence to conclude that the proportion of patients suffering a heart attack or stroke is greater in ticagrelor.

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