V V V If i want to claim that \"The proportion of who love the movie among peopl
ID: 3362965 • Letter: V
Question
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If i want to claim that
"The proportion of who love the movie among people who are Gal Gadot's fans is significantly different from the proportion of who love the movie among people who are not Gal Gadot's fans."
n(1)=number ofGal's fan
n(2)=number of not Gal's fan
P(1)=proportion of people who love the movie among Gal's fans
P(2)=proportion of people who dont love the movie among not Gal's fans
n(1)*p(1)<5
n(1)*q(1)<5
n(2)*p(2)>5
n(2)*q(2)>5
What hypothesis test should i conduct?
What formula should I use to get the result?
You can give me some advices on what else can i infer from the data.
Please don't answer if you are not sure.
ID Gal Gadot's fan?(1=fan,0=not fan) love Wonder Woman movie?(1=yes,0=no) 1 0 1 2 0 0 3 1 1V
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25 1 0Explanation / Answer
Here we have to test the hypothesis that,
H0 : p1 = p2 Vs H1 : p1 not= p2
where p1 and p2 are two population proportions.
Here the test is two tailed test.
n1 = number ofGal's fan
n2 = number of not Gal's fan
p1 = proportion of people who love the movie among Gal's fans
p2 = proportion of people who dont love the movie among not Gal's fans
Assumtions for two sample proportion test are,
n1p^, n1q^, n2p^ and n2q^ > 5
where p^ = (x1+x2)/(n1+n2)
q^ = 1-p^
If these conditions are met we can use two sample z-test for proportion.
The test statistic is,
Z = (p1^ - p2^ / sqrt [(p^*q^)/n1 + (P^*q^)/n2]
Now we have to find p-value or critical value for taking the decision.
Alpha = level of significance = 0.05
Decision using p-value :
If P-value < alpha then reject H0 at 5% level of significance otherwise accept H0.
Decision using critical value :
Since test is two sided there are two critical values.
If test statistic > critical value then reject H0 at 5% level of significance otherwise accept H0.
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