A survey was conducted of visitors to the Jakarta Fair. For this reason, two groups of samples were taken. The first sample was 500 visitors for women and when they were asked 325 people said they were satisfied with the exhibition at the Jakarta Fair, while the second sample consisted of 700 visitors for gentlemen and 300 of them said they were not satisfied with the exhibition at the Jakarta Fair. the Jakarta Fair. Make a 95% confidence interval to estimate how much the difference between the two populations of visitors who are satisfied with the exhibition at the Jakarta Fair?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A survey was conducted of visitors to the Jakarta Fair. For this reason, two groups of samples were taken. The first sample was 500 visitors for women and when they were asked 325 people said they were satisfied with the exhibition at the Jakarta Fair, while the second sample consisted of 700 visitors for gentlemen and 300 of them said they were not satisfied with the exhibition at the Jakarta Fair. the Jakarta Fair. Make a 95% confidence interval to estimate how much the difference between the two populations of visitors who are satisfied with the exhibition at the Jakarta Fair?
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There are totally 500 visitors for women in which 325 people said they were satisfied with the exhibition at the Jakarta Fair, and there are totally 700 visitors for gentlemen in which 300 of them said they were not satisfied with the exhibition at the Jakarta Fair. the Jakarta Fair.

The proportion of women said they were satisfied with the exhibition at the Jakarta Fair is,

p^1=x1n1=325500=0.65

The proportion of men said they were satisfied with the exhibition at the Jakarta Fair is,

p^2=x2n2=300700=0.4286

Computation of critical value:

1-α=0.95α=0.05α2=0.0251-α2=0.975

The critical value of z-distribution can be obtained using the excel formula “=NORM.S.INV (0.975)”. The critical value is 1.96.

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