In: Statistics and Probability
In a poll, 368 of 600 registered people intended to vote for Jim. With that information, test the hypothesis at a 95% confidence level.Will Null Hypothesis rejected or not
Solution:-
Given that
In a poll, 368 of 600 registered people intended to vote for Jim.
Test the hypothesis at a 95% confidence level. Will Null Hypothesis rejected or not
n = 600
x =368
population proportion
p = 0.6133
1 - p = 0.3867
standard error (S. E) =
S.E = 0.0199
At 95% confidence = 1 - 0.95 = 0.05
critical value at = 1.96
Margin of error E = critical value * S.E
= 1.96 * 0.0199
= 0.039
Confidence interval (C.I) =
= (0.5743 , 0.6523)
The 95% confidence interval is (0.5743 , 0.6523).
Reject null hypothesis if P value < α = 0.05 level of significance
Since 0.6133 > 0.05, hence we reject null hypothesis.
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