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In a poll, 368 of 600 registered people intended to vote for Jim. With that information,...

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

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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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orchestra answered 1 year ago

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