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According to a recent poll 43% of Americans would vote for the incumbent president. If a...

According to a recent poll 43% of Americans would vote for the incumbent president. If a random sample of 100 people results in 54% who would vote for the incumbent, test the claim that the actual percentage is 43%. Use a 0.10 significance level. Perform a complete hypothesis test

Math   Statistics-And-Probability   
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Answer #1

H0: p = 0.43 (Claim)

Ha: p 0.43

Test statistics

Z = - p / sqrt(p ( 1 - p) / n)

= 0.54 - 0.43 / sqrt( 0.43 * 0.57 / 100)

= 2.22

This is test statistics value.

Critical value at 0.10 significance level is -1.645, 1.645

Since test statistics value falls in rejection region(That is greater than 1.645), we have sufficient

evidence to reject null hypothesis and support the claim.

We conclude at 0.10 level that we have enough evidence to support the claim that actual percentage is 43%.

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