Answered: n the last presidential election, a…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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Question

In the last presidential election, a national survey company claimed that no more than 50% (i.e., ≤ 50%) of all registered voters voted for the Republican candidate. In a random sample of 400 registered voters, 204 voted for the Republican candidate.

(a)

State the null and the alternative hypotheses. (Enter != for ≠ as needed.)

H₀:

H_a:

(b)

Compute the test statistic.

(c)

Compute the p-value, and test the hypotheses using a 5% level of significance.

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Do not reject H₀. There is sufficient evidence to deny the survey company's claim.Reject H₀. There is sufficient evidence to deny the survey company's claim. Do not reject H₀. There is insufficient evidence to deny the survey company's claim.Reject H₀. There is insufficient evidence to deny the survey company's claim.

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