A random sample of 100 people was taken. Eighty-five of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 80%. We consider the following sets of hypothesis testing: (A) Ho: p > 0.8; Ha: p ≤ 0.8 (B) Ho: p ≤ 0.8; Ha: p > 0.8 (C) Ho: p > 0.8; Ha: p < 0.8 (D) Ho: p = 0.8; Ha: p ≠ 0.8 Fill in Multiple Blanks: The correct set of hypotheses is . (Enter A, B, C, or D.) The actual value of the test statistic is _____________________. In your answer, show two (2) digits to the right of the decimal point, for example, 1.00, 1.20, 1.22. Apply the appropriate rounding rule if necessary. The p-value is _________________. In your answer, show four (4) digits to the right of the decimal point, for example, 1.0000, 1.2000, 1.2200, 1.2220, 1.2222. Apply the appropriate rounding rule if necessary. At the 10% significance level, we  (reject, do not reject) Ho and conclude that the proportion of the population in favor of Candidate A  (is, is not) significantly greater than 80%.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.
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A random sample of 100 people was taken. Eighty-five of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 80%.

We consider the following sets of hypothesis testing:
(A) Ho: p > 0.8; Ha: p ≤ 0.8
(B) Ho: p ≤ 0.8; Ha: p > 0.8
(C) Ho: p > 0.8; Ha: p < 0.8
(D) Ho: p = 0.8; Ha: p ≠ 0.8

Fill in Multiple Blanks:

The correct set of hypotheses is . (Enter A, B, C, or D.)

The actual value of the test statistic is _____________________. In your answer, show two (2) digits to the right of the decimal point, for example, 1.00, 1.20, 1.22. Apply the appropriate rounding rule if necessary.

The p-value is _________________. In your answer, show four (4) digits to the right of the decimal point, for example, 1.0000, 1.2000, 1.2200, 1.2220, 1.2222. Apply the appropriate rounding rule if necessary.

At the 10% significance level, we  (reject, do not reject) Ho and conclude that the proportion of the population in favor of Candidate A  (is, is not) significantly greater than 80%.

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