What are we testing in this problem? O single mean O single proportion (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.35; H1: p < 0.35 O Ho: H = 0.35; H1: µ > 0.35 O Ho: p = 0.35; H1: p # 0.35 O Ho: p = 0.35; H1: p > 0.35 O Ho: H = 0.35; H1: µ < 0.35 O Ho: H = 0.35; H1: µ # 0.35 (b) What sampling distribution will you use? What assumptions are you making? O The standard normal, since np > 5 and nq > 5. O The Student's t, since np > 5 and ng > 5. O The Student's t, since np < 5 and nq < 5. O The standard normal, since np < 5 and ng < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find (or estimate) the P-value. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 O P-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P- value.

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
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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What are we testing in this problem?
O single mean
O single proportion
(a) What is the level of significance?
State the null and alternate hypotheses.
O Ho: p = 0.35; H1: p < 0.35
O Ho: H = 0.35; H1: µ > 0.35
O Ho: p = 0.35; H1: p # 0.35
O Ho: p = 0.35; H1: p > 0.35
O Ho: H = 0.35; H1: µ < 0.35
O Ho: H = 0.35; H1: µ # 0.35
(b) What sampling distribution will you use? What assumptions are you
making?
O The standard normal, since np > 5 and nq > 5.
O The Student's t, since np > 5 and ng > 5.
O The Student's t, since np < 5 and nq < 5.
O The standard normal, since np < 5 and ng < 5.
What is the value of the sample test statistic? (Round your answer to two
decimal places.)
(c) Find (or estimate) the P-value.
O P-value > 0.250
O 0.125 < P-value < 0.250
O 0.050 < P-value < 0.125
O 0.025 < P-value < 0.050
O 0.005 < P-value < 0.025
O P-value < 0.005
Sketch the sampling distribution and show the area corresponding to the P-
value.
Transcribed Image Text:What are we testing in this problem? O single mean O single proportion (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.35; H1: p < 0.35 O Ho: H = 0.35; H1: µ > 0.35 O Ho: p = 0.35; H1: p # 0.35 O Ho: p = 0.35; H1: p > 0.35 O Ho: H = 0.35; H1: µ < 0.35 O Ho: H = 0.35; H1: µ # 0.35 (b) What sampling distribution will you use? What assumptions are you making? O The standard normal, since np > 5 and nq > 5. O The Student's t, since np > 5 and ng > 5. O The Student's t, since np < 5 and nq < 5. O The standard normal, since np < 5 and ng < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find (or estimate) the P-value. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 O P-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P- value.
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