(d) Suppose it had previously been believed that when air void increased by 1 percent, the associated true average change in dielectric constant would be at least -0.055. Does the sample data contradict this belief? Carry out a test of appropriate hypotheses using a significance level of 0.01. State the appropriate null and alternative hypotheses. Ho: ₁-0.055 Ha:-0.055 O Ho: ₁-0.055 H:A-0.055 OH: A₁ = -0.055 H:A-0.055 OH:₁-0.055 H₂:₁ = -0.055 Compute the test statistic value and find the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value= State the conclusion in the problem context. O Reject Ho. There is insufficient evidence to contradict the prior belief. O Reject Ho. There is sufficient evidence to contradict the prior belief. O Fail to reject Ho. There is insufficient evidence to contradict the prior belief. O Fail to reject H. There is sufficient evidence to contradict the prior belief.
(d) Suppose it had previously been believed that when air void increased by 1 percent, the associated true average change in dielectric constant would be at least -0.055. Does the sample data contradict this belief? Carry out a test of appropriate hypotheses using a significance level of 0.01. State the appropriate null and alternative hypotheses. Ho: ₁-0.055 Ha:-0.055 O Ho: ₁-0.055 H:A-0.055 OH: A₁ = -0.055 H:A-0.055 OH:₁-0.055 H₂:₁ = -0.055 Compute the test statistic value and find the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value= State the conclusion in the problem context. O Reject Ho. There is insufficient evidence to contradict the prior belief. O Reject Ho. There is sufficient evidence to contradict the prior belief. O Fail to reject Ho. There is insufficient evidence to contradict the prior belief. O Fail to reject H. There is sufficient evidence to contradict the prior belief.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 32PPS
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