A study at Auckland's Green Lane Hospital looked at the effect of length of fast on stomach pH levels. Patients operated on in the morning have shorter fasts than those operated on in the afternoon. A test is conducted to determine whether there is any evidence of a different mean stomach pH level for afternoon patients compared with morning patients. Let µA be the average pH level for the afternoon patients and µM be the average pH level for the morning patients. The following pair of hypotheses is used for the test: H0: µA - µM = 0 vs. Ha: µA - µM ≠ 0. From sample data, a P-value of 0.057 is calculated for the test. Using α (alpha) = 0.05, what are the decision and conclusion from the test? Select one: a.Do not reject Ha; conclude that there is insufficient evidence at α = 0.05 that mean stomach pH is the same in morning and afternoon patients. b.Do not reject H0; conclude that there is insufficient evidence at α = 0.05 that mean stomach pH is different in morning and afternoon patients. c.Reject Ha; conclude that there is sufficient evidence at α = 0.05 that mean stomach pH is the same in morning and afternoon patients. d.Reject H0; conclude that there is sufficient evidence at α = 0.05 that mean stomach pH is different in morning and afternoon patients.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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A study at Auckland's Green Lane Hospital looked at the effect of length of fast on stomach pH levels. Patients operated on in the morning have shorter fasts than those operated on in the afternoon.

A test is conducted to determine whether there is any evidence of a different mean stomach pH level for afternoon patients compared with morning patients. Let µ_A be the average pH level for the afternoon patients and µ_M be the average pH level for the morning patients. The following pair of hypotheses is used for the test: H₀: µ_A - µ_M = 0 vs. H_a: µ_A - µ_M ≠ 0.

From sample data, a P-value of 0.057 is calculated for the test.

Using α (alpha) = 0.05, what are the decision and conclusion from the test?

Select one:

a.Do not reject H_a; conclude that there is insufficient evidence at α = 0.05 that mean stomach pH is the same in morning and afternoon patients.

b.Do not reject H₀; conclude that there is insufficient evidence at α = 0.05 that mean stomach pH is different in morning and afternoon patients.

c.Reject H_a; conclude that there is sufficient evidence at α = 0.05 that mean stomach pH is the same in morning and afternoon patients.

d.Reject H₀; conclude that there is sufficient evidence at α = 0.05 that mean stomach pH is different in morning and afternoon patients.

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