Nitrites are often added to meat products as preservatives. In a study of the effect of these chemicals on bacteria, the rate of uptake of a radio-labeled amino acid was measured for a number of cultures of bacteria, some growing in a medium to which nitrites had been added. Here are the summary statistics from this study. Group n x^- s Nitrite 30 7880 1115 Control 30 8112 1250 Carry out a test of the research hypothesis that nitrites decrease amino acid uptake at the 2% significance level. (Null and Alternate Hypothesis and Rejection Region) [Group 1: Nitrite; Group 2: Control] A. Ho: µ1 = µ2; Ha: µ1 < µ2; Rejection Region: z < -2.05 B. Ho: µ1 = µ2; Ha: µ1 < µ2; Rejection Region: t < -2.15 C. Ho: µ1 = µ2; Ha: µ1 > µ2; Rejection Region: t > 2.15 D. Ho: µ1 = µ2; Ha: µ1 ≠ µ2; Rejection Region: z < -2.33 or z > 2.33 E. Ho: µ1 = µ2; Ha: µ1 ≠ µ2; Rejection Region: t < -2.46 or t > 2.46 (Test Statistic) A. t = -26.130 B. z = -0.759 C. t = -0.746 D. z = -26.130 E. t = -0.759 (p-value and conclusion) A. p = 0.454; FRHo (No sufficient evidence to reject the claim) B. p = 0.227; RHo (Sufficient evidence exists to reject the claim) C. p = 0.227; FRHo (No sufficient evidence to reject the claim) D. p = 0.454; RHo (Sufficient evidence exists to reject the claim) E. p = 0.448; FRHo (No sufficient evidence to reject the claim)
Nitrites are often added to meat products as preservatives. In a study of the effect of these chemicals on bacteria, the rate of uptake of a radio-labeled amino acid was measured for a number of cultures of bacteria, some growing in a medium to which nitrites had been added. Here are the summary statistics from this study.
Group | n | x^- | s |
Nitrite | 30 | 7880 | 1115 |
Control | 30 | 8112 | 1250 |
Carry out a test of the research hypothesis that nitrites decrease amino acid uptake at the 2% significance level.
(Null and Alternate Hypothesis and Rejection Region)
[Group 1: Nitrite; Group 2: Control]
A. Ho: µ1 = µ2; Ha: µ1 < µ2; Rejection Region: z < -2.05
B. Ho: µ1 = µ2; Ha: µ1 < µ2; Rejection Region: t < -2.15
C. Ho: µ1 = µ2; Ha: µ1 > µ2; Rejection Region: t > 2.15
D. Ho: µ1 = µ2; Ha: µ1 ≠ µ2; Rejection Region: z < -2.33 or z > 2.33
E. Ho: µ1 = µ2; Ha: µ1 ≠ µ2; Rejection Region: t < -2.46 or t > 2.46
(Test Statistic)
A. t = -26.130
B. z = -0.759
C. t = -0.746
D. z = -26.130
E. t = -0.759
(p-value and conclusion)
A. p = 0.454; FRHo (No sufficient evidence to reject the claim)
B. p = 0.227; RHo (Sufficient evidence exists to reject the claim)
C. p = 0.227; FRHo (No sufficient evidence to reject the claim)
D. p = 0.454; RHo (Sufficient evidence exists to reject the claim)
E. p = 0.448; FRHo (No sufficient evidence to reject the claim)
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