SOLUTION: 2. There is adequate information in each of the following to decide whether to reject or fail to reject the null hypothesis. Carefully examine the statements; you should not have

Question 599699: 2. There is adequate information in each of the following to decide whether to reject or fail to reject the null hypothesis. Carefully examine the statements; you should not have to perform any computations.
What is your decision and explain why.
a) Ho: μ = 120 Let α = 0.05. Data: x̅ = 130.1 for n = 100, P-value = 0.068
H1: μ ≠ 120

b) Ho: σ = 2.8 Let α = 0.01. Data: s = 3.1 for n = 55
H1: σ < 2.8

c) Ho: p = 0.68 Let α = 0.05. Data: p̂ = 0.69 for n = 32, test statistic z = 0.09095
H1: p > 0.68

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2. There is adequate information in each of the following to decide whether to reject or fail to reject the null hypothesis. Carefully examine the statements; you should not have to perform any computations.
What is your decision and explain why.
a) Ho: μ = 120 Let α = 0.05. Data: x̅ = 130.1 for n = 100, P-value = 0.068
H1: μ ≠ 120
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Ans: p-value is greater than 5% so fail reject Ho.
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b) Ho: σ = 2.8 Let α = 0.01. Data: s = 3.1 for n = 55
H1: σ < 2.8
Ans: No decision as cannot determine test statistic or p-value
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c) Ho: p = 0.68 Let α = 0.05. Data: p̂ = 0.69 for n = 32, test statistic z = 0.09095
H1: p > 0.68
p-value = P(z > 0.09095) = normalcdf(0.09095,100) = 0.4638
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Since the p-value is greater than 5%, fail to reject Ho.
====================
Cheerd,
Stan H.

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