document.write( "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.
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document.write( " What is your decision and explain why.\r
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document.write( " a) Ho: μ = 120 Let α = 0.05. Data: x̅ = 130.1 for n = 100, P-value = 0.068
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document.write( " H1: μ ≠ 120\r
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document.write( " b) Ho: σ = 2.8 Let α = 0.01. Data: s = 3.1 for n = 55
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document.write( " H1: σ < 2.8\r
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document.write( " c) Ho: p = 0.68 Let α = 0.05. Data: p̂ = 0.69 for n = 32, test statistic z = 0.09095
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document.write( " H1: p > 0.68\r
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Algebra.Com's Answer #379076 by stanbon(75887)![]() ![]() ![]() 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. \n" ); document.write( "What is your decision and explain why. \n" ); document.write( "a) Ho: μ = 120 Let α = 0.05. Data: x̅ = 130.1 for n = 100, P-value = 0.068 \n" ); document.write( "H1: μ ≠ 120 \n" ); document.write( "---- \n" ); document.write( "Ans: p-value is greater than 5% so fail reject Ho. \n" ); document.write( "------------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "b) Ho: σ = 2.8 Let α = 0.01. Data: s = 3.1 for n = 55 \n" ); document.write( "H1: σ < 2.8 \n" ); document.write( "Ans: No decision as cannot determine test statistic or p-value \n" ); document.write( "--------------------------------------------------------------- \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c) Ho: p = 0.68 Let α = 0.05. Data: p̂ = 0.69 for n = 32, test statistic z = 0.09095 \n" ); document.write( "H1: p > 0.68 \n" ); document.write( "p-value = P(z > 0.09095) = normalcdf(0.09095,100) = 0.4638 \n" ); document.write( "--- \n" ); document.write( "Since the p-value is greater than 5%, fail to reject Ho. \n" ); document.write( "==================== \n" ); document.write( "Cheerd, \n" ); document.write( "Stan H. \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |