document.write( "Question 472941: 1. A company that produces flashlight batteries wishes to know what percentage of its batteries will last longer than 30 hours. It selects and tests a random sample of 1,100 batteries. Of these batteries, 1,065 last 30 hours or more.\r
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document.write( "Find the 95% confidence interval for the percentage of batteries that last 30 hours or more. Please round the answers to the nearest tenth.\r
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document.write( "a. 95.5% to 97.9%
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document.write( "b. 95.8% to 98.2%
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document.write( "c. 95.5% to 98.2%
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document.write( "d. 95.8% to 97.9%
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document.write( "e. 95.9% to 97.7%\r
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document.write( "2. Find the standard error for a sample proportion of 50%, given the following sample size. 50\r
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document.write( "a. s 0.070
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document.write( "b. s 0.062
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document.write( "c. s 0.071
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document.write( "d. s 0.083
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document.write( "e. s 0.056
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Algebra.Com's Answer #324301 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 1. A company that produces flashlight batteries wishes to know what percentage of its batteries will last longer than 30 hours. It selects and tests a random sample of 1,100 batteries. Of these batteries, 1,065 last 30 hours or more. \n" ); document.write( "Find the 95% confidence interval for the percentage of batteries that last 30 hours or more. Please round the answers to the nearest tenth. \n" ); document.write( "--- \n" ); document.write( "sample proportion: 1065/1100 = 0.968 \n" ); document.write( "ME = 1.96*sqrt[0.968*0.032/1100] = 0.010 \n" ); document.write( "--- \n" ); document.write( "95% CI: 0.968-0.010 < p < 0.968+0.010 \n" ); document.write( "--- \n" ); document.write( "95% CI: 0.958 < p < 0.978 \n" ); document.write( "================================ \n" ); document.write( " \n" ); document.write( "a. 95.5% to 97.9% \n" ); document.write( "b. 95.8% to 98.2% \n" ); document.write( "c. 95.5% to 98.2% \n" ); document.write( "d. 95.8% to 97.9% \n" ); document.write( "e. 95.9% to 97.7% \n" ); document.write( "=============================== \n" ); document.write( "2. Find the standard error for a sample proportion of 50%, given the following sample size. 50 \n" ); document.write( "--- \n" ); document.write( "std of sample proportions: sqrt[0.5*0.5/50] = 0.0707.. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "====================== \n" ); document.write( "a. s 0.070 \n" ); document.write( "b. s 0.062 \n" ); document.write( "c. s 0.071 \n" ); document.write( "d. s 0.083 \n" ); document.write( "e. s 0.056\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |