a. Select the appropriate null and alternative hypotheses to test for whether the proportion of late deliveries with the new supplier is less than that of the old supplier. multiple choice 1 H0: p1 − p2 = 0; HA: p1 − p2 ≠ 0 H0: p1 − p2 ≤ 0; HA: p1 − p2 > 0 H0: p1 − p2 ≥ 0; HA: p1 − p2 < 0 b-1. Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) b-2. Find the p-value. multiple choice 2 0.01 ≤ p-value < 0.025 0.025 ≤ p-value < 0.05 p-value < 0.01 0.05 ≤ p-value < 0.10 p-value ≥ 0.10 c. At the 5% significance level, what is the conclusion?
Due to late delivery problems with an existing supplier, the director of procurement at ElectroTech began to place orders for electrical switches with a new supplier as part of a “dualsource” (two-supplier) strategy. Now she wants to revert to a “single-source” (i.e., one supplier) strategy to simplify purchasing activities. She wishes to conduct a test to infer whether the new supplier will continue to outperform the old supplier. Based on recent sample data, she found that 27 of 150 orders placed with the old supplier arrived late, whereas 6 of 75 orders placed with the new supplier arrived late. (You may find it useful to reference the appropriate table: z table or t table)
a. Select the appropriate null and alternative hypotheses to test for whether the proportion of late deliveries with the new supplier is less than that of the old supplier.
multiple choice 1
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H0: p1 − p2 = 0; HA: p1 − p2 ≠ 0
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H0: p1 − p2 ≤ 0; HA: p1 − p2 > 0
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H0: p1 − p2 ≥ 0; HA: p1 − p2 < 0
b-1. Calculate the value of the test statistic. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
b-2. Find the p-value.
multiple choice 2
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0.01 ≤ p-value < 0.025
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0.025 ≤ p-value < 0.05
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p-value < 0.01
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0.05 ≤ p-value < 0.10
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p-value ≥ 0.10
c. At the 5% significance level, what is the conclusion?
multiple choice 3
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Reject H0; we conclude that the proportion of orders that arrive late with the new supplier is more than the proportion of orders that arrive late with the old supplier.
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Reject H0; we conclude that the proportion of orders that arrive late with the new supplier is less than the proportion of orders that arrive late with the old supplier.
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Do not reject H0; we conclude that the proportion of orders that arrive late with the new supplier is less than the proportion of orders that arrive late with the old supplier.
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Do not reject H0; we conclude that the proportion of orders that arrive late with the new supplier is more than the proportion of orders that arrive late with the old supplier.
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