1-Prop Hypothesis Test 05 A drug company claims that fewer than 1% of pills that it produces and ships fail to retain full potency after 60 days of production. An inspector inspects a shipment of medications to determine the efficacy in terms of the proportion p in the shipment that failed to retain full potency after 60 days of production. To do so, she selects an SRS of 200 pills. Suppose that eight of the 200 pills have failed to retain their full potency. Please select all TRUE statement below. Answer 1. The P-value for this hypothesis test is 1. 2. We reject the drug company's claim that fewer than 1% of pills that it produces and ships fail to retain full potency after 60 days of production. Since P-value > alpha, we fail to reject Ho. 3. 4. 5.0 Ho: p > .01 H1: p < .01 Ho: p < .01 H1: p > .01

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**1-Prop Hypothesis Test 05**

A drug company claims that fewer than 1% of pills that it produces and ships fail to retain full potency after 60 days of production.

An inspector inspects a shipment of medications to determine the efficacy in terms of the proportion \( p \) in the shipment that failed to retain full potency after 60 days of production. To do so, she selects an SRS of 200 pills. Suppose that eight of the 200 pills have failed to retain their full potency.

Please select all TRUE statements below.

**Answer**

1. [ ] The P-value for this hypothesis test is 1.
2. [ ] We reject the drug company's claim that fewer than 1% of pills that it produces and ships fail to retain full potency after 60 days of production.
3. [ ] Since P-value > alpha, we fail to reject Ho.
4. [✔] 

   \( H_0: p \geq 0.01 \)

   \( H_1: p < 0.01 \)

   \( H_0: p < 0.01 \)

   \( H_1: p \geq 0.01 \)
5. [ ] 

This document outlines a hypothesis test regarding the proportion of pills retaining potency after production. The claim under investigation is whether fewer than 1% fail to retain potency. The correct hypothesis statements in item 4 are marked as true.
Transcribed Image Text:**1-Prop Hypothesis Test 05** A drug company claims that fewer than 1% of pills that it produces and ships fail to retain full potency after 60 days of production. An inspector inspects a shipment of medications to determine the efficacy in terms of the proportion \( p \) in the shipment that failed to retain full potency after 60 days of production. To do so, she selects an SRS of 200 pills. Suppose that eight of the 200 pills have failed to retain their full potency. Please select all TRUE statements below. **Answer** 1. [ ] The P-value for this hypothesis test is 1. 2. [ ] We reject the drug company's claim that fewer than 1% of pills that it produces and ships fail to retain full potency after 60 days of production. 3. [ ] Since P-value > alpha, we fail to reject Ho. 4. [✔] \( H_0: p \geq 0.01 \) \( H_1: p < 0.01 \) \( H_0: p < 0.01 \) \( H_1: p \geq 0.01 \) 5. [ ] This document outlines a hypothesis test regarding the proportion of pills retaining potency after production. The claim under investigation is whether fewer than 1% fail to retain potency. The correct hypothesis statements in item 4 are marked as true.
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