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1-Prop Hypothesis Test 05 | A drug company claims that fewer than 1% of pills th

ID: 2908699 • Letter: 1

Question

1-Prop Hypothesis Test 05 | A drug company claims that fewer than 1% of pills that it produces and ships fail to retain tu" potency aner 60 days of production. An inspector inspects a shipment of medications to determine the etfficacy 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 .01 H1: p 2 .01 1.0 Ho: p 2 Ho: p .01 3. The P-value for this hypothesis test is 1 4 Since P-value > alpha, we fail to reject Ho 5.0 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 H1: p

Explanation / Answer

Ho: p >= 0.01

Ha: p < 0.01

X = 8 , n = 200

p^ = X/n = 8/200

TS = (p^- p)/sqrt(pq/n)

= -2.83

p-value = P(Z < TS) = 0.002

p-value < 0.05

we reject the null hypothesis

,there is evidence that p < 0.01

2) is correct ,

1, 3 and 4 are incorrect