The janitor calculates a p-value for the hypothesis test of approximately 0.113. Choose the correct interpretation for the p-value. The n-value natelu O 11

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter4: Equations Of Linear Functions
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Use the following information to answer the question. A janitor at a large office building believes that his supply of light bulbs has a defect rate that is different than
the defect rate stated by the manufacturer. The janitor's null hypothesis is that the supply of light bulbs has a defect rate of p - 0.09 (the light bulb manufacturer's
stated defect rate). Suppose we do a hypothesis test with a significance level of 0.01. Symbolically, the null and alternative hypothesis are as follows: Ho: p = 0.09 and
Ha:p > 0.09.
The janitor calculates a p-value for the hypothesis test of approximately 0.113. Choose the correct interpretation for the p-value.
O The p-value tells us that the true population rate of defective light buibs is approximately 0.113.
O The p-value tells us that the probability of concluding that the defect rate is equal to 0.09, when in
fact it is greater than 0.09, is approximately 0.113.
O The p-value tells us that if the defect rate is 0.113, then the probability that the janitor will have 33 defective light bulbs out of 300 is approximately 0,113. At a significance levelof
0.01, this would not be an unusual outcome.
O None of these
Transcribed Image Text:Use the following information to answer the question. A janitor at a large office building believes that his supply of light bulbs has a defect rate that is different than the defect rate stated by the manufacturer. The janitor's null hypothesis is that the supply of light bulbs has a defect rate of p - 0.09 (the light bulb manufacturer's stated defect rate). Suppose we do a hypothesis test with a significance level of 0.01. Symbolically, the null and alternative hypothesis are as follows: Ho: p = 0.09 and Ha:p > 0.09. The janitor calculates a p-value for the hypothesis test of approximately 0.113. Choose the correct interpretation for the p-value. O The p-value tells us that the true population rate of defective light buibs is approximately 0.113. O The p-value tells us that the probability of concluding that the defect rate is equal to 0.09, when in fact it is greater than 0.09, is approximately 0.113. O The p-value tells us that if the defect rate is 0.113, then the probability that the janitor will have 33 defective light bulbs out of 300 is approximately 0,113. At a significance levelof 0.01, this would not be an unusual outcome. O None of these
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