Perform and interpret a hypothesis test to determine whether the population propo batches is higher than 7%, at the a = 0.05 significance level. Based on this result, does be shut down and reset?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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1. A plant mixes small batches of custom paint. A batch is considered a failure if it doesn't meet
specification; failed batches must be discarded. The company set the maximum acceptable failure rate
as 7%. Samples are regularly taken from the population of batches, to test whether the failure rate is too
high. Any proportion of failed batches higher than 7% results in a temporary shut-down to reset.
The plant quality control analyst took a random sample of 125 batches, and found that 17 of them didn't
meet specification (that is, they were failures).
Perform and interpret a hypothesis test to determine whether the population proportion of failed
batches is higher than 7%, at the a = 0.05 significance level. Based on this result, does the plant need to
be shut down and reset?
Transcribed Image Text:1. A plant mixes small batches of custom paint. A batch is considered a failure if it doesn't meet specification; failed batches must be discarded. The company set the maximum acceptable failure rate as 7%. Samples are regularly taken from the population of batches, to test whether the failure rate is too high. Any proportion of failed batches higher than 7% results in a temporary shut-down to reset. The plant quality control analyst took a random sample of 125 batches, and found that 17 of them didn't meet specification (that is, they were failures). Perform and interpret a hypothesis test to determine whether the population proportion of failed batches is higher than 7%, at the a = 0.05 significance level. Based on this result, does the plant need to be shut down and reset?
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