A company that produces cranberries knows that about 7% of its cranberries are bruised in the bagging process. They changed their bagging method, and they were curious if the proportion of cranberries bruised was different. They test H0: p = 0.07 versus Ha = p =/= 0.07, where p is the proportion of cranberries bruised, with a random sample of 600 cranberries. They found that 10% of cranberries in the sample were bruised. Those results yielded a test statistic of about z = 2.88 and a P-Value of approximately 0.004. Assume that the conditions for inference were met. Is there sufficient evidence at ? = 0.01 level to conclude that the proportion of cranberries bruised is different than 7%

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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A company that produces cranberries knows that about 7% of its cranberries are bruised in the bagging process. They changed their bagging method, and they were curious if the proportion of cranberries bruised was different. They test H0: p = 0.07 versus Ha = p =/= 0.07, where p is the proportion of cranberries bruised, with a random sample of 600 cranberries. They found that 10% of cranberries in the sample were bruised. Those results yielded a test statistic of about z = 2.88 and a P-Value of approximately 0.004. Assume that the conditions for inference were met. Is there sufficient evidence at ? = 0.01 level to conclude that the proportion of cranberries bruised is different than 7%

 

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