A company that produces cranberries knows that about 7% of its cranberries are bruised in the baggin process. They chan their bagging method, and they were curious if the proportion of cranberries bruised was different. They tested They tested Ho: p = 0.07 versus Ha: p> 0.07 where p is the proportion of cranberries bruised. From a random sample of 6 cranberries they found that 60 were bruised. Those results yielded a test statistic of approximately z = 2.88 and a p-value o 0.004. Assume that the conditions for inference were met. Is there sufficient evidence at the a = 0.01 level to conclude that the proportion of cranberries bruised is different than 7% a Yes, because 10% > 7% Yes, because 0.004 < 0.01 No, because 0.004 < 0.01 d. No, because 0.004 < 0.10 e No, because 10% > 7% O O O O O

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A company that produces cranberries knows that about 7% of its cranberries are bruised in the baggin process. They changed
their bagging method, and they were curious if the proportion of cranberries bruised was different. They tested
They tested Ho: p = 0.07 versus Ha: p>0.07 where p is the proportion of cranberries bruised. From a random sample of 600
cranberries they found that 60 were bruised. Those results yielded a test statistic of approximately z = 2.88 and a p-value of
0.004. Assume that the conditions for inference were met.
Is there sufficient evidence at the a = 0.01 level to conclude that the proportion of cranberries bruised is different than 7%
a
Yes, because 10% > 7%
Yes, because 0.004 < 0.01
No, because 0.004 < 0.01
d
No, because 0.004 < 0.10
e
No, because 10% > 7%
ООООО
Transcribed Image Text:A company that produces cranberries knows that about 7% of its cranberries are bruised in the baggin process. They changed their bagging method, and they were curious if the proportion of cranberries bruised was different. They tested They tested Ho: p = 0.07 versus Ha: p>0.07 where p is the proportion of cranberries bruised. From a random sample of 600 cranberries they found that 60 were bruised. Those results yielded a test statistic of approximately z = 2.88 and a p-value of 0.004. Assume that the conditions for inference were met. Is there sufficient evidence at the a = 0.01 level to conclude that the proportion of cranberries bruised is different than 7% a Yes, because 10% > 7% Yes, because 0.004 < 0.01 No, because 0.004 < 0.01 d No, because 0.004 < 0.10 e No, because 10% > 7% ООООО
Expert Solution
Given

alpha = 0.01

p-value = 0.004

 

Decision Rule:

If p-value ≤ α, then reject the null hypothesis.

 

 

 

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