A small shop is trying to compare the proportion of consumers who prefer buying a pre-made bread and those who prefer fresh bread. They randomly sample daily consumers and asked for their opinion. The shop is then decided to construct a 90% confidence interval for the difference of population proportion and found it equal to (-0.53 , 0.30). i. based on the interval, what is the decision for testing H P1-p2=0 against H 1:p,-P270 at 5% significant levels Ocannot be determine OFail to reject the null hypothesis OReject the null hypothesis ii. using the interval, what is the decision for testing H0P1-p2=0 against H 1;p,-P2#0 at 10% significant levels OReject the null hypothesis OFail to reject the null hypothesis Ocannot be determine

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A small shop is trying to compare the
proportion of consumers who prefer buying a
pre-made bread and those who prefer fresh
bread. They randomly sample daily consumers
and asked for their opinion. The shop is then
decided to construct a 90% confidence
interval for the difference of population
proportion and found it equal to (-0.53 , 0.30).
i. based on the interval, what is the decision for
testing H oP1- P2=0 against H 1:P,-P270
%3D
at 5% significant levels
Ocannot be determine
OFail to reject the null hypothesis
OReject the null hypothesis
ii. using the interval, what is the decision for
testing Hop- P2=0 against H ;P,-Pz#0
at 10% significant levels
OReject the null hypothesis
OFail to reject the null hypothesis
Ocannot be determine
Transcribed Image Text:A small shop is trying to compare the proportion of consumers who prefer buying a pre-made bread and those who prefer fresh bread. They randomly sample daily consumers and asked for their opinion. The shop is then decided to construct a 90% confidence interval for the difference of population proportion and found it equal to (-0.53 , 0.30). i. based on the interval, what is the decision for testing H oP1- P2=0 against H 1:P,-P270 %3D at 5% significant levels Ocannot be determine OFail to reject the null hypothesis OReject the null hypothesis ii. using the interval, what is the decision for testing Hop- P2=0 against H ;P,-Pz#0 at 10% significant levels OReject the null hypothesis OFail to reject the null hypothesis Ocannot be determine
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