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 , 0.80). i. based on the interval, what is the decision for testing Hop-P,=0 against H 1:p,-P,0 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 1:p,- P70 at 10% significant levels OReject the null hypothesis Ocannot be determine OFail to reject the null hypothesis

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 (0.53,0.80).
i. based on the interval, what is the decision for testing H0p-P,=0 against H 1:p,-P0 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,- p,70 at 10% significant levels
OReject the null hypothesis
Ocannot be determine
OFail to reject the null hypothesis
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 (0.53,0.80). i. based on the interval, what is the decision for testing H0p-P,=0 against H 1:p,-P0 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,- p,70 at 10% significant levels OReject the null hypothesis Ocannot be determine OFail to reject the null hypothesis
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