A company that manufactures toothpaste is studying five different package designs.
Assuming that one design is just as likely to be selected by a consumer as any other design, what selection probability would you assign to each of the package designs? In an actual experiment, 100 consumers were asked to pick the design they preferred.
The following data were obtained. Do the data confirm the belief that one design is just as likely to be selected as another? Explain.
The probability is the number of favorable outcomes divided by the number of possible outcomes:
It does not appear that the data confirm the belief that one desing is just as likely to be selected as another, because design 4 is preferred 40 times, while design 1 is only preferred 5 times and this is a very large difference in a group of 100.
Probability (one number)
Null hypothesis :
Alternative hypothesis :
It is a two tailed test
Apply chi square test:
Degree of freedom
so, it rejects null hypothesis
We have insufficient evidence to conclude that one design is just as likely to be selected as another.
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How many minutes are there in hours?
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