In: Statistics and Probability
When asked the brand name of the chicken in the ad they just watched, 16 participants reported “Fresh and Tasty” brand, 171 reported “Perdue”, and 1 particpant reported “Tyson.” Based on knowledge of the population and previous research, the researchers expected that 90% of participants would guess Perdue with 5% of participants guessing “Fresh and Tasty” and 5% guessing “Tyson.” Is the sample significantly different than the population? Test this question using chi square analysis. Report the chi square statistic and its p-value.
tabulated chi square for 2 degrees of freedom at 5% is 5.991 and at 1% is 9.210 so our value of chi square 12.1595 exceeds both so we reject the null hypothesis.
What is our null hypothesis?
we can state it as data do not differ significantly from the populations as we are testing this only. and we reject this so data differ significantly from the population.
P-value is probability of chi-square exceeding the value we calculated 12.1592 so P(chi-square>12.1595)=0.002
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Thnaks