# day21 - Hypothesis Test for a Population Proportion Our...

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Our population proportion is denoted by p . The hypothesized value of the population proportion we will denote by p 0 . We estimate p with the sample proportion ¯ p . We have three diﬀerent sets of hypotheses about p: H 0 : p p 0 H a : p < p 0 H 0 : p p 0 H a : p > p 0 H 0 : p = p 0 H a : p 6 = p 0 Example : A study by Consumer Reports showed that 64% of supermar- ket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they believed that the supermarket ketchup was as good as the na- tional brand ketchup. Formulate the hypotheses that could be used to determine whether the per- centage of supermarket shoppers who believe that the supermarket ketchup was as good as the national brand ketchup diﬀered from 64%. 1

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day21 - Hypothesis Test for a Population Proportion Our...

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