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Table 8.5: Summary Statistics Product being tested (i.e. cookies, colas etc) Cookers Tissues Number of participants preferring Brand Y Number of participants preferring Brand Z
Table 8.5: Summary Statistics Product being tested (i.e. cookies, colas etc) Cookers Tissues Number of participants preferring Brand Y Number of participants preferring Brand Z Total number of participants, n n = 15+4 = 19 Number of participants x preferring bargain brand J Sample proportion x preferring bargain brand 0. 214. At the 0.05 level of significance, is there evidence in your team's data of a population prefer- ence between the two brands? In other words, is there evidence that p does not equal 0.5, where p = proportion of the population preferring the bargain brand. Using your team's data, carefully conduct and interpret this test of hypothesis on p. P = 0.5 0.21 - 0.50 P = = = 0. 2105 : - 0. 29 JCO.5x(1-0.5)/100) 0.0035 5. Compute and carefully interpret a 95% confidence interval for the population proportion who prefer the bargain brand. 0 . 21 + 1.96 =
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