Devoir de Philosophie

Statistics Assignment

Publié le 05/12/2012

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ASSIGNMENT 5 1.- The probability may be found from the odds as [pic]. Hence, the probability that Italy wins is [pic], and the probability that Bulgaria wins is [pic]. These two probabilities do not sum to 1. Hence, unless there is the possibility of a tie (not in a World Cup semifinal), the two odds quoted do not agree.

« Workers For 110×130/200=71.5 110×50/200=27.5 110×20/200=11 110 Against 90×130/200=58.5 90×50/200=22.5 90×20/200=9 90 Total 130 50 20 200 Compare the exp ected frequencies to the observed frequencies in the data, we can calculate the observed chi-square statistic: 2.26 The chi-square statistic has degrees of freedom (2-1) x (3-1) = 2 .

With a 5% significance level, the rejection region is (( 5.99, + ∞ ) .

2.26 is not in the rejection region, so we cannot reject the null hypothesis.

There is not enough evidence to infer that the responses differ among the three groups of employees at 5% significance level.. »

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