Unformatted text preview: are observed as follows: J F M A M J J A S O N D 39 28 51 49 48 48 41 39 33 60 48 44 It is claimed that members are born at a constant rate throughout the whole year. Test H : a constant rate against H 1 : the rate may vary from month to month. (a) Evaluate the likelihood ratio for the speciﬁed hypotheses. (b) Calculate the (approximate) pvalue of the generalized likelihood ratio test with the help of Wilk’s Theorem. 3. From each of six batches of seed a random sample of 100 seeds was selected for sowing. The numbers of seeds that failed to germinate in the six samples of 100 seeds were 12, 20, 9, 17, 24, 16. Calculate the pvalue for the Pearson chisquared test of the hypothesis that the proportion of nongerminating seeds was the same for all batches. Would you reject this hypothesis at 0.05 signiﬁcance level? 1...
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 Spring '10
 SMSLee
 Statistics, Probability, Pearson's chisquare test, Likelihoodratio test, Wilk, generalized likelihood ratio

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