Recent incidents of food contamination have caused great concern among consumers. An article appearing in a consumer magazine reported that 36 of 80 randomly selected Brand A chickens (Group 1) tested positively for either campylobacter or salmonella (or both), the leading bacterial causes of food- borne disease, whereas, 48 of 80 Brand B chickens (Group 2) tested positive. Do the samples provide enough evidence to conclude the true proportion of all contaminated Brand A chickens would differ from that of the Brand B chickens? Test using the level of significance a = 0.01. Remember to (i) Explicitly give both hypotheses (ii) Calculate the test statistic (ii) (iv) Give the rejection region using the critical value Give a decision

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.