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2 Find the critical values from the x distribution that should be used in a goodness-of-fit test at the 10% significance level in each of

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2 Find the critical values from the x distribution that should be used in a goodness-of-fit test at the 10% significance level in each of the following situations. a A study is being done to see how much fruit children will choose to eat if given the choice. 360 schoolchildren are each offered a bowl that contains 30 grapes, and are told they can take as many as they want. The number of grapes they take is recorded. It is assumed that the distribution will be binomial. l:]|@ o A new chemical compound has been constructed that has a left-handed form and a right-handed form. It is believed that the two forms are equally likely to occur. To test this, data is gathered as follows. A sample of 30 molecules is chosen, and the number of left-handed molecules is recorded. This is repeated 170 times. :lls o It has been found that 8 different types of beetle and 2 different types of flower are found in 72 fields in one county. It is believed that the distribution of beetles is independent of the distribution of flowers. :lls

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