In a survey involving 400 supermarkets around the country, it was found that 136 supermarkets sold a type of toiletries that contains a particular chemical above the level prescribed by the government. (a) Estimate the percentage of supermarkets in the country that sold a type of toiletries containing a particular chemical above the prescribed level. Obtain a 95 % confidence interval for the percentage of supermarkets that sold a type of toiletries containing a particular chemical above the prescribed level. Determine the size of the sample of supermarkets in the country that sold a type of toiletries containing a particular chemical above the prescribed level that can be estimated with an error of less than 2 % with a probability of 0.95. (b) (c)

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