(a). The population is still all days that Parsnip has been alive, and the parameter of interest is = the proportion of all days in which Parsnip eats all the food he is given. It is conjectured that the proportion of all days that he has been alive that Parsnip eats all the food he is given is 0.75, and of interest is to test this claim versus the alternative that the proportion of all days in which Parsnip eats all the food he is given is less than 0.75. State the appropriate null and alternative hypotheses that should be tested.
(b). A simple random sample of 80 days is selected; 56 of those days Parsnip ate all the food he was given, and the other 24 days he did not eat all the food he was given. If appropriate, use this information to test the hypotheses stated in part (a) at significance level = .10.
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