A manufacturer claims that the mean weight of their cereal boxes is 500 grams. A quality control inspector suspects that the mean weight is different than claimed. A random sample of 75 cereal boxes has a sample mean of 498 grams with a sample standard deviation of 8 grams. Write the null and alternate hypotheses for the given situation. State the type of test (left-, right-, or two-tailed). Then use the sample information to calculate the test statistic. Do not compute the p-value or state a conclusion. H0: H1: Type: Test Statistic: Show the formula used! According to a recent survey, 72% of college students own a smartphone. A researcher wants to determine if this percentage has changed for students at a particular university. They survey 400 randomly selected students at the university and find that 305 of them own a smartphone. Write the null and alternate hypotheses for the given situation. State the type of test (left-, right-, or two-tailed). Then use the sample information to calculate the test statistic. Do not compute the p-value or state a conclusion. H0: H1: Type: Test Statistic: Show the formula used