A cereal manufacturer tests their equipment weekly to be assured that the proper amount of cereal is in each box of cereal. The company wants to see if the amount differs from the stated amount on the box. The stated amount on each box for this particular cereal is 12.5 ounces. The manufacturer takes a random sample of 100 boxes and finds that they average 12.2 ounces with a standard deviation of 3 ounces. Is this a one-tailed or two-tailed significance testing situation?

A. One-tailed with an alternative that the machine fills an average greater than 12.5 ounces

B. One-tailed with an alternative that the machine fills an average less than 12.5 ounces

C. Two-tailed with an alternative that the machine fills an average different from 12.5 ounces

D. Whether it is one-tailed or two-tailed will depend on the p-value

A cereal manufacturer tests their equipment weekly to be assured that the proper amount of cereal is in each box of cereal. The company wants to see if the amount differs from the stated amount on the box. The stated amount on each box for this particular cereal is 12.5 ounces. The manufacturer takes a random sample of 100 boxes and finds that they average 12.2 ounces with a standard deviation of 3 ounces. The p-value is then about

A. 3%

B. 16%

C. 32%

D. 62%

Suppose that the null hypothesis is, "The population mean is $200," and the alternative hypothesis is, "The population mean is less than $200." Also, suppose the test statistic value is -0.50, with a p-value of 0.31. The p-value is the probability of:

A. obtaining our test statistic value or a value even smaller, if in fact the population mean is $200

B. obtaining our test statistic value or a value even larger, if in fact the population mean is $200

Suppose that the null hypothesis is, "The population proportion is 0.50," and the alternative hypothesis is, "The population proportion is greater than 0.50." Further, suppose that our test statistic is +1.96, with a p-value of 0.025. The p-value is the probability of

A. obtaining our test statistic value of 1.96 or smaller, if in fact the population proportion is 0.50

B. obtaining our test statistic value of 1.96 or larger, if in fact the population proportion is 0.50