A special cable has a breaking strength of 800 pounds. The standard deviation of the population is 12 pounds. A researcher selects a random sample of 20 cables and finds that the average breaking strength is 793 pounds. Can the researcher reject the claim that the breaking strength is 800 pounds? Find the p-value. Should the null hypothesis be rejected at α = 0.01? Assume that the variable is normally distributed.
Options:
A) Yes, the researcher can reject the null hypothesis.
B) No, the researcher cannot reject the null hypothesis.
C) The p-value is less than 0.01.
D) The p-value is greater than or equal to 0.01.
