Select the correct answer from each drop-down menu. Complete each statement so it will result in the truth value F.

If _, then the graph of a nonproportional relationship passes through the origin.

The point _ if and only if the graph of a proportional relationship intercepts the y-axis at (0, 0).

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).