An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects, prior to using the potatoes to make potato chips. Unless there is clear evidence that this proportion p is less than 0.1, he will reject the shipment. He will test the hypotheses H0:p=0.1 , H:p<0.1 . He selects an SRS of 200 potatoes from the more than 5000 potatoes on the truck. Suppose that 12 of the potatoes sampled are found to have major defects.
If the P ‑value of this test is between 0.01 and 0.05, which of the given statements is true?

A. There is less than a 1% chance of performing this test again and finding results that are at least as extreme as what was observed with this sample.
B. There is less than a 5% chance of performing this test again and finding results that are at least as extreme as what was observed with this sample.
C. There is a less than 5% chance of observing defective potatoes in any given sample.
D. We cannot reject the null hypothesis.

Inez has a phone card. the graph shows the number of minutes that remain on her phone card a certain number of days.

Someone answer this asap for the length, in feet, of a rectangular rug is represented by the expression 5x² + 2x. the width, in feet, is represented by the expression 3x². which expression represents the perimeter, in feet, of the rug? a. 8x² + 2x b. 8x² + 4x c. 16x² + 2x d. 16x² + 4x

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.