Question 11 Brayden tosses a coin 500 times. Of those 500 times, he observes heads a total of 416 times. Calculations show that the probability of this occurring by chance is less than 0.01, assuming the coin is fair. Determine the meaning of the significance level. Question 14 Fill in the following contingency table and find the number of students who both go to the beach AND go to the mountains. Students do not go to Total Go to the mountains the mountains Select the correct answer below: We expect that 416 of every 500 coin tosses will result in heads. At the 0.01 level of significance, the coin is likely not a fair coin. C There is certainty that the coin is not a fair coin. The results are not statistically significant at the 0.05 level of significance. Question 12 A spinner contains the numbers 1 through 80. What is the probability that the spinner will land on a number that is not a multiple of 11? Give your answer in fraction form. Go to the beach 32 22 54 Do not go to the beach Total 17 10 27 49 32 81 Provide your answer below: Question 15 A group of 140 students at an elementary school were asked if they prefer the color orange to the color green. The results are shown in the table below. Given that a randomly selected survey participant is a male, what is the probability that this student prefers the color.green? Provide your answer below: 73/80 Question 13 Of the following pairs of events, which pair has mutually exclusive events? Select the correct answer below: r rolling a sum greater than 7 from two rolls of a standard die and rolling a 4 for the first throw drawing a 2 and drawing a 4 with replacement from a standard deck of cards rolling a sum of 9 from two rolls of a standard die and rolling a 2 for the first roll drawing a red card and then drawing a black card with replacement from a standard deck of cards Male Female Total Orange 12 50 62 Green 5 73 78 Total 17 123 140 Provide your answer below