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Week 4 quiz questions 11-15

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

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