Apps. and Interpretation for IBDP Maths Ebook 1 | Page 348

Your Practice Set – Applications and Interpretation for IBDP Mathematics
2. 200 children from three different countries are asked to fill in a survey to choose their
most favourite fruits. The following table shows the distribution of the survey results:
Country
Most favourite fruits
Guava Coconut Banana Pineapple
Vietnam 21 20 25 4
Malaysia 19 30 3 17
Thailand 2 15 16 28
A
2
� test for independence is conducted at a 1% significance level.
(a) (i) Write down the null hypothesis of the test.
(b)
(c)
(d)
(ii) Write down the alternative hypothesis of the test.
Write down the degree of freedom of the test.
Find the p -value.
State the conclusion of the test with a reason.
[2]
[1]
[2]
[2]
3. A survey is conducted among a sample of adults aged 18 or above, about their opinion on
whether a new incinerator should be built in the town . The following table shows the
distribution of the survey results:
Age
Preferences
Agree Disagree Neutral Total
18 to 30 2 23 5 30
31 to 60 7 x 10 30
61 or above 20 3 7 30
Total 29 y 22 90
A
2
� test for independence is conducted at a 5% significance level.
(a) Write down the null hypothesis of the test.
(b) Write down the values of x and y .
(c) Write down the degree of freedom of the test.
[1]
[2]
[1]
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