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Question 22M.2.HL.TZ2.3b

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Date May 2022 Marks available [Maximum mark: 1] Reference code 22M.2.HL.TZ2.3b
Level HL Paper 2 Time zone TZ2
Command term Calculate Question number b Adapted from N/A
b.
[Maximum mark: 1]
22M.2.HL.TZ2.3b

A group of students used quadrat sampling and the chi-squared test to find out whether the distributions of two plant species were associated with each other or not. These two species were found in the ground vegetation in a woodland ecosystem.

[Source: (left) Pixabay.
(right) Topic, J., n.d. Veronica montana 2. [image online] Available at: http://www.freenatureimages.eu/Plants/
Flora%20S-Z/Veronica%20montana/#Veronica%2520montana%25202%252C%2520Bosereprijs%252C%2520Saxifr
aga-Jasenka%2520Topic.jpg [Accessed 3 December 2019].

The numbers of quadrats with one, both or neither species present were counted and recorded. The observed frequencies from 150 quadrats are shown in the following contingency table.

(b)

To calculate chi-squared, expected values must first be calculated. Assuming that there is no association between the two species, calculate the expected number of quadrats in which both species would be present, showing your working.

 

 

 

 

 

[1]

Markscheme
  1. 70 × 55150 ;
  2. 25.7;

Award [1] for proper values chosen/equation or [1] for answer.