# Exam Style Question

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Question id: 16. This question is similar to one that appeared in an IB Studies paper in 2010. The use of a calculator is allowed.

### Significance

One hundred and sixty students are asked how many portions of fruit or vegetables on average they have per day. The data collected is organized in the following table.

 2 or fewer 3 or 4 More than 4 Total Male 25 35 25 85 Female 22 30 23 75 Total 47 65 48 160

A $$\chi ^2$$ test is carried out at the 5% level of significance.

(a) Write down the null hypothesis, Ho, for this test.

(b) Write down the number of degrees of freedom for this test.

(c) Find the $$\chi ^2_{calc}$$ value for this data.

(d) Find the expected number of females that have more than 4 portions per day (correct to the nearest integer).

(e) Decide whether Ho must be accepted.

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