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This is the question : A researcher conducted an investigation into whether there is an association between handedness and performance in a driving test. Handedness refers to whether you are predominantly right-handed or left-handed.

The performance of everyone taking a driving test in the town of Colchester during a five-day period was recorded (pass, or fail). For all of these people, handedness (left, or right) was determined by asking them which hand they write with. The results are shown below.

Handedness Driving Test Performance

Pass Fail

Left 9 7

Right 27 53

(a) Carry out a chi-square test for contingency tables to determine whether there is a statistically significant association between handedness and driving test performance. SHOW YOUR WORKING in the space provided (continue over the page if necessary) and report your value for chi-square correct to 2 decimal places. Complete parts (i) to (v) on the following page.

(i) Value of x2 = __________ (2 d.p.)

(ii) Degrees of freedom for this test = __________

(iii) The critical value of x2 for this test = __________

(iv) Select ALL that apply by placing an X under each option: p > .05 p < .05 p < .025 p < .01 p < .001

(v) Write TRUE or FALSE next to each statement below

There is a significant association between handedness and test performance

There is no significant association between handedness and test performance

The proportion of people passing is significantly higher for left-handed people than for right handed people

The proportion of people passing does not differ significantly between left-handed and right-handed people

The proportion of people passing is significantly higher for right-handed people than for left handed people

Thank you so much!

This is the question : A researcher conducted an investigation into whether there is an association between handedness and performance in a driving test. Handedness refers to whether you are predominantly right-handed or left-handed.

The performance of everyone taking a driving test in the town of Colchester during a five-day period was recorded (pass, or fail). For all of these people, handedness (left, or right) was determined by asking them which hand they write with. The results are shown below.

Handedness Driving Test Performance

Pass Fail

Left 9 7

Right 27 53

(a) Carry out a chi-square test for contingency tables to determine whether there is a statistically significant association between handedness and driving test performance. SHOW YOUR WORKING in the space provided (continue over the page if necessary) and report your value for chi-square correct to 2 decimal places. Complete parts (i) to (v) on the following page.

(i) Value of x2 = __________ (2 d.p.)

(ii) Degrees of freedom for this test = __________

(iii) The critical value of x2 for this test = __________

(iv) Select ALL that apply by placing an X under each option: p > .05 p < .05 p < .025 p < .01 p < .001

(v) Write TRUE or FALSE next to each statement below

There is a significant association between handedness and test performance

There is no significant association between handedness and test performance

The proportion of people passing is significantly higher for left-handed people than for right handed people

The proportion of people passing does not differ significantly between left-handed and right-handed people

The proportion of people passing is significantly higher for right-handed people than for left handed people

Thank you so much!

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