Apps. and Interpretation HL Practice Paper Book | Page 204

10 . The following table shows the number of accidents on a road junction in the last 200 days :
Number of accidents 0 1 2 3 4 5 or more
A
Number of days 16 41 60 43 19 21
2
� goodness of fit test is conducted at a 5 % significance level to determine whether the data can be modelled by Poisson distribution with mean 3 .
( a ) Write down the null hypothesis of the test . [ 1 ]
( b ) Write down the value of the expected frequency of the category “ 5 or more ”.
[ 1 ]
( c ) Write down the degree of freedom of the test . [ 1 ]
2
( d ) Find the value of � calc
, the test statistic .
The critical value is given by 11.070 .
[ 2 ]
( e ) State the conclusion of the test with a reason . [ 2 ]
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