Do these data indicate the insects that located on a plant have any significant

Question

Do these data indicate the insects that located on a plant have any significant preference for locating on any types of plant/s or is the data compatible with the idea that the insects have no preference among these types of plants? Show your work and give the p-value. If you use the software R, it would be helpful if you included your code so that I can compare to find where I went wrong.

In a greenhouse there were 100 plants composed of the following types: 10 type A, 20 type B, 30 type C, and 40 type D. One hundred individuals of a particular type of insect were released into the greenhouse and after 1 hour the type of plant each insect was located on recorded. The resulting data are given below Type of plant-> number of insects-> 4 not found on a plant 10 13 24 49 Do these data indicate the insects that located on a plant have any significant preference for locating on any types of plant/s or is the data compatible with the idea that the insects have no preference among these types of plants? Show your work and give the p-value.

Explanation / Answer

Here H0 : There is no significant preference for insects to sit on any perticular plant.

Ha : There is significant preference for insects to sit on any perticular plant.

SO we will use chi-square test for indpendence.

so CHi - square X2 = 5.9347

for p - value = CHITEST (Observed, expected) = 0.1148

i used EXcel CHITEST here. We can say that insects doesn't have any special preference over plants.

Type of plant Number(0) Plant Insects (Ei) (o - E)^2/E A 10 10 10.4167 0.0167 B 13 20 20.8333 2.9453 C 24 30 31.2500 1.6820 D 49 40 41.6667 1.2907 Sum 96 5.9347

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