The types of browse favored by deer are shown in the following table. Using binoculars, volunteers observed the feeding habits of a random sample of 320 deer. Level of significance is 0.05 Type of Browse Plant Composition in Study Area Observed Number of Deer Feeding on This Plant Sage brush           32% 99                 Rabbit brush           38.7% 134                 Salt brush           12% 38                 Service berry             9.3% 25                 Other             8% 24                 a) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

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The types of browse favored by deer are shown in the following table. Using binoculars, volunteers observed the feeding habits of a random sample of 320 deer. Level of significance is 0.05

Type of Browse Plant Composition
in Study Area
Observed Number of Deer
Feeding on This Plant
Sage brush           32% 99                
Rabbit brush           38.7% 134                
Salt brush           12% 38                
Service berry             9.3% 25                
Other             8% 24                

a) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

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Step 1

The chi-square test is a statistical test which is used to check the independence between two variables.

The chi-square test statistic is given by,

Statistics homework question answer, step 1, image 1

Where O denote the observed frequency and E denote the expected frequency.

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