Question

2. 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. Üse a 10% level of significance to test the claim that the natural distribution of browse fits the deer feeding pattern. Observed Number of Deer Feeding on This Plant Plant Composition in Study Area. Type of Browse 102 32% Sage brush 125 39% Rabbit brush 43 12% Salt brush 27 96 Service berry 23 8% Other

Answer 1

The null and alternative hypotheses are: The plant composition is 32% - Sage brush, H 39%-Rabbit Brush, 12% - Salt Brush 9%- Service berry, 8%-Other H Atleast The calculation of expected value is: Sage Brush 320x 0.32 102.4 Rabbit Brush 320x 0.39-124.8 percentage is different one Salt Brush 320 x0.12 -38.4 Service Brush 320x 0.09 28.8 = Other 320 x0.08-25.6 = The formula and calculation of the test statistic is: (Observed - Expected - Expected (102-102.4) (125-124.8 (43-384) (27-28.8 (23-25.6) 102.4 124.8 38.4 28.8 25.6 0.93 are 5 1 4 The degrees of freedom The calculation of p-value in Excel is CHISQ.DIST.RT(0.93,4) D F 0.920218 The p-value is 0.9202. Since the p-value is greater than the level of significance, do not reject the null hypothesis and conclude that the natural distribution of browse fits the deer feeding pattern Activate Windows