i am doing statistics hw and i am stuck here please help thank you! 1. The types

Question

i am doing statistics hw and i am stuck here please help thank you! 1. The types of browse favored by deer are shown in the following table (The Mule Deer of Mesa Verde National Park, edited by Mierau and Schmidt). More recently volunteers using binoculars observed the feeding habits of a random sample of 320 deer Do these data suggest that the published deer feeding pattern follows the natural distribution of browse (plants), or is there evidence to suggest that the deer favor a particular browse (plant)? Plant Composition Observed Number of Deer Type of Browse in Study Area Feeding on This Plant 30% Sage brush 102 Rabbit brush. 40% 125 Salt brush 10% 43 10% Service berry Other 10%

Explanation / Answer

Solution:

Null Hypothesis (Ho): The published deer feeding pattern does not follow the natural distribution of browse (plants).

Alternative Hypothesis (Ha): The published deer feeding pattern follow the natural distribution of browse (plants).

Expected frequency = Total deer x % of plant composition in study area

Test Statistics

^2 = (O – E)^2/E

^2 = 7.539

Degrees of freedom, df = n – 1 = 5 – 1 = 4

Using chi-square table, the p-value is

P [^2 (4) > 7.539] = 0.11

Since p-value is greater than 0.05 significance level, we fail to reject Ho.

Hence, there is insufficient evidence to conclude that the published deer feeding pattern follow the natural distribution of browse (plants).

observed expected O - E (O - E)² / E 102 96.000 6.000 0.375 125 128.000 -3.000 0.070 43 32.000 11.000 3.781 27 32.000 -5.000 0.781 23 32.000 -9.000 2.531 320 320.000 0.000 7.539

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