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). Using binoculars, volunteers observed the feeding habits of a random sample of 320 deer.

Use a 5% level of significance to test the claim that the natural distribution of browse fits the deer feeding pattern.
Please provide the following information.
(a) What is the level of significance? State the null and alternate hypotheses.
(b) Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5? What sampling distribution will you use? What are the degrees of freedom?
(c) Find or estimate the P-value of the sample test statistic.
(d) Based on your answers in parts (a)€“(c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?
(e) Your conclusion in the context of the application.

Transcribed Image Text:

Plant Composition in Study Area Observed Number of Deer Feeding on This Plant Type of Browse Sage brush Rabbit brush Salt brush Service berny Other 32% 38.7% 12% 102 125 43 27 23 9.3% 8%