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. Type of Browse Plant Compositionin Study Area Observed Number of DeerFeeding on This Plant Sage brush           32% 103                 Rabbit brush           38.7% 134                 Salt brush           12% 38                 Service berry             9.3% 23                 Other             8% 22                 Use a 5% level of significance to test the claim that the natural distribution of browse fits the deer feeding pattern. State the null and alternate hypotheses. 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.) B) Estimate the P-value of the sample test statistic. C) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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.

Type of Browse Plant Composition
in Study Area
Observed Number of Deer
Feeding on This Plant
Sage brush           32% 103                
Rabbit brush           38.7% 134                
Salt brush           12% 38                
Service berry             9.3% 23                
Other             8% 22                

Use a 5% level of significance to test the claim that the natural distribution of browse fits the deer feeding pattern.

State the null and alternate hypotheses.

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.)

B) Estimate the P-value of the sample test statistic.

C) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?

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