Question

The types of browse favored by deer are shown in the following table. Using binoculars, volunteers...

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% 107                
Rabbit brush           38.7% 121                
Salt brush           12% 39                
Service berry             9.3% 29                
Other             8% 24                

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

(a) What is the level of significance?


State the null and alternate hypotheses.

H0: The distributions are different.
H1: The distributions are the same.H0: The distributions are the same.
H1: The distributions are different.    H0: The distributions are the same.
H1: The distributions are the same.H0: The distributions are different.
H1: The distributions are different.


(b) 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.)


Are all the expected frequencies greater than 5?

YesNo    


What sampling distribution will you use?

Student's tuniform    binomialnormalchi-square


What are the degrees of freedom?


(c) Estimate the P-value of the sample test statistic.

P-value > 0.1000.050 < P-value < 0.100    0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.005


(d) 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?

Since the P-value > α, we fail to reject the null hypothesis.Since the P-value > α, we reject the null hypothesis.    Since the P-value ≤ α, we reject the null hypothesis.Since the P-value ≤ α, we fail to reject the null hypothesis.


(e) Interpret your conclusion in the context of the application.

At the 5% level of significance, the evidence is sufficient to conclude that the natural distribution of browse does not fit the feeding pattern.At the 5% level of significance, the evidence is insufficient to conclude that the natural distribution of browse does not fit the feeding pattern.

Homework Answers

Answer #1

The statistical software output for this problem is:

Chi-Square goodness-of-fit results:
Observed: Oi
Expected: Ei

N DF Chi-Square P-value
320 4 0.40055343 0.9824
Observed Expected
107 102.4
121 123.84
39 38.4
29 29.76
24 25.6

Hence,

a) Level of significance = 0.05

Hypotheses: Option B is correct.

b) Test statistic = 0.401

Yes

Chi - square

Degrees of freedom = 4

c) P - value > 0.100

d) Option A is correct.

e) Option B is correct.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The types of browse favored by deer are shown in the following table. Using binoculars, volunteers...
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% 110                 Rabbit brush           38.7% 118                 Salt brush           12% 44                 Service berry             9.3% 23                 Other             8% 25                 Use a 5% level of significance to test the claim that the natural distribution of browse fits the...
The types of browse favored by deer are shown in the following table. Using binoculars, volunteers...
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% 117                 Salt brush           12% 46                 Service berry             9.3% 29                 Other             8% 25                 Use a 5% level of significance to test the claim that the natural distribution of browse fits the...
The types of browse favored by deer are shown in the following table. Using binoculars, volunteers...
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% 107                 Rabbit brush           38.7% 119                 Salt brush           12% 41                 Service berry             9.3% 26                 Other             8% 27                 Use a 5% level of significance to test the claim that the natural distribution of browse fits the...
The types of browse favored by deer are shown in the following table. Using binoculars, volunteers...
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% 98                 Rabbit brush           38.7% 133                 Salt brush           12% 40                 Service berry             9.3% 29                 Other             8% 20                 Use a 5% level of significance to test the claim that the natural distribution of browse fits the...
The types of browse favored by deer are shown in the following table. Using binoculars, volunteers...
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% 106 Rabbit brush 38.7% 123 Salt brush 12% 41 Service berry 9.3% 28 Other 8% 22 Use a 5% level of significance to test the claim that the natural distribution of browse fits the...
The types of browse favored by deer are shown in the following table. Using binoculars, volunteers...
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% 108 Rabbit brush 38.7% 116 Salt brush 12% 47 Service berry 9.3% 28 Other 8% 21 Use a 5% level of significance to test the claim that the natural distribution of browse fits the...
The types of browse favored by deer are shown in the following table. Using binoculars, volunteers...
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% 99                 Rabbit brush           38.7% 127                 Salt brush           12% 43                 Service berry             9.3% 28                 Other             8% 23                 Use a 5% level of significance to test the claim that the natural distribution of browse fits the...
The director of library services at a college did a survey of types of books (by...
The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in Circulation Library on This Subject Number of Books in Sample on This Subject Business 32% 298 Humanities 25% 203 Natural...
The types of raw materials used to construct stone tools found at an archaeological site are...
The types of raw materials used to construct stone tools found at an archaeological site are shown below. A random sample of 1486 stone tools were obtained from a current excavation site. Raw Material Regional Percent of Stone Tools Observed Number of Tools as Current excavation Site Basalt 61.3% 912 Obsidian 10.6% 163 Welded Tuff 11.4% 176 Pedemal chert 13.1% 186 Other 3.6% 49 Use a 1% level of significance to test the claim that the regional distribution of raw...
The director of library services at a college did a survey of types of books (by...
The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in Circulation Library on This Subject Number of Books in Sample on This Subject Business 32% 259 Humanities 25% 225 Natural...