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 Sage brush Rabbit brush Salt brush Service berry Other Plant Composition in Study Area 32% 38.7% 12% 9.3% 8% Observed Number of Deer Feeding on This Plant 108 119 45 25 23 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? 0.05 State the null and alternate hypotheses. O Ho: The distributions are the same. H1: The distributions are different. O Ho: The distributions are different. H1: The distributions are the same. O Họ: The distributions are different. H1: The distributions are different. O Họ: The distributions are the same. H1: The distributions are the same. (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? O Yes No What sampling distribution will you use? Student's t O chi-square binomial uniform O normal What are the degrees of freedom?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 7E: List the sample space of each experiment. Selecting a letter of the alphabet
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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
Sage brush
Rabbit brush
Salt brush
Service berry
Other
Plant Composition
in Study Area
32%
38.7%
12%
9.3%
8%
Observed Number of Deer
Feeding on This Plant
108
119
45
25
23
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?
0.05
State the null and alternate hypotheses.
O Ho: The distributions are the same.
H1: The distributions are different.
O Ho: The distributions are different.
H1: The distributions are the same.
O Họ: The distributions are different.
H1: The distributions are different.
O Họ: The distributions are the same.
H1: The distributions are the same.
(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?
O Yes
No
What sampling distribution will you use?
Student's t
O chi-square
binomial
uniform
O normal
What are the degrees of freedom?
Transcribed Image Text: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 Sage brush Rabbit brush Salt brush Service berry Other Plant Composition in Study Area 32% 38.7% 12% 9.3% 8% Observed Number of Deer Feeding on This Plant 108 119 45 25 23 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? 0.05 State the null and alternate hypotheses. O Ho: The distributions are the same. H1: The distributions are different. O Ho: The distributions are different. H1: The distributions are the same. O Họ: The distributions are different. H1: The distributions are different. O Họ: The distributions are the same. H1: The distributions are the same. (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? O Yes No What sampling distribution will you use? Student's t O chi-square binomial uniform O normal What are the degrees of freedom?
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