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. O Ho: The distributions are the same. H: The distributions are the same. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are different. H,: The distributions are different. O Ho: The distributions are the same. H: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three d- Are all the expected frequencies greater than 5? O Yes No What sampling distribution will you use? O chi-square Student's t normal O binomial O uniform

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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.
Plant Composition
in Study Area
Observed Number of Deer
Type of Browse
Sage brush
Rabbit brush
Feeding on This Plant
90
138
32%
38.7%
12%
Salt brush
43
Service berry
9.3%
8%
24
Other
25
A USE SALT
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.
O H: The distributions are the same.
H,: The distributions are the same.
O H: The distributions are different.
The distributions are the same.
O H: The distributions are different.
The distributions are different.
O Ho: The distributions are the same.
H: 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?
O Yes
O No
What sampling distribution will you use?
O chi-square
O Student'st
O normal
binomial
O uniform
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. Plant Composition in Study Area Observed Number of Deer Type of Browse Sage brush Rabbit brush Feeding on This Plant 90 138 32% 38.7% 12% Salt brush 43 Service berry 9.3% 8% 24 Other 25 A USE SALT 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. O H: The distributions are the same. H,: The distributions are the same. O H: The distributions are different. The distributions are the same. O H: The distributions are different. The distributions are different. O Ho: The distributions are the same. H: 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? O Yes O No What sampling distribution will you use? O chi-square O Student'st O normal binomial O uniform What are the degrees of freedom?
Are all the expected frequencies greater than 5?
O Yes
No
What sampling distribution will you use?
O chi-square
O Student'st
O normal
O binomial
O uniform
What are the degrees of freedom?
(c) Estimate the P-value of the sample test statistic.
O P-value > 0.100
O 0.050 < P-value < 0.100
O 0.025 < P-value < 0,050
O 0.010 < P-value < 0.025
O 0.005 < P-value < 0.010
O P-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?
O Since the P-value > a, we fail to reject the null hypothesis.
O Since the P-value > a, we reject the null hypothesis.
O Since the P-value < a, we reject the null hypothesis.
O Since the P-value < a, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the application.
O At the 5% level of significance, the evidence is sufficient to conclude that the natural distribution of browse does not fit the feeding pattern.
O At the 5% level of significance, the evidence is insufficient to conclude that the natural distribution of browse does not fit the feeding pattern.
Transcribed Image Text:Are all the expected frequencies greater than 5? O Yes No What sampling distribution will you use? O chi-square O Student'st O normal O binomial O uniform What are the degrees of freedom? (c) Estimate the P-value of the sample test statistic. O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.025 < P-value < 0,050 O 0.010 < P-value < 0.025 O 0.005 < P-value < 0.010 O P-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? O Since the P-value > a, we fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. O Since the P-value < a, we reject the null hypothesis. O Since the P-value < a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. O At the 5% level of significance, the evidence is sufficient to conclude that the natural distribution of browse does not fit the feeding pattern. O At the 5% level of significance, the evidence is insufficient to conclude that the natural distribution of browse does not fit the feeding pattern.
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