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 BrowsePlant Composition in Study AreaObserved Number of Deer Feeding on This Plant Sage brush32 90Rabbit brush38 7 127Salt brush12 47Service berry9 3 31Other8 25 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 H 0 The distributions are the same H 1 The distributions are the same H 0 The distributions are the same H 1 The distributions are different H 0 The distributions are different H 1 The distributions are different H 0 The distributions are different H 1 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 Yes No What sampling distribution will you use uniform normal chi square Student's t binomial What are the degrees of freedom (c) Estimate the P value of the sample test statistic P value 0 100 0 050 P value 0 100 0 025 P value 0 050 0 010 P value 0 025 0 005 P value 0 010 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 Since the P value , we fail to reject the null hypothesis Since the P value , we reject the null hypothesis Since the P value , we reject the null hypothesis Since the P value , 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 6 0 28 points BBUnderStat12 10 2 011 My Notes Ask Your Teacher The Fish and Game Department stocked a lake with fish in the following proportions 30 catfish, 15 bass, 40 bluegill, and 15 pike Five years later it sampled the lake to see if the distribution of fish had changed It found that the 500 fish in the sample were distributed as follows CatfishBassBluegillPike 1189521176 In the 5 year interval, did the distribution of fish change at the 0 05 level (a) What is the level of significance State the null and alternate hypotheses H 0 The distributions are the same H 1 The distributions are the same H 0 The distributions are different H 1 The distributions are different H 0 The distributions are the same H 1 The distributions are different H 0 The distributions are different H 1 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 Yes No What sampling distribution will you use uniform normal chi square binomial Student's t What are the degrees of freedom (c) Estimate the P value of the sample test statistic P value 0 100 0 050 P value 0 100 0 025 P value 0 050 0 010 P value 0 025 0 005 P value 0 010 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 Since the P value , we fail to reject the null hypothesis Since the P value , we reject the null hypothesis Since the P value , we reject the null hypothesis Since the P value , 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 insufficient to conclude that current fish distribution is different than that of five years ago At the 5 level of significance, the evidence is sufficient to conclude that current fish distribution is different than that of five years ago

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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

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 BrowsePlant Composition

in Study AreaObserved Number of Deer

Feeding on This PlantSage brush32%90Rabbit brush38.7%127Salt brush12%47Service berry9.3%31Other8%25

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 the same.

H₁: The distributions are the same.

H₀: The distributions are the same.

H₁: The distributions are different.

H₀: The distributions are different.

H₁: The distributions are different.

H₀: The distributions are different.

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?

Yes

What sampling distribution will you use?

uniform

normal

chi-square

Student'st

binomial

What are the degrees of freedom?

P-value > 0.100

0.050 <P-value < 0.100

0.025 <P-value < 0.050

0.010 <P-value < 0.025

0.005 <P-value < 0.010

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?

Since theP-value >, we fail to reject the null hypothesis.

Since theP-value >, we reject the null hypothesis.

Since theP-value, we reject the null hypothesis.

Since theP-value, 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.

-/0.28 points

BBUnderStat12 10.2.011.

My Notes

Ask Your Teacher

The Fish and Game Department stocked a lake with fish in the following proportions: 30% catfish, 15% bass, 40% bluegill, and 15% pike. Five years later it sampled the lake to see if the distribution of fish had changed. It found that the 500 fish in the sample were distributed as follows.CatfishBassBluegillPike1189521176

In the 5-year interval, did the distribution of fish change at the 0.05 level?

(a) What is the level of significance?

State the null and alternate hypotheses.

H₀: The distributions are the same.

H₁: The distributions are the same.

H₀: The distributions are different.

H₁: The distributions are different.

H₀: The distributions are the same.

H₁: The distributions are different.

H₀: The distributions are different.

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?

Yes

What sampling distribution will you use?

uniform

normal

chi-square

binomial

Student'st

What are the degrees of freedom?

P-value > 0.100

0.050 <P-value < 0.100

0.025 <P-value < 0.050

0.010 <P-value < 0.025

0.005 <P-value < 0.010

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?

Since theP-value >, we fail to reject the null hypothesis.

Since theP-value >, we reject the null hypothesis.

Since theP-value, we reject the null hypothesis.

Since theP-value, 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 insufficient to conclude that current fish distribution is different than that of five years ago.

At the 5% level of significance, the evidence is sufficient to conclude that current fish distribution is different than that of five years ago.