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he 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 Plant Composition in Study Area 32% Observed Number of Deer Feeding on This Plant 110 109 44 38.7% 12% 9.3% 8% Salt brush Service berry 29 Other 28 A USE SALT se 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 different. H,: The distributions are different. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. Ho: H,: The distributions are different. O Hn: The distributions are the same. H,: 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 O No What sampling distribution will you use? O Student's t O uniform

he 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 Plant Composition in Study Area 32% Observed Number of Deer Feeding on This Plant 110 109 44 38.7% 12% 9.3% 8% Salt brush Service berry 29 Other 28 A USE SALT se 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 different. H,: The distributions are different. O Ho: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. Ho: H,: The distributions are different. O Hn: The distributions are the same. H,: 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 O No What sampling distribution will you use? O Student's t O uniform

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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please complete the blank problem and or ones with a red x next to it

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Yes O No What sampling distribution will you use? O Student'st O uniform chi-square O normal O binomial What are the degrees of freedom? (c) Estimate the P-value of the sample test statistic. 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. 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 s 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. OAt 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:Yes O No What sampling distribution will you use? O Student'st O uniform chi-square O normal O binomial What are the degrees of freedom? (c) Estimate the P-value of the sample test statistic. 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. 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 s 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. OAt the 5% level of significance, the evidence is insufficient to conclude that the natural distribution of browse does not fit the feeding pattern.
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 Salt brush Service berry Other Feeding on This Plant 32% 110 38.7% 109 12% 44 9.3% 29 8% 28 n 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? 0.05 State the null and alternate hypotheses. O Ho: The distributions are different. H,: The distributions are different. OHo: The distributions are different. The distributions are the same. Ho: The distributions are the same. H,: The distributions are different. O Ho: The distributions are the same. 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 O No What sampling distribution will you use? O Student's t uniform chi-square O normal MacBook Pro
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 Salt brush Service berry Other Feeding on This Plant 32% 110 38.7% 109 12% 44 9.3% 29 8% 28 n 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? 0.05 State the null and alternate hypotheses. O Ho: The distributions are different. H,: The distributions are different. OHo: The distributions are different. The distributions are the same. Ho: The distributions are the same. H,: The distributions are different. O Ho: The distributions are the same. 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 O No What sampling distribution will you use? O Student's t uniform chi-square O normal MacBook Pro
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