MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 32% 90 38.7% 138 Salt brush 12% 43 Service berry 9.3% 24 Other 8% 25 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 the same. H,: The distributions are the same. O H: The distributions are different. H,: The distributions are the same. O Ho: The distributions are different. H,: The distributions are different. OHo: 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 place 4.801 MacBook Pro esc -> G Search or type URL
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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 32% 90 38.7% 138 Salt brush 12% 43 Service berry 9.3% 24 Other 8% 25 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 the same. H,: The distributions are the same. O H: The distributions are different. H,: The distributions are the same. O Ho: The distributions are different. H,: The distributions are different. OHo: 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 place 4.801 MacBook Pro esc -> G Search or type URL
What sampling distribution will you use? O chi-square O Student's t O binomial O uniform O normal What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. O P-value > 0.100 O 0.050 < P-value < 0.100 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 of independence? O Since the P-value > a, we fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. 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 0.01 level of significance, the evidence is sufficient to conclude that the regional distribution of raw materials doe At the 0.01 level of significance, the evidence is insufficient to conclude that the regional distribution of raw materials d
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Transcribed Image Text:What sampling distribution will you use? O chi-square O Student's t O binomial O uniform O normal What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. O P-value > 0.100 O 0.050 < P-value < 0.100 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 of independence? O Since the P-value > a, we fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. 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 0.01 level of significance, the evidence is sufficient to conclude that the regional distribution of raw materials doe At the 0.01 level of significance, the evidence is insufficient to conclude that the regional distribution of raw materials d
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