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 Observed Number of Deer Type of Browse in Study Area Feeding on This Plant Sage brush 32% 95 Rabbit brush 38.7% 129 Salt brush 12% 40 Service berry 9.3% 32 Other 8% 24 In 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 different. H : The distributions are the same. O Ho: The distributions are the same. H, : The distributions are different. O Ho: The distributions are different. H : The distributions are different. O Ho: 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? Yes O No What sampling distribution will you use? O Student's t O uniform O chi-square normal O binomial What are the degrees of freedom? (c) Estimate the P-value of the sample test statistic. O P-value > 0.100 O 0.050 a, we fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. Since the P-value s a, we reject the null hypothesis. 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. At the 5% level of significance, the evidence is insufficient to conclude that the natural distribution of browse does not fit the feeding pattern