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 Browse Plant Compositionin Study Area Observed Number of DeerFeeding on This Plant Sage brush           32% 103                 Rabbit brush           38.7% 134                 Salt brush           12% 38                 Service berry             9.3% 23                 Other             8% 22                 Use a 5% level of significance to test the claim that the natural distribution of browse fits the deer feeding pattern. State the null and alternate hypotheses. A)  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.) B) Estimate the P-value of the sample test statistic. C) 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?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.