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 \begin{tabular}{|lcc|} \hline Type of Browse & \begin{tabular}{c} Plant Composition \\ In Study Area \end{tabular} & \begin{tabular}{c} Observed Number of Deer \\ Feeding on This Plant \end{tabular} \\ \hline Sage brush & \( 32 \% \) & 99 \\ Rabbit brush & \( 38.7 \% \) & 125 \\ Salt brush & \( 12 \% \) & 46 \\ Service berty & \( 9.3 \% \) & 31 \\ Other & \( 8 \% \) & 19 \\ \hline \end{tabular} 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? \( \square \) State the null and alternate hypotheses. \( H_{0} \) : The distributions are the same. \( H_{1} \) : The distributions are different. \( H_{0} \) : The distributions are different. \( H_{1} \) : The distributions are the same. \( H_{0} \) : The distributions are the same. \( H_{1} \) : The distributions are the same. \( H_{0} \) : The distributions are different. H. : The distributions are different.
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The level of significance for this hypothesis test is given as 5%, which means that there is a 5% risk of concluding that the observed feeding pattern does not fit the natural distribution when it actually does. This is denoted by \( \alpha = 0.05 \). Show more…
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Please provide the following information. (a) What is the level of significance? State the null and alternate hypotheses. (b) Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5 ? What sampling distribution will you use? What are the degrees of freedom? (c) Find or estimate the $P$ -value of the sample test statistic. (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? (e) Interpret your conclusion in the context of the application. Ecology: Deer The types of browse favored by deer are shown in the following table (The Mule Deer of Mesa Verde National Park, edited by Mierau and Schmidt). Using binoculars, volunteers observed the feeding habits of a random sample of 320 deer. Use a $5 \%$ level of significance to test the claim that the natural distribution of browse fits the deer feeding pattern.
Chi-Square and $F$ Distributions
Chi-Square: Goodness of Fit
Please provide the following information. (a) What is the level of significance? State the null and alternate hypotheses. (b) Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than $5 ?$ What sampling distribution will you use? What are the degrees of freedom? (c) Find or estimate the $P$ -value of the sample test statistic. (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? (e) Interpret your conclusion in the context of the application. The types of browse favored by deer are shown in the following table (The Mule Deer of Mesa Verde National Park, edited by Mierau and Schmidt). Using binoculars, volunteers observed the feeding habits of a random sample of 320 deer. Use a $5 \%$ level of significance to test the claim that the natural distribution of browse fits the deer feeding pattern.
Chi-Square and F Distributions
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Percent of U.S. Households Observed Number of Households in the Community Married with children 26% 96 Married, no children 29% 123 Single parent 9% 29 One person 25% 98 Other (e.g., roommates, siblings) 11% 65 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test statistic to three decimal places.) What are the degrees of freedom (c)Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)
Lucas F.
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