I am having trouble with these set of questions. If I can please receive help thank you.

Math 150, Spring 2021 El Camino College G. Sung Chapter 11: Worksheet Section 11.1: Goodness-of-Fit 1: Conduct the hypothesis test and provide the test statistic, critical value and pvalue. Then state the conclusion. A person drilled a hole in a die and lled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively 30, 32, 47, 4D, 28, 23. Use a 0.025 signicance level to test the claim that the outcomes are not equally likely. test statistic = 11.38, p-value = 03443450749 2: Post Position 1 2 3 4 5 6 7 8 9 10 mmmmmm The table above lists the frequency of wins for different post positions in a horse race. A post position of 1 is closest to the inside rail, so that horse has the shortest distance to rim. Use a 0.05 signicance le\ el to test the claim that the likelihood of winning is the same for the different post positions. test statistic = 1136725664, pvalue = 02208966299 3: Color Red Orange Yellow Brown Blue Green Number in Package 12 24 6 1.0 2? 21 A company claims that its packages of 100 candies are distributed with the following color percentages: 13% red, 21% orange, 13% yellow, 13% brown, 24% blue, 16% green. Use the given sample data above to test the claim that the color distribution is as claimed. Use a 0.10 signicance level. test statistic = 6.904532967, pvalue = 02273375399 4: Students at this college have the opportunity to evaluate their professors each semester. In the department of Mathematics, the distribution of ratings when the students were Math 150, Spring 2021 El Camino College G. Song asked to give an overall rating of their professor's performance was as follows: 58% with rating of 5, 24% with rating of 4 and 18% with rating of 3 or below. In Fall 2019, Dr X had 59 students in all his courses and his rating on this question were: 37 with rating of 5, 9 with rating of 4 and 13 with rating of 3 or below. Use a 0.10 significance level to test the claim that Professor X's evaluations is different from the Math department as a whole. test statistic = 2.639554517, p-value = 0.2671948108 Section 11.2: Contingency Tables 5: Result from a civil servant exam are shown in the table below: Passed Failed White Candidates 20 15 Minority Candidates 10 27 Use a 0.05 significance level to test the claim that the results from the test are discrimi natory (this means not independent). 6: Sometimes, the order in which a question is asked makes a difference in how it is answered. For example, if you ask people if they prefer chocolate or strawberry ice cream, you might get different answers than if you asked them if they prefer strawberry or chocolate ice cream. 75 randomly selected people were asked, "Do you prefer chocolate or strawberry?" and 75 randomly selected people were asked, "Do you prefer strawberry or chocolate?". The results are given in the following table: RESPONSE: RESPONSE: PREFER PREFER CHOCOLATE CHOCOLATE Question: Do you 42 33 prefer chocolate or strawberry? Question: Do you 34 41 prefer strawberry or chocolate? Use a 0.05 significance level to test the claim that the answer depends on the way the question is being asked. (This means not independent)."The value of r is the proportion of the variation in y that is explained by the linear relationship between x and y." You must replace x and y. from the content of the question accordingly. 1) The table shows the height of a young tree from 1995 to 2001. Years since 1995 0 6 Height (feet) 5.1 6.4 9 11.6 12.9 2) A BMI of 30 or greater can create an increased risk of developing medical problems associated with obesity. The table shows the height and weight for individuals who have a BMI of 30. Height (in) 61 65 67 72 73 Weight (lbs) 160 180 190 220 230 3) The table shows the weight loss of a person over a time. Weeks 0 3 5 7 Weight (lbs) 219 214 216 205 199