Help me solve questions 15-17 using the following data ### Chi-Square Test for Independence of US Senators' Party Affiliation and Spending#### Problems 12-17The table below presents data on the number of US Senators from each political party based on their federal spending in three spending categories. The table is intended to aid in the calculation of the Chi-square test for independence, specifically at the 0.05 significance level. The table includes blanks that need to be filled to arrive at both row and column totals. You need to:1. Record the total number of data points for each spending category and political party.2. Perform a Chi-square test to determine whether there is a significant relationship between party affiliation and spending.#### Table: Number of US Senators by Party and Spending Category| | Less than 4 Billion | 4 to 7 Billion | More than 7 Billion | Totals ||------------------|---------------------|----------------|----------------------|--------|| **Democrat** | 12 | 19 | 16 | 47 || **Republican** | 8 | 15 | 22 | 45 || **Totals** | 20 | 34 | 38 | 92 |#### Explanation of the Table:- The rows represent the party affiliation of the Senators (Democrat or Republican).- The columns represent different categories of federal spending: Less than 4 Billion, 4 to 7 Billion, and More than 7 Billion.- The last column provides the total number of Senators for each party.- The last row provides the total number of Senators in each spending category.- The bottom-right cell provides the overall total number of Senators included in the table (92).This setup is integral for computing the expected frequencies and conducting the Chi-square test for the independence of party affiliation and federal spending habits. You will fill in any missing data points and compute the necessary statistical measures to draw a conclusion about the relationship between the variables. ### Statistical Analysis Exercises---#### Problems 18-22**15. Calculate $\chi^2$ for this sample data.**- a. 1.75- b. 2.17- c. 3.02- d. 4.76**Ans.** _______---**16. Instead of using your $\chi^2$ for number 14, let's say $\chi^2$ = 6.0. If the degrees of freedom is 2, what is the p-value for this problem? (If you use the table in the book, choose the value below that fits in the range you find.)**- a. 0.050- b. 0.010- c. 0.928- d. 0.298**Ans.** _______---**17. Let's say you fail to reject the Null hypothesis for this problem. Choose the best conclusion.**- a. At $\alpha$ = 0.05, the data indicate that property and spending are independent.- b. At $\alpha$ = 0.01, the data indicate that property and spending are independent.- c. At $\alpha$ = 0.01, the data indicate that property and spending are not independent.- d. At $\alpha$ = 0.05, the data indicate that property and spending are not independent.**Ans.** _______---These exercises involve the application and interpretation of the Chi-square ($\chi^2$) statistic, p-values, and hypothesis testing. Review the relevant statistical concepts and techniques as needed to solve these problems.*Note: There are no graphs or diagrams in the provided text.*

Given data indicates the number of US senators from each party spending federal dollars in each of…

Answered: 15. Calculate x² for this sample data.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The first picture is the question and the second one is what I need help with. Thanks!
(For Questions 25 -27). A consumer group wanted to determine if there was a difference in customer perceptions about prices for a specific type of toy depending on where the toy was purchased. In the local area there are three main retailers: W-Mart, Tag, and URToy. For each retailer, the consumer group randomly selected 5 customers, and asked them to rate how expensive they thought the toy was on a 1-to-10 scale (1= not expensive, to 10 = very expensive). The toy was priced the same at all retail stores. The data collected is reported in the table below. W-Mart Tag URToy 8 5 4 9 4 2 10 6 1 9 3 5 9 5 4 MW = 9 MT = 4.6 MU = 3.2 SSW = 2 SST = 5.2 SSU = 10.8 25. What kind of statistical test should be used to test the consumer group's research goal, assuming that the researcher wanted to use the 1-to-10 scale as a numerical interval measure? Group of answer choices No answer text provided. No answer text…
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For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.Part A: What is the term for a generalization made about a population using the data from a sample?Part B: Name one challenge that may occur when using a sample to draw a conclusion about a population.Part C: A researcher collects data about the annual salary of employees who work in the information technology field. It would be difficult to survey all employees, so a sample of the population is surveyed. The data is recorded below. Use the table to write one conclusion that can be drawn. Explain why this conclusion is valid. Salary Range (Per Year) Number of Employees $50,000-$59,999 147 $60,000-$69,999 159 $70,000-$79,999 225 $80,000-$89,999 27
Would you like a cup of tea? Carole and Julius are getting ready to open a new cafe and are gathering up information about sales of different drinks in their state. They obtain data containing the yearly sales (in $1000s) for three types of tea: Darjeeling, Earl Grey, and Green Tea. A boxplot of the data and a histogram of the sales for all three teas combined is shown below. Note: Clicking on any image in this problem will open it in a new window, allowing you to enlarge the view. Tea Sales by Product Combined Tea Sales Darjeeling Earl Grey Green Tea 100 200 300 400 Product Sales in $1000 Part 1: Use the plots above to make quantitative comparisons and answer the following questions: Quantity A: The 75th percentile (Q3) of Sales for Darjeeling Tea Quantity B: The 75th percentile (Q3) of Sales for Green Tea Quantity A is greater Quantity A: The median of Sales for Darjeeling Tea Quantity B: The median of Sales for Green Tea Quantity B is greater 00€ 007 Frequency > 000 008 007 Sales in…
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Questions 30 and 31 refer to the following Views on Nuclear Energy Use information . Frequency Response Strongly favor Somewhat favor орpose Strongly oppose A researcher interviewed 411 randomly selected 56 US residents and asked about their views on the use 214 Somewhat 104 of nuclear energy. The table above summarizes the 37 responses of the interviewees. 30. According to the table, p percent of the interviewees responded "somewhat oppose" when asked about their views on the use of nuclear energy. What is the value of p, to the nearest tenth? 31. If the population of the United States was 300 million when the survey was given, based on the sample data for the 411 US residents, what is the best estimate, in millions, of the difference between the number of US residents who somewhat favor or strongly favor the use of nuclear energy and the number of those who somewhat oppose or strongly oppose it? (Round your answer to the nearest whole number.)
For a statistics class project, Jonathan and Crystal held an ice-cream-eating contest. They randomly selected 29 males and 35 females from their large high school to participate. Each student was given a small cup of ice cream and instructed to eat it as fast as possible. Jonathan and Crystal then recorded each contestant's gender and time (in seconds), as shown in the dotplots. : ● Male Female 15 75 90 105 30 45 60 Time to eat ice cream (sec) Do these data give convincing evidence of a difference in the population means at the a = 0.10 significance level? State appropriate hypotheses for performing a significance test. Be sure to define the parameters of interest. = Ho: M1 M2 = 0, Ha M₁ −μ₂ > 0, where μ₁ = the true mean time it takes male students to eat a small cup of ice cream and μ₂ = the true mean time it takes for female students to eat a small cup of ice cream. Ho: M1 - M₂ = 0, Ha M₁ M₂ < 0, where μ₁ = the true mean time it takes male students to eat a small cup of ice cream and…
Solve.
Use the information below to answer questions 27 and 28. Consider again the NCHS-reported mean total cholesterol level in 2002 for all adults is 2003. Suppose a new drug is proposed to lower total cholesterol. A study is designed to evaluate the ecacy of the drug in lowering cholesterol. Fifteen patients are enrolled in the study and asked to take the new drug for 6 weeks. At the end of 6 weeks, each patient’s total cholesterol level is measured and the sample statistics are as follows:n = 15, x̄ = 195.9, and s = 28.7. Is there statistical evidence of a reduction in mean total cholesterol in patients after using the new drug for 6 weeks? 27. The test statistic to be used is ........................................... and the hypotheses to test are?(i). ........................................................................... (ii)................................................................................. 28. Given that the table or the critical value is -2.145, do we accept…

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