How can I solve for part "A" of my problem?

Part I: Skittles Project In this project, we will count the number of different colored Skittles. We will use a 2.17oz bag as a reference. We will use the numbers that we obtain from the bag of Skittles. To complete the project. To start, I will count the total and the amount of each colored Skittles. The value that I obtain from the bag of 2.17 oz Skittles Red: _6 Orange: B Yellow: 12 Green: 12 Purple: _12 Total: _50 To continue, I will create a bar graph based on the value I obtain from the bag of Skittles. Which will be used as a reference later. Also a great visual. The amount of different colored Skittles 12 12 10 - Rad Skittles Yalkwe Skittles Number of Skittles man Skittles Purple Skittles Color of the Skittles From this graph, we can determine that the most common color is yellow, green, and purple Skittles. The least common is the red Skittles.ASSIGNMENT ON SKITTLE PROJECT Part A To continue, we gather all of our class sample data from the bags of skittles they purchase. To estimate the population using the compiled data from the entire class. I have completed the frequency table below.. Color frequency Red 513 Orange 501 Yellow 519 Green 481 Purple 485 Total 2499Description PART Part II: Skittles Project 11 This project consists of five parts that you will complete throughout the ser ster, either alone or in small groups. This is the signature assignment for this course. To complete this assignment you will write a paper and upload a pdr. You need to remove project instructions and replace with your own words describing the goal of each section so that a reader not in our class will follow your presentation. At the end of the semester you will combine all of the part of the project into a single file with a narrative so you may want to work on this as we complete each part of the project. For this portion of the project you will need the compiled Skittles Data from all of the students in our Math 1040 class, Look through the ORIGINAL DATA SET (posted below). Notice how the data varies from sample to sample? Not only the quantity of each color varies, but also the total number of Skittles In each bag. Do you notice anything odd? How about the data in rows 29, and 40? Here I noticed that these students had 104 and 106 skittles in their bags. I was considering removing these entires from the data set because it seemed to me that the wrong size bag was purchased. I just dont think 98 and 110 skittles will fit into a 2.17 ounce bag. However, after considering this for a while, I decided to leave the entires there because even though the bags may have been a different size I don't think it would change the underlying proportion of red skittles. Thus, I am leaving them there and computed sample proportion of red skittles p-hat = 513/2499 = 0.205 that you will need for this project. Compiled Skittles Data Set: PDF OF THE DATA SET EXCEL OF THE DATA SET Part II should include: A. Suppose you are Interested in the true population proportion of red Skittles from all bags of skittles produced. It is not possible to gather the data from this population, so we will use our class sample to estimate the population. Using the compile d data from the entire class complete the frequency table below. Check the conditions for computing a 95% confidence interval for P using the class data. State whether or not the conditions are met and whether you believe the results you obtain in step 8 will be valid. Note: Even though the bags of Skittles in the class data set were selected conveniently by students, the Skittles were placed into the bage using an objective device (the machinery at the factory). Color Frequency Red Orange Yellow Gree Purple TOTAL 3. Compute the confidence interval using GeoGebra and Include an Image that shows the inputs you entered and the output that resulted. Write an interpretation of the confidence interval in context. C. Refer to your results from Part I. What was the proportion of red Skittles in your bag? Based on your confidence interval, was your proportion a likely value for the true proportion of red Skittles? Explain. Here we need to remember that likely values for the true proportion of red skittles will be values inside your confidence interval. If you value of phat value from project part 1 is in the Cl then it is a likely value. If it is not in the CI then it is not a likely value. D. Check the conditions for carrying out a two-sided test of whether P = 0-2 using the class data State whether or not the conditions are met and whether you believe the results you obtain in part E will be valid. Note: two of the conditions are the same as the ones you checked in part A, but one condition will require a different calculation. E. Write the hypotheses for the hypothesis test using statistical notation, Compute the hypothesis test using Geodebra and include an image that shows the inputs you entered and the output that resulted. State whether you should reject or fail to reject the null hypothesis using @ = 0.05. Write the conclusion in context. F. Compare your hypothesis test results to the ones you obtained using simulation in Part I. Include the image of your simulation results from Part I again in this part. Did you draw the same conclusions for your hypothesis tests in Part I and Part II? Is one more ralid than the other? Why?PART Part 1: Skittles Project This project consists of five parts that you will complete throughout the semester, either alone or in small groups. This is the signatu purse. To complete this ass ent you will write a word processed paper and upload a siple pit file for each. part of the project. You will need to remove project instructions and replace with your own words describing the goal of each section so that a reader not in our class will follow your presentation. At the end of the semester you will combine all of the parts of the project into a single file with a narrative so you may want to work on this as we complete each part of the project so you do not have to do it at the end of the semester. Part I should include: A Purchase a 2.17-ounce bag of Original Skittles and count the number of candies of each color in the bag Also, give the total number of candies in the bag. Report the values in this format Red:_ Orange: - Yellow. _ Green _ Purple: Total: _ B. Create a bar plot of your results on the vertical scale. Be sure to label both the vertical and horizontal axes appropriately and give your graph a title. You may use Create a Graph Classic linked below or any other program to create your bar plot. Be sure to include it on your file submission in the text of the document and not as a stand alone file. Linke to a great program for created a colored bar graph: Create a Graph Classic C. Answer these questions: 1. What is the most common color and least common color? 2. What is the relative frequency for red Skittles? Note: this is the value for P that you will use in part E below. 3. Conjecture on the proportion (and the number) of red Skittles if you had a bag of 5,000 total Skittles. D. Were the Skittles you used a random sample? Explain. E. Carry out a simulation for red Skittles with 10,000 trials to test of these hypotheses: Ho : p = 0.2 HA :P / 0.2 Use the RossmanChance applet at http:/www.rossmanchance.com/applets/OneProp/Q heProg.him and enter the following settings. I also cluded an image below with a sample of what the settings might look like. Enter 0.2 as the probability of success (heads). Enter the total number of Skittles in your bag as the sample size Enter 10,000 as the number of samples. Then click on "Draw Samples" to do the simulation Have the app compute a two sided p value for your simulation by selecting "Pro tion of Heads" and entering your value for P from Part C above in the "As extreme as" box. Then check the box for the Two- sided" option. The p-value will be printed in red below where it says 'proportion of samples'. Take a snip or screenshot of your output including all your inputs and the graph. Based on your pvalue and C= 0.05. should you reject or fail to reject the null hypothesis? What is the appropriate conclusion in context? Here is an image of a what the Rossman/Chance App settings will roughly look like: Rossman/Chance App mage Remember to give you conclusion in context of the problem. So you might say something like: If your p-value is greater than 0.05, then we will fail to reject the null hypothesis and say "there is not sufficient evidence that the proportions of red skittles is different than 0.20." If your p-value is less than 0.05, then we will reject the null hypothesis and say "there is sufficient evidence that the proportion of red skittles is different than D.20' I hope this helps, "Oremus