HYPOTHESIS TEST-
We have to perform Chi-square test for goodness of fit.
We have to test for null hypothesis
against the alternative hypothesis
Our Chi-square test statistic is given by
Here,
Number of categories
Corresponding calculations are as follows.
Degrees of freedom
[Using R-code '1-pchisq(8.6667,4)']
Level of significance
We reject our null hypothesis if
Here, we observe that
So, we cannot reject our null hypothesis.
Hence, based on the given data we can conclude that there is no significant evidence that all the categories of flavors are not the same.
ANSWERS-
49.
Test statistic is
50.
51.
We fail to reject the null hypothesis.
M&Ms/Mars Company, the maker of Skittles, state that each bag of Skittles has the same number...
M&Ms/Mars Company, the maker of Skittles, state that each bag of Skittles has the same number of each flavor in it. Use 0.05 level of significance to test the company's claim. Below is the observed number in a bag of Skittles: Observed Flavors: Lime 8, Lemon 14, Orange 20, Strawberry 10, Grape 8 Expected Flavors: All the categories of flavors are the same. Question 48 (2.34375 points) ✓ Saved What is the expected value of each color of Skittles?
M&Ms/Mars Company, the maker of Skittles, state that each bag of Skittles has the same number of each flavor in it. Use 0.05 level of significance to test the company's claim. Below is the observed number in a bag of Skittles: Observed Flavors: Lime 8, Lemon 14, Orange 20, Strawberry 10, Grape 8 Expected Flavors: All the categories of flavors are the same. Question 52 (2.34375 points) What is the conclusion based on the original claim? At the 0.05 level...
Question: The Mars Wrigley company claims that 20 percent of Skittles candies distributed into boxes are red. Investigate this claim with an appropriate hypothesis test. Use a significance level of α=0.05. Please complete both parts. 1 and 2 1. What is the parameter of interest in this situation and how do you know? Null hypothesis: Alternative hypothesis: Explain why you chose the alternative hypothesis that you did. Color Count (Red-21 Non-Red-73 Total-94) What test should we use for this hypothesis,...
The Skittles company claims that the 5 colors are evenly distributed in each bag. The M&Ms company has removed their color distribution from their website. (The pdf document Percentages of M&Ms Colors is posted in Moodle.) You may use the Goodness of Fit example that is posted in Moodle as a guide. How- yer, your numbers MUST be different. Conduct a goodness of fit hypothesis test to determine whether the distribution of colors in your bag of candy is the...
A coworker claims that Skittles candy contains equal quantities of each color (purple, green, orange, yellow, and red). In other words, 1/5 of all Skittles are purple, 1/5 of all Skittles are green, etc. You, an avid consumer of Skittles, disagree with her claim. Test your coworker's claim at the α=0.01α=0.01 level of significance, using the data shown below from a random sample of 200 Skittles. Which would be correct hypotheses for this test? H0:H0: Red Skittles are cherry flavored;...
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 442442 gram setting. It is believed that the machine is overfilling the bags. A 3939 bag sample had a mean of 446446 grams. Assume the population standard deviation is known to be 2424. Is there sufficient evidence at the 0.10.1 level that the bags are overfilled? Step 1 of 6: State the null and alternative hypotheses. Step 2 of 6: Find the...
A teacher is explaining to her class the concepts of genetics regarding eye color. She assumes that each category will have the same number of students in it. Use a 0.05 level of significance. Here are the results for the class. Observed Eye Colors: Blue=8; Green=3; Brown= 9, Hazel= 4, Expected Eye Colors: All the categories of eye colors are the same. Question 34 (2.63 points) What is the test statistic? Use two decimal places. https://www.socscistatistics.com/tests/goodnessoffit/default2.aspx Question 35 (2.63 points)...
just need help finding p-value ''ill 94% 1:45 PM Question 7 Show Attempt History Current Attempt in Progress People Favarite Skittlees Flavar Skittles area popialar fruity candy with five ditferent flavors (colored green, orange. purple. red, and yellow) sample of people recorded their favorite flavor and the results are shown in the table below. Performa chi-square test, as indicated in the steps bnlow to see whether or not the fiavors are equally popular. Green Orange Piurple Red Yellow Table 1...
A teacher is explaining to her class the concepts of genetics regarding eye color. She assumes that each category will have the same number of students in it. Use a 0.05 level of significance. Here are the results for the class. Observed Eye Colors: Blue=8; Green=3; Brown= 9, Hazel= 4, Expected Eye Colors: All the categories of eye colors are the same. Question 34 (2.63 points) What is the test statistic? Use two decimal places https://www.socscistatistics.com/tests/goodnessoffit/default2.aspx A Question 35 (2.63...
The State Board of Education in Georgia is considering introducing a new initiative to boost the reading levels of fourth graders. The current population mean reading level of a fourth grader is 800 points. To assess the impact of the initiative, the developers were given permission to pilot their ideas in the classrooms of several area elementary schools. At the end of the pilot, a sample of 1000 fourth graders produced an average reading level of 856 points with a...