A breakfast chain that is popular in California is hoping to determine if kids (under the age of 18) andadults (18 and older) have different breakfast preferences? The breakfasts ordered by randomly selectedkids and adults at a popular breakfast chain in California are shown below.Frequencies of Breakfasts for Kids and AdultsWafflesFrench ToastPancakesOmeletsAdults78419876Kids1206410852What can be concluded at the a = 0.10 significance level?a. What is the correct statistical test to use?O IndependenceO Paired t-testGoodness-of-FitO Homogeneityb. What are the null and alternative hypotheses?Но:The distribution of breakfast ordered for kids is not the same as it is for adults.OBreakfast ordered and age are dependent.OBreakfast ordered and age are independent.O The distribution of breakfast ordered for kids is the same as it is for adults.H1:O The distribution of breakfast ordered for kids is not the same as it is for adults.O Breakfast ordered and age are independent.Breakfast ordered and age are dependent.O The distribution of breakfast ordered for kids is the same as it is for adults.c. The test-statistic for this data =(Please round your answer to three decimal places.)

Given information: α=0.10 a) The correct statistical test to use is Homogeneity.b) Null hypothesis: H0: The distribution of breakfast ordered for kids is the same as it is for adults. Alternate hypothesis: HA: The distribution of breakfast ordered for kids is not the same as it is for adults. For this analysis, the significance level is 0.10. Use the sample data to conduct a chi-square test for homogeneity.c) Use the given data to form the excel table: French Toast Expected Or,c-Er,c2Er,c Pancakes Expected Or,c-Er,c2Er,c Waffles Expected Or,c-Er,c2Er,c Omeletes Expected Or,c-Er,c2Er,c Total Adults 78 91.074 1.877 41 48.30 1.102 98 94.754 0.111 76 58.88 4.981 293 Kids 120 106.926 1.598 64 56.70 0.938 108 111.246 0.095 52 69.12 4.242 344 Total 198 198 3.475 105 105 2.040 206 206 0.206 128 128 9.223 637 Applying the chi-square test for homogeneity to sample data, and calculate the degrees of freedom, the expected frequency counts, and the chi-square test statistic. DF=(r -1)×(c-1)=(2-1)×(4-1) =3χ 2=∑(Or,c-Er,c)2Er,c =3.475+2.040+0.206+9.223≈15.945 The P-value is the probability that a chi-square statistic having 3 degrees of freedom is more extreme than 15.495. We use the excel formula, "=CHISQ.DIST.RT(15.945,3)" to determine the P(Χ2 > 15.495) = 0.0012. Decision: Since the P-value (0.0012) is less than the significance level (0.10), we have to reject the null hypothesis. Thus, we conclude that the distribution of breakfast ordered for kids is not the same as it is for adults.

Math

Statistics

A breakfast chain that is popular in California is hoping to determine if kids (under the age of 18) and adults (18 and older) have different breakfast preferences? The breakfasts ordered by randomly selected kids and adults at a popular breakfast chain in California are shown below. Frequencies of Breakfasts for Kids and Adults French Toast 78 120 Pancakes Waffles Omelets Adults 98 108 41 76 Kids 64 52 What can be concluded at the a = 0.10 significance level? a. What is the correct statistical test to use? O Independence O Paired t-test O Goodness-of-Fit O Homogeneity b. What are the null and alternative hypotheses? Но: O The distribution of breakfast ordered for kids is not the same as it is for adults. Breakfast ordered and age are dependent. O Breakfast ordered and age are independent. O The distribution of breakfast ordered for kids is the same as it is for adults. H1: O The distribution of breakfast ordered for kids is not the same as it is for adults. O Breakfast ordered and age are independent. Breakfast ordered and age are dependent. O The distribution of breakfast ordered for kids is the same as it is for adults. c. The test-statistic for this data : (Please round your answer to three decimal places.)

A breakfast chain that is popular in California is hoping to determine if kids (under the age of 18) and adults (18 and older) have different breakfast preferences? The breakfasts ordered by randomly selected kids and adults at a popular breakfast chain in California are shown below. Frequencies of Breakfasts for Kids and Adults French Toast 78 120 Pancakes Waffles Omelets Adults 98 108 41 76 Kids 64 52 What can be concluded at the a = 0.10 significance level? a. What is the correct statistical test to use? O Independence O Paired t-test O Goodness-of-Fit O Homogeneity b. What are the null and alternative hypotheses? Но: O The distribution of breakfast ordered for kids is not the same as it is for adults. Breakfast ordered and age are dependent. O Breakfast ordered and age are independent. O The distribution of breakfast ordered for kids is the same as it is for adults. H1: O The distribution of breakfast ordered for kids is not the same as it is for adults. O Breakfast ordered and age are independent. Breakfast ordered and age are dependent. O The distribution of breakfast ordered for kids is the same as it is for adults. c. The test-statistic for this data : (Please round your answer to three decimal places.)

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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