Question

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91 40 117 921 A researcher is interested in determining whether the type of computer a person primarily uses and their major are dependent. The table below shows the results of a survey. Frequencies of Computer and Majors Science Business Humanities Google Chromebook 96 86 55 Apple Macbook Microsoft Surface Pro 102 27 What can be concluded at the a-0.05 significance level? a. What is the correct statistical test to use? O Paired t-test O Homogeneity Goodness-of-Fit O Independence b. What are the null and alternative hypotheses? H: Computer type and major are independent. The distribution of computer types is the same for each major The distribution of computer types is not the same for each major. Computer type and major are dependent. H: Computer type and major are independent. O The distribution of computer types is not the same for each major. The distribution of computer types is the same for each major. Computer type and major are dependent. c. The test statistic for this data- (Please show your answer to three decimal places.) d. The p-value for this sample - (Please show your answer to four decimal places.)

Answer 1

Page No your Datu Answer: A researcher is interested in determining, whether the type of computer a person primarily uses and their major are dependent below dara seience Google chromebook Apple macbook microsoft Surface pro 96 117 121 Business Humanities Total 86 237 9) 40 248 JO2 27 250 122 tolar 334 279 735 this observed frequency coil correct statistical test is Jest of independence NW) and Alternative Hypother is Ho computer type and major are independent. Hii computer type and major are dependent expected frequency ( Gi D= sow to feel x column torad Grand total expected frequency as below science Business Humanites roral Google Chromebook 107.70 89.96 39.34 237 112,70 Apple Macbook 94.14 41,16 microsoft Surface pool)13.60 94.90 41.50 1248 250 total 334 279 122 1735 Test stanstic y ECOi-E12 wxaneey?. Ei at a = 0.05 level of significance chirsquare test statishia X = 14.059 ©

p-value for sample = 0.0071 p-value = cooo71) less than 0.05 (d) then seject the null Hypothesis. final conclusion is, 09 There is sufficient evidence to conclude that computer type and major are dependent