A mobile phone company has a new design of smart phone and wants to investigate how customers of different age groups feel about the proposed new design. A market research survey is conducted and the responses are shown in the table below:

\"mu... m... \"nub.- - - .. .. At the 0.10 level of significance, is there evidence of a signicant difference in the feeling about the new design among the three age groups? H0: The 3 independent. H1: The c are not independent. are The : a = [give a value between 0 an correct to 4 decimal places]. The = n = (b) A mobile phone company has a new design of smart phone and wants to investigate how customers of different age groups feel about the proposed new design. A market research survey is conducted and the responses are shown in the table below: Age 35 Like the design 74 15 131 Dislike the design 11 6 35 At the 0.10 level of significance, is there evidence of a significant difference in the feeling about the new design among the three age groups? HO: The independent. H1: The independent. The a = [give a value between 0 and 1 correct to 4 decimal places]. The n = The chosen test statistic is: OZ = + += (p - 7) / V . . . (1 - 1) InConsequently, + and there is evidence that the independent at the 0.10 level of significance. (c) What is significance level? What is the role of significance level in hypothesis testing? Significance level is the probability of committing error, i.e., the probability of + Significance level is used to determine rejecting a false null hypothesis the evidence is needed to reject the null hypothesis. not rejecting a false null hypothesis rejecting a false alternative hypothesis not rejecting a true null hypothesis rejecting a true alternative hypothesis not rejecting a true alternative hypothesis Finish attempt .. not rejecting a false alternative hypothesis utorial 7 rejecting a true null hypothesis Lecture 8 notesAge 35 TOTAL ke the design slike the design TAL nce, the test statistic is found to be [correct to 4 decimal places]. nsequently, and there is evidence that the HO is rejected independent at the 0.10 level of significance. What is sig H1 is rejected s the role of significance level in hypothesis testing? HO is not rejected nificance lev H1 is not rejected ommitting error, i.e., the probability of Significance level is used to determine e smaller the significance level, the + the evidence is needed to reject the null hypothesis.(c) What is significance level? What is the role of significance level in hypothesis testing? Significance level is the probability of committing error, i.e., the probability of + . Significance level is used to determine The smaller the significance level, the the evidence is needed to reject the null hypothesis. stronger weaker Finish attempt .. 7 Jump to... Lecture 8 notesLike the design Dislike the design TOTAL Hence, the test statistic is found to be [correct to 4 decimal places]. evidence that the Consequently, and there is . . . c independent at the 0.10 level of signicance. (c) What is significance level? What is the role of sufficient I in hypothesis testing? Significance level is the probability of committing 3 error, i.e., the probability of 0 e . Significance level is used to determine The smaller the significance level, the e the evidence is needed to reject the null hypothesis. The chosen test statistic is: OZ = + += (p - 1) / V . . . (1 - 1) In Of = + + + (X-1)/ (S/ Vn) Of = + +. (1 - p)/V+ += (1-1:2)1(1- 2) Ox 2 = + + + [ + 0'* ( 4 -of0 - fe)ife OZ = + + . (X- u)/ (0/Vn) and the test should be test. The critical value is lower-tail jive a positive value correct to 4 decimal places]. upper-tail The decision rule is the two-tail Reject if Do not reject otherwise.The critical value is [give a positive value correct to 4 decimal places]. The decision rule is then: Reject if Do not reject otherwise. From the given HO expected frequencies can be calculated using and are shown in the table below: H1 Age 35 TOTAL Like the design Dislike the design TOTALis significance level? What is the role of significance level in hypothesis testing? ce level is the probability of committing error, i.e., the probability of Significance level is used to determine er the significance level, the the evidence is needed to reject the whether a test is one-tail or two-tail HO and H1 the test statistic the critical value the degree of freedom Tmish attempt ... Jump to... Lecture 8 notesbelow: Age 35 TOTAL Like the design Dislike the design TOTAL Hence, the test statistic is found to be [correct to 4 decimal places]. Consequently, 3 and there is evidence that the s - independent at the 0.10 level of signicance. (c) What is significance level? What is the role of significance level i are not esting" Significance level is the probability of committing 3 error, i.e are ity of 0 $ . Significance level is used to determine The smaller the significance level, the the evidence is needed to reject the null hypothesis. At the 0.10 level of significance, is there evidence of a signicant difference in the feeling about the new design among the three age groups? H0: The 3 3 independent. H1: The "proportion of like the design" and "age group" : independent. - proportions of "like the design" among the three "age groups" The "proportion of dislike the design" and "age group" 1 CONECt t0 4 decimal places]. _ proportions of "like the design" and "dislike the design" The "feeling about the new design" and "age group" proportions of "dislike the design" among the three "age groups" The the: feelings of "like the design" and "dislike the design" OZ= 4+b(p?r)l\\l4->zr(] ;rr)i"n HO: The independent. H1: The independent. The O = [give a value between 0 and 1 correct to 4 decimal places]. The power of the test level of significance The level of confidence OZ = + + = (p - 1) / V . . . (1 - 1) In Of = + + + (X- 1)/ (S/ Vn) Of = + + + (1 - p) / V+ += (1-12)1 (n- 2) Ox 2 = + + + [ + 0' ( 4 - of0 - fezifeDishke the design 11 6 35 At the 0.10 level of significance, is there evidence of a signicant difference in the feeling about the new design among the three age groups? H0: The 3 9 independent. H1: The : c independent. proportions of "like the design" among the three "age groups" ' 1 correct to 4 decimal places]. feelings of "like the design" and "dislike the design" proportions of "like the design" and "dislike the design" "proportion ofdislike the design" and "age group" proportions of "dislike the design" among the three "age groups" "feeling about the new design" and "age group" "proportion of like the design" and "age group" The chosen Statistic Is. OZ = + + = (p - 1) / V . . . (1 - 1) In Of = at : (X - M) / (S/ Vn ) Of = at* (1 - p) / Vat = ( 1 - 12)1 (n - 2) Ox 2 = + + + [ + 0' r ( 4 - of0 - fe )ife OZ = + + + (X- 1)/(9 test statistic NOT= critical value test statistic > critical value OR test statistic critical value test statistic 35 TOTAL Like the design "proportion of like the design" and "age group" proportions of "like the design" and "dislike the design" proportions of "like the design" among the three "age groups" proportions of "dislike the design" among the three "age groups" timal places]. "feeling about the new design" and "age group" feelings of "like the design" and "dislike the design" "proportion of dislike the design" and "age group" idence that the independent at the 0.10 level of significance. (c) What is significance level? What is the role of significance level in hypothesis testing? Significance level is the probability of committing error, i.e., the probability of Significance level is used to determine The smaller the significance level, the the evidence is needed to reject the null hypothesis.Ox 2 = + + + [ + 0'* ( 1 - + fo - fazlfe OZ = + + + (X- 1)/ (0/ Vn) and the test should be test. The critical value is [give a positive value correct to 4 decimal places]. The decision rule is then: Reject if Do not HO otherwise. H1 From the given data, the expected frequencies can be calculated using and are shown in the table below: Age 35 TOTALAge 35 Like the design 74 15 131 Dislike the design 11 6 35 At the 0.10 level of significance, is there evidence of a significant difference in the feeling about the new design among the three age groups? HO: The independent. H1: The independent. The [give a value between 0 and are 4 decimal places]. are not The n = The chosen test statistic is: OZ = + + = (p - 1) / V . . = 1(1 - 1) Inindependent at the 0.10 level of significance. (c) What is significance level? What is the role of significance level in hypothesis testing? Significance level is the probability of committing error, i.e., the probability of evel is used to determine Type I The smaller the significance level, the Type III ce is needed to reject the null hypothesis. Type II Finish attemp02 = 4 + . (fem/(ax) and the test should be : test. The critical value is [give a positive value correct to 4 decimal places]. The decision rule is then: 0 Reject 3 if Do not reject c otherwise. From the given data, the expected frequencies can be calculated using and are shown in the table below: (column totalrow total) Age ( 21 Age 21 ' 35 Age > 35 _ (row totalcolumn total) Like the design (row total+column total) , column total*n/row total Dislike the design row total*column total row total*n/column total TOTAL