Consider again the file Zagat_Houston.jmp of data from the 2015 Zagat restaurant guide. (a) A Houston tourist guidebook states that meals in Houston are not as expensive as some people expect; in fact, the average dinner in Houston costs less than $40. Do the data support this statement? Give a test at 1% level of significance. (b) It's reasonable to consider a rating higher than 23 as being good. Is the probability that a ran- domly chosen Houston restaurant with good ratings in all three categories (Food, Decor, Service) significantly different from 0.2? Use a= 1%. You should have from HW4. Distributions Food23 and Cost35 Frequencies Level Count Prob 0 175 0.75107 1 58 0.24893 Total 233 1.00000 N Missing 0 2 Levels 0 1 Food 23 Decor 23 and service 23 Frequencies Level Count Prob 0 196 0.84120 1 37 0.15880 Total 233 1.00000 N Missing 0 2 Levels 0 1 Cost40 Frequencies Level Count Prob 0 140 0.60086 1 93 0.39914 Total 233 1.00000 N Missing 0 2 Levels 0 O 1 = 0.1588, The 95% CI for r is 0.1588 +1.96. 0.1588(1 0.1588) = (0.1119, 0.2057) 233 2.025 = 1.96, n=233 the 95% CI for r is + 1.96. = (1 ) 233 Distributions Cost40 Frequencies Level Count Prob 0 140 0.60086 1 93 0.39914 Total 233 1.00000 Food23Cost35 Frequencies Level Count Prob 0 175 0.75107 1 58 0.24893 Total 233 1.00000 All23 Frequencies Level Count Prob 0 196 0.84120 1 37 0.15880 Total 233 1.00000 Consider again the file Zagat_Houston.jmp of data from the 2015 Zagat restaurant guide. (a) A Houston tourist guidebook states that meals in Houston are not as expensive as some people expect; in fact, the average dinner in Houston costs less than $40. Do the data support this statement? Give a test at 1% level of significance. (b) It's reasonable to consider a rating higher than 23 as being good. Is the probability that a ran- domly chosen Houston restaurant with good ratings in all three categories (Food, Decor, Service) significantly different from 0.2? Use a= 1%. You should have from HW4. Distributions Food23 and Cost35 Frequencies Level Count Prob 0 175 0.75107 1 58 0.24893 Total 233 1.00000 N Missing 0 2 Levels 0 1 Food 23 Decor 23 and service 23 Frequencies Level Count Prob 0 196 0.84120 1 37 0.15880 Total 233 1.00000 N Missing 0 2 Levels 0 1 Cost40 Frequencies Level Count Prob 0 140 0.60086 1 93 0.39914 Total 233 1.00000 N Missing 0 2 Levels 0 O 1 = 0.1588, The 95% CI for r is 0.1588 +1.96. 0.1588(1 0.1588) = (0.1119, 0.2057) 233 2.025 = 1.96, n=233 the 95% CI for r is + 1.96. = (1 ) 233 Distributions Cost40 Frequencies Level Count Prob 0 140 0.60086 1 93 0.39914 Total 233 1.00000 Food23Cost35 Frequencies Level Count Prob 0 175 0.75107 1 58 0.24893 Total 233 1.00000 All23 Frequencies Level Count Prob 0 196 0.84120 1 37 0.15880 Total 233 1.00000