Purchase likelihood 18 dash 34 35 dash 44 45 dash 54 55 plus total more likely 223 373 384 404 1384 less likely 26 7 26 13 72 neither more nor less likely 285 210 169 113 777 total 534 590 579 530 2233 (a) what is the probability that a randomly selected individual is 35 to 44 years of age, given the individual is neither more nor less likely to buy a product emphasized as "made in our country"? the probability is approximately 0.270 0.270. (round to three decimal places as needed.) (b) what is the probability that a randomly selected individual is neither more nor less likely to buy a product emphasized as "made in our country," given the individual is 35 to 44 years of age? the probability is approximately nothing. (round to three decimal places as needed.)

Acell phone company offers two plans to its subscribers. at the time new subscribers sign up, they are asked to provide some demographic information. the mean yearly income for a sample of 40 subscribers to plan a is $45,000 with a standard deviation of $9,200. for a sample of 25 subscribers to plan b, the mean income is $64,300 with a standard deviation of $7,100. at the 0.025 significance level, is it reasonable to conclude the mean income of those selecting plan b is larger? assume unequal population standard deviations. hint: for the calculations, assume the plan a as the first sample. what is the decision rule? (negative amount should be indicated by a minus sign. round your answer to 3 decimal places.) compute the value of the test statistic. (negative amount should be indicated by a minus sign. round your answer to 2 decimal places.) what is your decision regarding h0 ? reject h0 fail to reject h0 compute the p-value. less than 0.01 between 0.01 and 0.025 between 0.025 and 0.05 between 0.05 and 0.10 greater than 0.10