question on letter D. 6.20year and 55% of those who make $40,000 or more per year said the government shutdown has pet peraffected them personally. A 95% confidence interval for (p<40K – P>40K), where p is the proportion of t1 auwho said the government shutdown has not at all affected them personally, is (-0.16, 0.02). Based on thiinformation, determine if the following statements are true or false, and explain your reasoning if you jdenticthe statement as false.24(a) At the 5% significance level, the data provide convincing evidence of a real difference in the proDortionwho are not affected personally between Americans who make less than $40,000 annually and Americanewho make $40,000 annually.(b) We are 95% confident that 16% more to 2% fewer Americans who make less than $40,000 per vear arenot at all personally affected by the government shutdown compared to those who make $40,000 or moreper year.(c) A 90% confidence interval for (p<40K – p>40K) would be wider than the (-0.16,0.02) interval.(d) A 95% confidence interval for (P240K - p<40K) is (-0.02, 0.16).

(d) The 95% confidence interval for p<40k , p≥40k is (-0.16 , 0.02).If the first sample proportion p<40k is taken as second sample and the second sample proportion p≥40k is taken as first sample. Then the value of upper bound becomes lower with change of sign and lower bound becomes upper with change of sign. That is, the lower bound of confidence interval p≥40k , p<40k becomes -0.02 (upper bound of previous confidence interval with change of sign). The upper bound of confidence interval becomes 0.16 (lower bound of previous confidence interval with change of sign). Thus, the statement is true.