A report on food science states that younger adults are more likely to see foods with genetically modified in foods were bad for their health, while only 38% of those In the 50 to 64 age group believed this. L USE SALT (a) Are the sample sizes large enough to use the large-sample confidence interval to estimate the difference in the populs Yos - Let pi, - 0.48 and py - 0.38, n, - 175 and n, - 450, where the 1 subscript indicates the age 18-29 g and the 2 subsor Indicates the age 50-64 group. Since n,/, - 84 . ,(1 - 9,) - 191 , my/2 - 171 large enough to use the large-sample confidence interval. b) Estimate the difference in the proportion of adult Americans aged 18 to 29 who believe the foods made with gen ants are bad for their health and the comes anding proportion for adult Americans aged 50 to 64. Use a 90% confidence interval. (Use p, - Py Round your and 0.0282 1 x .1718 x c) Is zero in the confidence Interval? @ Ye NO What does this suggest about the diff ulation proportions? O This means that it is plau population proportions could be equal. This means that it is not plau tion proportions could be equal