I need solve this questions MCQ of Statistics

m Of 266 employees selected randomly from one company, 13.53% of them commute by carpooling. Find the margin of error for a 90% condence interval for the proportion of all employees of the company who carpool. O a. 0.54 O b. 0.53 O c. 0.03 d. 0.43 'I'ravelocity would like to test if the average roundtn'p airfare between New York and London is less than $1,400. A Type I error would occur if Travelocity concludes that the average airfare is O a. $1,400 or more when, in reality, the average airfare is less than $1,400. 0 b. equal to $1,400 when, in reality, the average airfare is not equal $1,400 or more. 0 c. not equal to $1,400 when, in reality, the average airfare is equal to $1,400. 0 d. less than $1,400 when, in reality, the average airfare is $1,400 or more. A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 98% condence interval for the proportion of all New York State union members who favor the Republican candidate. 0 a. 0.316 to 0.430 O b. 0.301to 0.445 O c. 0.308 to 0.438 O :1. 0.304 to 0.442 A sample mean of137, sample standard deviation of 14.2, and sample size of 20, Ho 11:132. H1 11 132, a=0.01 are given. Use the one-mean t-test to perform the required hypothesis test about the mean, 1.1, of the population from which the sample was drawn. Use the P-value approach. Also, assess the strength of the evidence against the null hypothesis. 0 a. Test statistic: t = 1.57. P-value = 0.15.&; Reject the null hypothesis. 0 b. Test statistic:t = 1.57. P-value = 0.158.; Do not reject null hypothesis. 0 0. Test statistic: t = 1.57. P-value = 0058:; Do not reject null hypothesis. 0 d. Test statisticzt =1.57. P~value = 0.05.84 Reject null hypothesis