I The le 'Sodaicsv' contains survey responses from 339 adults regarding the % of daily liquid intake that is soda ('Soda'), whether or not they are on a diet ('Diet'), their gender ('Gender') and age in years ('Age') Consider the sample to be random and representative of all US adults. Aer reading the data into the data frame soda the tableo Jnction give the following summary information of the Variable 'Diet' versus 'Gender': > table (sodaSGender, soda$DieU No Yes 1 0 2 Female 39 72 58 Male 35 96 36 (a) Use this information to test Whether a majority of females are on a diet. Omit the missing responses. (1)) What is the associated 95% condence interval? How does it agree with the result of the hypothesis test? (o) Are the assumptions behind the hypothesis test and the condence interval satised