A food scientist conducting a study to investigate the nutritional habits of teenagers in a city selected a random sample of 100 teenagers in the city. Each of the 100 teenagers was asked to complete a survey with questions about age and the number of ounces of carbonated drinks consumed on the previous day. Assuming the conditions for inference have been met, which of the following is an appropriate test and alternative hypothesis to use to investigate whether the average number of ounces of carbonated drinks consumed in a day increases with age for teenagers in the city? (A) A t-test for the slope of a regression model with alternative hypothesis: H₁: ẞ>0 (B) A t-test for the slope of a regression model with alternative hypothesis: Ha ẞ<0 (C) A t-test for the slope of a regression model with alternative hypothesis: H₁: B=0 (D) A one-sample z-test for a population proportion with alternative hypothesis: Ha p>0.5 A two-sample t-test for a difference of two population means with alternative hypothesis: (E) Ha Holder Younger