An observational study based on survey data concluded that individuals who took more vitamin C were able to recover from the flu faster. You want to replicate this study using an experimental approach. The treatment in this experiment might be: Question 21 options: how long it takes to recover from the flu, in days. the change in body temperature over the period of the experiment. the amount of vitamin C taken per day: 0 mg, 1000 mg, 2000 mg, or 3000 mg. whether an individual took vitamin C in a pill form or liquid form. You conduct a hypothesis test and find a P-value of .025. Which of the following is true? Question 22 options: You can reject Ho at the .01 significance level. You can reject Ho at the .05 significance level. You can accept Ho at the .05 significance level. You can say the probability that Ho is true at p = .025. Which of the following is a necessary step in every hypothesis testing procedure using a test statistic? Question 23 options: State the null and alternative hypotheses in the context of the problem. Compute the test statistic and use it to find the p-value. State a conclusion in context of the problem. All of the above are steps in conducting a hypothesis test. Compute a test statistic for a random sample with n = 23, s = 2.33, x(bar) = 15.5 for the test Ho: =14.75, Ha: 14.75 Question 24 options: 1.54 1.96 2.074 1.717 Suppose a study showed that the four most popular pizzas are preferred in the following percentages: Topping Perce nt Cheese 24 Pepper 32 oni Sausag 29 e Veggie 15 You decide to keep track of the next 150 pizzas of these types ordered at the restaurant where you work to see if the percentages hold true. This is the data you get at your restaurant: Topping Observed Number Cheese 41 Pepper 55 oni Sausag 36 e Veggie 18 Find the chi-square statistic and the associated P-value for a hypothesis test where the null hypothesis is that the distribution of pizza toppings is as reported in the study, and where the alternative hypothesis is that the distribution of pizza toppings is different from that reported in the study. Question 25 options: X2 = 150.5, P = 0 X2 = 3.908, P = .419 X2 = 3.908, P = .097 X2 = 3.908, P = .272