Researchers studying the effects of diet on growth would like to know if a vegetarian diet affects the height of a child. The researchers randomly selected 9 vegetarian children that were six years old. The average height of the children is 43.5 inches with a standard deviation of 4.9 inches. The average height for all six-year-old children is 46.25 inches. Using confidence intervals, test to determine whether there is overwhelming evidence at a= 0.02 that six-year-old vegetarian children are not the same height as other six-year-old children. Assume the population is normally distributed. Step 1 of 2: Calculate a confidence interval for the average height of six-year-old vegetarian children. Round your answers to two decimal places. Answer 2 Points Tables Keypad Keyboard Shortcuts Next < Prev Researchers studying the effects of diet on growth would like to know if a vegetarian diet affects the height of a child. The researchers randomly selected 9 vegetarian children that were six years old. The average height of the children is 43.5 inches with a standard deviation of 4.9 inches. The average height for all six-year-old children is 46.25 inches. Using confidence intervals, test to determine whether there is overwhelming evidence at a = 0.02 that six-year-old vegetarian children are not the same height as other six-year-old children. Assume the population is normally distributed. Step 2 of 2: Draw a conclusion and interpret the decision. Answer 2 Points Tables Keypad Keyboard Shortcuts Because the hypothesized value falls in the confidence interval, we fail to reject the null hypothesis. There is not sufficient evidence at the 0.02 significance level that six-year-old vegetarian children are not the same height as other six-year-old children. Because the hypothesized value falls in the interval, we reject the null hypothesis. There is sufficient evidence at the 0.02 significance level that sox- year-old vegetarian children are not the same height as other six-year-old children. O Because the hypothesized value does not fall in the confidence interval, we reject the null hypothesis. There is sufficient evidence at the 0.02 significance level that six-year-old vegetarian children are not the same height as other six-year-old children. O Because the hypothesized value does not fall in the interval, we fail to reject the null hypothesis. There is not sufficient evidence at the 0.02 significance level that six-year-old vegetarian children are not the same height as other six-year-old children. > Nex