Consider again the drug company's test to see if a new version of its allergy medication provides relief for more than 75% of patients helped by the current drug. a.) Explain what a Type I error would be in this context. b.) Explain what a Type Il error would be in this context.
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- Roman, a health data officer, was tasked to create a report describing the height of all the children ages 12-15 years in a small town in Rome. He measured the height of all the 37 children (ages 12-15 years) in that small town. Answer the table showing the number and percentage of children ages 12 to 15 years according to sex. Sex f Rel f Male <2 decimal places> Female <2 decimal places> Σf <2 decimal places>According to the Center for Disease Control (CDC) during the 2018-2019 season the percent of Americans 18 and older who had a flu shot was 45.3%. We did a random sample of 500 Americans and found that 200 out of the 500 had a flu shot. Is there enough evidence at the 5% level that 45.3% or less of Americans 18 or older had a flu shot? Find the SE, z score, and p-value: a) SE = sqrt(0.40(1-.40)/500) = 0.0219, Z-score = (0.453 – 0.40)/0.0219 = 2.42, p-value = 0.87 b) SE = sqrt(0.453(1-.453)/500) = 0.223, Z-score = (0.40 – 0.453)/0.223 = -0.24, p-value = 0.4052 c) SE = sqrt(0.453(1-.453)/500) = 0.0223, Z-score = (0.453 – 0.40)/0.0223 = 2.38, p-value = 0.9913 d) SE = sqrt(0.453(1-.453)/500) = 0.0223, Z-score = (0.40 – 0.453)/0.0223 = -2.38, p-value = 0.0087Look at the table that lists SAT scores before and after a sample of five students took a prep class and explain a Type I error and Type II error pertaining to the problem. Ho: u=0 Ha:u>0 Student 1 2 3 4 5 SAT score before class 700 840 830 860 600 SAT score after class 720 840 820 900 700
- Naini, Cobourne, McDonald and Donaldson (2008) reported that a specific ratio of height to face length of 1 to 8.5 tended to be rated as most attractive—almost exactly what Da Vinci’s idealized Vitruvian Man, predicts as “perfection” in the human form. For this study, we want to see if there is a relationship between a person’s height and head circumference. We get a random sample of 40 people and measure both their height and their head size to the nearest centimeter. What test should you use and why?(e) Which error is more serious? Why?our p value is .03 and you chose your α level to be .05. What kind of error could you be making? a. Type I error b. Type II error c. Type I and Type II error d. Neither errors
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