Graded Problems . (Based n problem 17, chapter 9) Some people feel that they hav
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Graded Problems . (Based n problem 17, chapter 9) Some people feel that they have good intuition about when others are lying, while others do not feel they have this ability. Each of 100 who thought they had good intuitive ability was shown a video clip of a person stating the name of his or he favorite movie. The persorn was truthful in somo the clips shown, whereas in others the person wa ying. Another 100 people who claimed aot to have intuitive abilities were shown similar video clips. The mumber of subjects wheo correctly ideutified wbether the person in the video was lying was recorded We want to answer the question: ·Is there an association between identifying as intuitive and being able to detect lies?" See Excel sheet 1 for the data. (a) Write the hypotheses (b) Fill in the expected table (c) Find the p-value. (d) What is the teclnical conclusion, using a significance level of a 0.05? (e) Summarize the conclusion. 2. Suppose we conduct a hypothesis test with the following hypothesis: Ho: Infection status and car accidents are independent Ha: Infection status and car accidents are not independent (a) What is a Type I error for this test? b) What is a Type II error for this test? 3. What are the assumptions for a contingency test? 4. (Based on problem 4, chapter 12) For each of the following scenarios, the researchers are interested in comparing the mean of a aumerical variable measured in two circumstances. For each, say whether a paired t-test or two-sample t-test would be appropriate. (a) The number of calories consumed per day by a group of 9 female hyenas compared with the number of calories consumed per day by a group of 9 male hyenas b) The minutes per week of exercise of 10 students before and after they are given free access to a (c) The systolic blood pressure of 15 patients before and after they start taking the medication (d) The systolic blood pressure of 15 patients taking the medication Atenolol and 15 patients taking gym Atenolol the medication Lisinopril.Explanation / Answer
2(a) type 1 error : we reject the null hypothesis given that it is true.
Given that infection status and car accidents are independent, but we come to the conclusion that infection status and car accidents depend on each other.
(b) type 2 error: accept the null hypothesis given that null hypothesis is false.
Given that infection status and car accidents are dependent on each other, but from the test we come to the conclusion that they are independent.
3. The assumptions for chi square contingency test are
(1) each observation is independent of all other observations
(2) not more than 20% of the expected count are less than 5 and none are less than 1
4.(a) two sample t test ( as there are two sets of sample: male and female )
(b) paired t test ( as there before and after observing on same set of data)
(c) paired t test
(d) two sample t test
For question number 1 we need data
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