Graded Problems . (Based n problem 17, chapter 9) Some people feel that they hav

Question

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 fel 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 her favorite movie. The person was truthful in somo the clips shown, whereas in others the person wa yng. Another 100 people who claimed not to have intuitive abilities were shown similar video clips. The number of subjects who correctly ideutified whether the person in the video was lying was recorded We want to answer the question: 1s 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 technical conclusion, using a significance level of = 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 acoincy test? 4. (Based on problem 4, chapter 12) For each of the following scenarios, the researchers are interested in comparing the mean of a numerical 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 kym Atenolol the medication Lisinopril.

Explanation / Answer

Question 1.

(a) H0: There is no association between identifying as intuitive and being able to detect lies.

Ha : There is significant association between identifying as intuitive and being able to detect lies.

(b) Observed Table.

We assume a and b values.

Expected table

Expected values will be for Having intuitively ability - Caught lie = (a + b) * 100 / 200 = (a + b)/2

so Now we will calculate the Chi - square statistic

X2 = (Ei- Oi)2/Ei= 800 (a-b)2 / (a + b) ( 200 - a -b)

so here dF = 1 and alpha = 0.05

so critical value X2critical = 3.8415

so if X2 > X2critical we will reject the null hypothesis.

(e) Here we summarize the conclusion that as if we reject the null hypothesis, we will conclude that  There is significant association between identifying as intuitive and being able to detect lies. Otherwise we will say that there is no association between identifying as intuitive and being able to detect lies

Caught Lie Doesn't caught Lie Total Having intuitively ability a 100 -a 100 Not having intuitively ability b 100 - b 100 Total a + b 200 - (a + b) 200

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