The table to the right includes results from polygraphexperiments. In each case, it was known if the subjectlied or not, so the table indicates when the polygraphtest was correct. Use a 0.05 significance level to testthe claim that whether a subject lies is independent ofthe polygraph test indication. Do the results suggest Polygraph indicatedthat polygraphs are effective in distinguishing between that subject did not lietruths and lies?Did the subject actually lie?No (did not lie) Yes (lied)Polygraph indicatedthat subject lied1242318State the null and the alternative hypotheses. Choose the correct answer below.O A. Ho: At least one of the values is different from the others.H: All values in the table are equal.O B. Ho: The row and column variables are independent.Ha: The row and column variables are dependent.O C. Ho: The row and column variables are dependent.H: The row and column variables are independent.O D. Ho: All values in the table are equal.H: At least one of the values is different from the others.

For the given data, we need to test whether a subject lies is independent of the polygraph test…

Answered: The table to the right includes results…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS

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The City of South Lake Tahoe, CA, has an Asian population of 1,419 people, out of a total population of 23,609. Suppose that a survey of 1,419 self-reported Asians in the Manhattan, NY, area yielded the data in the table below. Conduct a goodness-of-fit test to determine if the the self-reported sub-groups of Asians in the Manhattan area fit that of the Lake Tahoe area. (Use a significance level of 0.05.) Race Lake Tahoe Frequency Manhattan Frequency Asian Indian 131 174 Chinese 118 557 Filipino 1,045 518 Japanese 80 54 Korean 12 29 Vietnamese 9 21 Other 24 66 State the distribution to use for the test. What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.)
The table below summarizes data from a survey of a sample of women. Using a 0.05 significance level, and assuming that the sample sizes of 900 men and 400 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women? Gender of Interviewer Man Woman Women who agree 532 349 Women who disagree 368 51 Identify the null and alternative hypotheses. Compute the test statistic. Find the critical value(s). What is the conclusion based on the hypothesis test? Reject or fail to reject? Is there sufficient evidence? Does it appear that the gender of the interviewer affected the responses of women?
The table below includes results from polygraph (lie detector) experiments conducted by researchers. In each case, it was known if the subjected lied or did not lie, so the table indicates when the polygraph test was correct. Use a 0.05 significance level to test the claim that whether a subject lies is independent of the polygraph test indication. Do the results suggest that polygraphs are effective in distinguishing between truth and lies? Did Not Lie ; Lied Polygraph indicated lie 13 ; 39 Polygraph indicated no lie 18 ; 10 χ2equals= P-value= Do the results suggest that polygraphs are effective in distinguishing between truth and lies? A.There is not sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication. B.There is sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication. C.There is not sufficient evidence…
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The table below includes results from polygraph (lie detector) experiments conducted by researchers. In eachcase, it was known if the subject lied or did not lie, so the table indicates when the polygraph test was correct. Use a 0.05 significance level to test the claim that whether a subject lies is independent of the polygraph test indication. Do the results suggest that polygraphs are effective in distinguishing between truth and lies? Did_Not_Lie LiedPolygraph_indicated_lie 8 25Polygraph_indicated_no_lie 8 7 H0: Whether a subject lies is independent of the polygraph test indication. H1: Whether a subject lies is not independent of the polygraph test indication. Determine the test statistic. X2= (round to three decimal places as needed) Determine the P-value of the test statistic. (Round to four decimal places as needed.) there is sufficient evidence to warrant…

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