Concept explainers
Additional Fallacies. Consider the blowing fallacies (which are not discussed in the text). Explain why the fallacy applies to the example and create your own argument that displays the same fallacy.
41. The fallacy of division has this form:
Premise: X has some property.
Conclusion: All things or people that belong to X must have the same property.)
Example: Americans use more gasoline than Europeans. so Jake, who is an American, must use more gasoline than Europeans.
42. The gambler's fallacy has this form:
Premise: X has been happening more than it should.
Conclusion: X will come to an end soon.
Example: It has rained for 10 days, which is unusual around here. Tomorrow will be sunny:
43. The slippery slope fallacy has this form:
Premise: X has occurred and is related to Y.
Conclusion: Y will inevitably occur.
Example: America has sent troops to three countries
recently. Before you know it, we will have
troops everywhere.
44. The middle ground fallacy has this form:
Premise: X and Y are two extreme positions on a question.
Conclusion: Z, which lies between X and Y, must be correct.
Example: Senator Peters supports a large tax cut, and Senator Willis supports no tax cut. That means a small tax cut must be best.
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Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
- Listed below are the lead concentrations (in μg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 µg/g. 2.99 6.50 6.03 5.51 20.49 7.48 12.03 20.51 11.50 17.51 Identify the null and alternative hypotheses. Ho H₁₁ (Type integers or decimals. Do not round.) Identify the test statistic. 1 (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. the null hypothesis. There sufficient evidence at the 0.05 significance level to the claim that the mean lead concentration for all Ayurveda medicines manufactured in…arrow_forwardMany people believe that criminals who plead guilty tend to get lighter sentences than those who are convicted in trials. The accompanying table summarizes randomly selected sample data for defendants in burglary cases. All of the subjects had prior prison sentences. Use a 0.05 significance level to test the claim that the sentence (sent to prison or not sent to prison) is independent of the plea. If you were an attorney defending a guilty defendant, would these results suggest that you should encourage a guilty plea? Click the icon to view the table. More Info OA. Ho: The sentence (sent to prison or not sent to prison) is not independent of the plea. H₁: The sentence (sent to prison or not sent to prison) is independent of the plea. OB. Ho Pleading guilty reduces a defendant's chance of going to prison. H₁: Pleading guilty doe OC. Ho: Pleading guilty doe H₁: Pleading guilty red More Info OD. Ho: The sentence (sen H₁: The sentence (sen Determine the test statistic. x²=(Round to three…arrow_forwardThere is an unused space at Mercedes- Benz Stadium, and they want customer feedback from concert goers on how to use the space. The space could be used for more bathrooms a VIP exclusive swag shop a new sit-down restaurant or a photo booth. Use the Ranked Voting Method to determine how the space will be used. Be sure to show all work for your process.arrow_forward
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- Simpson’s Rule with n = 4 subintervals to estimate the integral of the squre root of x dx with upper bounds of 9 nd lower bounds of 1 is 14.2302 but exactly 18.arrow_forwardSimpson’s Rule with n = 4 subintervals to estimate the integral of the square root of x dx upper bound of 9 and lower bound of 1 is 14.2302 but exactly 18.arrow_forwardSuppose that in a random selection of 100 colored candies, 22% of them are blue. The candy company claims that the percentage of blue candies is equal to 24%. Use a 0.10 significance level to test that claim. O A. Ho p=0.24 H₁ p 0.24 OB. Ho p=0.24 H₁ p>0.24 OC. Ho p=0.24 H₁: p<0.24 OD. Ho p# 0.24 H₁ p=0.24 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test The P-value for this hypothesis test is ☐ (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. E OA. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24% OB. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 24% OC. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the…arrow_forward
- Randomly selected birth records were obtained, and categorized as listed in the table to the right. Use a 0.01 significance level to test the reasonable claim that births occur with equal frequency on the different days of the week. How might the apparent lower frequencies on Saturday and Sunday be explained? Day Number of Births Determine the null and alternative hypotheses. Ho H₁ Sun 45 Mon 64 Tues 56 Wed 62 Thurs 59 2 Calculate the test statistic, x² x²=(Round to three decimal places as needed.) Calculate the P-value. P-value = (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? OA. Reject Ho. There is insufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week. OB. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that births occur with equal frequency on the different days of the week. OC. Reject Ho. There is sufficient evidence to warrant…arrow_forwardListed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports Crash Fatality Rate 229 264 359 483 533 15.9 15.6 15.4 15.3 14.8 17- 16- 15- of D р 17- 17- 17- 16 O о o E X D 16- 0 0 G 15 15 ° 16- 0 e O G 15 X 14+ 0 14+ 200 400 600 0 200 400 600 14- 0 200 400 600 The linear correlation coefficient is r= (Round to three decimal places as needed.) The test statistic is t= ☐ (Round to three decimal places as needed.) The P-value is ☐ (Round to three decimal places as needed.) Because the P-value is than the significance level 0.05, there significance level of α = 0.05. 14- 0 200 400…arrow_forwardMercedes-Benz stadium's soccer field is 115 yards in length × 75 yards in width. When Mercedes-Benz hosts a concert, the stage takes up the first 20 yds. The two VIP areas takes up the next 4 yards. After that, there are six ground floor sections. Each ground floor section is divided by aisles that are 5 yards wide. Each chair requires a square of 1 yard x 1 yard. Use the above information to answer the following questions: How many VIP ground tickets could you sell? How many additional ground tickets could you sell?arrow_forward
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