males or females do a better job of detecting cheating? Justify your answer using conditional probability nation.
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- The accompanying data came from a study of collusion inbidding within the construction industry (“Detection ofCollusive Behavior,” J. of Construction Engr. andMgmnt, 2012: 1251–1258).No. Bidders No. Contracts2 73 204 265 166 117 98 69 810 311 2a. What proportion of the contracts involved at mostfive bidders? At least five bidders?b. What proportion of the contracts involved betweenfive and 10 bidders, inclusive? Strictly between fiveand 10 bidders?c. Construct a histogram and comment on interestingfeatures.The health board of a major city wants to know if people who have different types of healthcare coverage (HMO, Medicare/Medicaid, or no insurance) go to different types of hospitals (privately-funded, government-funded, or free clinic) when they are injured. Using the data below, test the null hypothesis that type of insurance does not affect which hospital type they choose. Insurance Type Private Public Free Clinic HMO 17 6 4 Medicare/Medicaid 24 30 9 No insurance 8 14 8As part of a study on how people of different ages use mobile technology, each person in a sample of 258 cell phone users age 20 to 39 was asked if they use their cell phones to stay connected while they are in bed. The same question was also asked of each person in a sample of 129 cell phone users age 40 to 49. In the 20 to 39 years age group, 168 people indicated that they do stay connected while they are in bed, whilst in the 40 to 49 years old age group, 61 people stay connected while in bed.Let: ??̂ 1 = Proportion of cell phone users age 20 to 39 who stay connected while they are in bed ??̂ 2 = Proportion of cell phone users age 40 to 49 who stay connected while they are in bed ??̂= Pooled proportion of cell phone users who stay connected while they are in bed
- In a study of a group of women science majors who remained in their profession and a group who left their profession within a few months of graduation, the researchers collected the data shown here on a self-esteem questionnaire. Leavers Stayers1 = 3.05 2 = 2.92σ1 = 0.71 σ2 = 0.71n1 = 100 n2 = 227At α = 0.05, can it be concluded that there is a difference in the self-esteem scores of the two groups? Use the P-value method.The following table contains the results of a survey of daily rental rates of a mid-size car for three major rental car companies at three airport locations on three different days during the year. Is there sufficient evidence to conclude that there is a significant difference among the average daily rental rates for mid-size cars for the three rental car companies? Daily Rental Rates of Mid-Size Cars ($) New York Chicago Miami Hertz 83.9983.99 81.9981.99 73.9973.99 89.9989.99 91.9991.99 45.9945.99 77.9977.99 89.9989.99 72.9972.99 Avis 75.8675.86 77.9977.99 70.9970.99 45.1045.10 86.9986.99 60.9960.99 48.9848.98 97.9997.99 90.9990.99 National 80.0080.00 75.9975.99 57.0057.00 56.0056.00 71.0071.00 53.9953.99 56.0056.00 77.9977.99 67.9967.99 Copy Data ANOVA Source of Variation SSSS dfdf MSMS Company 709.6404709.6404 22 354.8202354.8202 Location 1631.71781631.7178 22 815.8589815.8589 Interaction 1157.83361157.8336 44 289.4584289.4584 Within…a) Persons who visit the restroom of a certain fast-food outlet were asked to state theiropinion of the quality of the restroom facilities, The following tables show the responsesfrom a sample of 100 persons. Gender of Respondent Totals Quality of Facilities Male Female Above Average 8 7 15 Average 26 24 50 Below Average 7 28 35 Totals 41 59 100 A ?2 is carried out to determine whether there is an association between the gender ofpersons and their opinion. i) State appropriate null and alternative hypotheses
- The article “Birth Order and Political Success” (Psych.Reports, 1971: 1239–1242) reports that among 31 randomlyselected candidates for political office who camefrom families with four children, 12 were firstborn, 11were middle born, and 8 were last born. Use this data totest the null hypothesis that a political candidate fromsuch a family is equally likely to be in any one of the fourordinal positionsA manager at ACME Equipment Sale and Rental wondered how offering a free two-year service warranty on its tractors might influence sales. For the next 500 customers expressing interest in purchasing a tractor, 250 were randomly offered the warranty and the rest were not. Ninety-three of those offered the warranty, and fifty-four of those not offered the warranty eventually purchased a tractor. b. Test the hypothesis that offering the warranty increases the proportion of customers who eventually purchase a tractor. Be sure to check all necessary assumptions, state the null and alternative hypotheses, obtain the p-value, and state your conclusion. Should the manager offer the warranty based on this test?The following table contains the results of a survey of daily rental rates of a mid-size car for three major rental car companies at three airport locations on three different days during the year. Is there sufficient evidence to conclude that there is a significant difference among the average daily rental rates for mid-size cars for the three rental car companies? Daily Rental Rates of Mid-Size Cars ($) New York Chicago Miami Hertz 70.9970.99 49.9949.99 47.9947.99 51.9951.99 49.9949.99 50.9950.99 47.9947.99 93.9993.99 70.9970.99 Avis 87.8687.86 47.9947.99 88.9988.99 87.1087.10 71.9971.99 80.9980.99 76.9876.98 99.9999.99 74.9974.99 National 70.0070.00 71.9971.99 58.0058.00 73.0073.00 60.0060.00 61.9961.99 66.0066.00 71.9971.99 50.9950.99 Copy Data ANOVA Source of Variation SSSS dfdf MSMS Company 1969.87811969.8781 22 984.9391984.9391 Location 123.5111123.5111 22 61.755661.7556 Interaction 472.1981472.1981 44 118.0495118.0495 Within…
- A study in Sweden looked at former elite soccer players, people who had played soccer but not at the elite level, and people of the same age who did not play soccer. Here is a two-way table that classifies these subjects by whether or not they had arthritis of the hip or knee by their mid-fifties: Elite Non-elite Did not play Arthritis 10 9 24 No arthritis 61 206 548 Based on this study, you can conclude thatPersons who visit the restroom of a certain fast-food outlet were asked to state theiropinion of the quality of the restroom facilities, The following tables show the responsesfrom a sample of 100 persons.Gender of Respondent TotalsMale FemaleQuality ofFacilitiesAbove Average 8 7 15Average 26 24 50Below Average 7 28 35Totals 41 59 100A ?2test is carried out to determine whether there is an association between the gender ofpersons and their opinion.i) State appropriate null and alternative hypotheses ii) Determine the critical region of the test at the 1% level of significance iii) Calculate the value of your test Statistic iv) What is your conclusion for this test. Give a reason for yourPersons who visit the restroom of a certain fast-food outlet were asked to state theiropinion of the quality of the restroom facilities, The following tables show the responsesfrom a sample of 100 persons.Gender of Respondent TotalsMale FemaleQuality ofFacilitiesAbove Average 8 7 15Average 26 24 50Below Average 7 28 35Totals 41 59 100A ?2test is carried out to determine whether there is an association between the gender ofpersons and their opinion.i) State appropriate null and alternative hypotheses ii) Determine the critical region of the test at the 1% level of significance iii) Calculate the value of your test Statistic iv) What is your conclusion for this test. Give a reason for your answer