A chi-square statistic for this table will have how many degrees of freedom? A) 3 B) 4 C) 6 D) 9 E) 12
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A study of fathers’ involvement in their children’s education interviews a sample of fathers of school-age children. One question concerns regularly scheduled parent-teacher conferences. Here is a two-way table of the results:
|
|
Attended all |
Attended some but not all |
Attended none |
|
Fathers in two-parent families |
109 |
132 |
203 |
|
Fathers in single-parent families |
15 |
10 |
13 |
|
Non-resident fathers |
11 |
25 |
82 |
|
A chi-square statistic for this table will have how many degrees of freedom? |
|
A) 3 B) 4 C) 6 D) 9 E) 12 |
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- The table below gives the two-way classification of 400 randomly selected persons based on their status as a smoker or a nonsmoker and on the number of visits they made to their physicians last year. Suppose you must test the hypothesis at 5% level of significance whether there is a relationship between smoking and visits to the physician. Status Visits to the Physician 0-1 2-4 >=5 Smoker 25 60 75 Nonsmoker 110 90 40 The conclusion will be: a) Since 2 56.428 is not greater than 2 s =0.103. we then reject the null hypothesis at 5% level of 0.95.2 significance and conclude that smoking and visits to the physician are related. O b) Since x-= 56.428 is greater than xos ,=0.103, we then fail to reject the null hypothesis at 5% level of significance and conclude that smoking and visits to the physician are related. O c) Since x= 56.428 is greater than xos =0.103 we then reject the null hypothesis at 5% level of significance %3D 95.2 and conclude that smoking and visits to the physician are…In an interview for a job, the interviewer says that the average annual income of the company's 16 employees is $73,610. The actual annual incomes of the 16 employees are shown below. Which measure of central tendency would be most informative to the potential employee? OOO O O median O mode O mean Orange $12,500 $12,500 $16,430 $17,305 $17,408 $18,980 $20,432 $24,540 $25,676 $28,906 $28,956 $32,654 $94,024 $98,213 $250,921 $478,320Below example 1 in section 3.4 in the textbook, there is a bold text on "A disadvantage of the mean ".If we have a sample of salaries of $20,000, 30,000, $40,000, $50,000, and $3,000,000, which is the best measure for central tendency? a) Meanb) Medianc) ModeType the correct word in the answer blank.
- The World Bank collects information on the life expectancy of a person in each country ("Life expectancy at," 2013) and the fertility rate per woman in the country ("Fertility rate," 2013). The data for 12 randomly selected countries for the year 2011 are shown in the table below. Table: Data of Fertility Rates versus Life Expectancy Fertility Rate Life Expectancy 1.7 77 5.8 55 2.2 70 2.1 76 1.8 75 2.0 78 2.6 73 1.5 81 6.9 54 2.9 72 4.7 63 6.8 57 The most commonly used type of correlation is Pearson correlation, named after Karl Pearson, introduced around the turn of the 20th century. Pearson's r measures the linear relationship between two variables, say X and Y. Find the Pearson’s correlation coefficient for the above data In reference to the calculated correlation coefficient above, describe the strength of the correlation. Briefly give an explanation to meaning of the above results. Obtain the…A samll town installed a Blue streetlights, in part, to help reduce crime in particular areas. The city collected the number of property crimes along nine randomly selected streets in the month before and after the Blue light installation, and claims that crime has been reduced.The number of crime data is shown in the table. No before Blue Light After Blue Light 1 17 14 2 25 20 3 10 14 4 14 12 5 16 8 6 34 35 7 32 27 8 21 18 9 14 12 a. Specify the competing hypotheses to test the s,all town's claim.b. Calculate the value of the relevant test statistic and find the critical value at the 5% significance level.c. Does the evidence support the small town's claim at the 5% significance level?A survey described the results of a poll of working adults in Canada. Each person in a random sample was classified according to gender and the number of vacation days he or she usually took each year. The resulting data are summarized in the given table. Days of Vacation Gender Male Female None 51 42 1-5 21 25 6-10 67 79 11-15 106 98 16-20 71 70 21-25 82 58 More than 25 118 79 (a) Is it reasonable to conclude that there is an association between gender and the number of vacation days taken?Test the appropriate hypotheses using a 0.05 significance level. Calculate the test statistic. (Round your answer to two decimal places.)?2 =
- A sample of 349 students at a university is surveyed. The students are classified according to gender ("female" or "male"). They are also classified according to major ("biology", "business", "engineering", "mathematics", or "computer science"). The results are given in the contingency table below. Biology Business Engineering Mathematics Computer science Female 40 24 33 44 32 Male 29 35 32 37 43 What is the relative frequency of female students in the sample? Round your answer to two decimal places. 0 X S ?A sociologist is interested in studying the relationship between education and crime. She randomly selects 332 people and asks them their education level and whether or not they have ever been convicted of a felony. Is there evidence that education level and crime are dependent? Education Level No Felony Conviction Felony Conviction Total Less than 99 years 95 12 107 99 years - 1212 years 86 11 97 1212 years - 1616 years 59 7 66 16+16+ years 56 6 6262 Total 296 36 332 Copy Data Step 4 of 8 : Find the value of the test statistic. Round your answer to three decimal places.A small college has been accused of gender bias in its admissions to graduate programs. a. Out of 500 men who applied, 255 were accepted. Out of 700 women who applied, 240 were accepted. Find the acceptance rate for each gender. Does this suggest bias? b. The college then looked at each of the two departments with graduate programs and found the data below. Compute the acceptance rate within each department by gender. Does this suggest bias? Department Men Women Applied Admitted Applied Admitted Dept A 400 240 100 90 Dept B 100 15 600 150 c. Looking at our results from Parts a and b, what can you conclude? Is there gender bias in this college’s admissions? If so, in which direction?
- A researcher wants to study the relationship between salary and gender. She randomly selects 392 individuals and determines their salary and gender. Can the researcher conclude that salary and gender are dependent? Income Male Female Total Below $25,000$25,000 48 45 93 $25,000$25,000-$50,000$50,000 38 36 74 $50,000$50,000-$75,000$75,000 46 40 86 Above $75,000$75,000 68 71 139 Total 200 192 392 State the conclusion of the hypothesis test at the 0.010.01 level of significance.Suppose course evaluation ratings for four college instructors are shown in the following table. Instructor Black Jennings Swanson Wilson 89 87 89 80 80 79 76 83 78 85 69 56 69 83 85 72 96 98 83 88 68 98 85 87 83 84 94 81 82 Use ? = 0.05 and test for a significant difference among the rating for these instructors. State the null and alternative hypotheses. 1. H0: MedianB = MedianJ = MedianS = MedianW Ha: MedianB ≠ MedianJ ≠ MedianS ≠ MedianW 2. H0: MedianB ≠ MedianJ ≠ MedianS ≠ MedianW Ha: MedianB = MedianJ = MedianS = MedianW 3. H0: Not all populations of teaching evaluations are identical. Ha: All populations of teaching evaluations are identical. 4. H0: MedianB = MedianJ = MedianS = MedianW Ha: MedianB < MedianJ > MedianS > MedianW 5. H0: All populations of teaching evaluations are identical. Ha: Not all populations of teaching evaluations are identical. Find the value of the test statistic. (Round your answer to…To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow: Twin Pair 1 2 3 4 5 6 School A 80 145 118 90 112 118 School B 83 135 115 105 105 113 Twin Pair 7 8 9 10 11 12 School A 98 112 115 144 124 96 School B 93 87 98 132 135 105 Suppose a sign test for matched pairs with a 1% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools have different levels of effectiveness in teaching reading skills. Let p denote portion of positive signs when the scores of school B are subtracted from the corresponding scores of school A.…
