I randomly select 704 fourth graders from across the state of New Mexico. I asked each student, "What is your favorite subject in school?" and "What is your favorite pet?" Is favorite pet related to favorite school subject? Results: math English science dog: 76 96 72 cat: 97 74 84 fish: 65 66 74 What is(are) the critical value(s)? If there is only one critical value enter the same value in the second box. TS = (Round to four decimal places.) p-value = 1 Correct: Your answer is correct. P( š2 Correct: Your answer is correct. > Correct: Your answer is correct. Correct: Your answer is correct. Correct: Your answer is correct. )
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A survey found that 50% of cats and 60% of dogs have pet licenses in the city of Saskatoon. These results were based on random samples of 100 cats and 100 dogs. Test at the 5% significance level that proportion of cats that have licenses is less than the proportion of dogs that have licenses. What is the p-value and what is your conclusion?
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A random sample of 200 middle school students was collected and the students were asked the question, "If you could have only one type of pet, what would it be?" The responses, separated by grade, are shown in the table. Pet Preferences in Middle School Type of Pet Dog Cat Something Else None Total 6th Grade 25 26 8 6 65 7th Grade 40 21 5 9 75 8th Grade 20 28 7 5 60 Total 85 75 20 20 200 A teacher performs a chi-square test of independence/association. What are the appropriate hypotheses? Hā: The percentage of students who would select āDog,ā āCat,ā āSomething Else,ā or āNoneā is 25% for each grade level. Hā: The percentage of students who would select āDog,ā āCat,ā āSomething Else,ā or āNoneā is not 25% for every one of the grade levels. Hā: The distributions of proportions of students who would select āDog,ā āCat,ā āSomething Else,ā or āNoneā is the same for each grade level. Hā: The distributions of proportions of students who would select āDog,ā āCat,ā āSomething Else,ā or āNoneā is the same for two of the grade levels, but different for the third. Hā: The percentage of students who would select āDog,ā āCat,ā āSomething Else,ā or āNoneā is 25% for each grade level. Hā: The percentage of students who would select āDog,ā āCat,ā āSomething Else,ā or āNoneā is not 25% for at least one of the grade levels. Hā: Grade level and student's choice of pet are independent. Hā: Grade level and student's choice of pet are not independent. Hā: Grade level and student's choice of pet are not independent. Hā: Grade level and student's choice of pet are independent.
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