Exam 19: Comparing Counts

A manufacturing plant for recreational vehicles receives shipments from three different parts vendors.There has been a defect issue with some of the electrical wiring in the recreational vehicles manufactured at the plant.The plant manager believes that the defect issue is dependent on the parts vendor.The plant manager reviews a sample of quality assurance Inspections from the last six months. Perfect Parts Co. Made-4-U Co. 25 Hour Parts Co. Rejected 53 48 70 Perfect 93 71 88 Not perfect but acceptable 22 31 22 The correct value of the test statistic for determining if the plant manager's belief is supported is

A candy company claims that its bags of mixed suckers are 20% strawberry, 30% cherry, 15% apple, 10% lemon, and 25% grapE.A bag was purchased, and the number of each typeof flavor was recorded in the chart below. Flavour Strawberry Cherry Apple Lemon Grape Count 31 15 17 15 22

The following data were collected to determine whether or not the retirement age is the same for people in different professions.

A die, suspected of being unfair, was rolled 50 times.The number of times each face appeared was recorded in the following table. Face 1 2 3 4 5 6 Count 8 10 9 11 5 7

Tests for adverse reactions to a new drug yielded the results given in the table.The data will be analyzed to determine if they provide sufficient evidence to conclude that an association exists between the treatment (drug or placebo) and the reaction (whether or not headaches were experienced). Drug Placebo Headaches 11 7 No headaches 73 91

Vending machines on a college campus offer a variety of snacks.The purchasing agent believes that each type of snack is equally preferred by students and consequently orders equal quantities.The number of snacks sold from vending machines on this campus for the last six months is shown in the following tablE.The correct value of the test statistic for determining if the purchasing agent's belief if supported is Snack Type Chips Candy Bars Crackers Nuts Purchase Frequency 159 198 174 149

Vending machines on a college campus offer a variety of snacks.The purchasing agent believes that each type of snack is equally preferred by students and consequently orders equal quantities.The number of snacks sold from vending machines on this campus for the last six months is shown in the following tablE.If the purchasing agent is correct, how many candy bars would we expect to have been sold? Snack Type Chips Candy Bars Crackers Nuts Purchase Frequency 159 198 174 149

The following data were collected to determine whether or not the retirement age is the same for people in different professions. How many degrees of freedom are there for the chi-square test statistic?

The Book Industry Study Group, InC.performs sample surveys to obtain information on characteristics of book readers.A book reader is defined to be one who read one or more books in the six months prior to the survey; a non-book reader is defined to be one who read newspapers or magazines but no books in the six months prior to the survey; a nonreader is defined to be one who did not read a book, newspaper, or magazine in the six months prior to the survey.The following data were obtained from a random sample of 1429 persons 16 years old and over in an effort to determine whether or not the proportions of book readers,non-book readers, and non-readers are the same for each income bracket.

Tests for adverse reactions to a new drug yielded the results given in the table.The data will be analyzed to determine if they provide sufficient evidence to conclude that an association exists between the treatment (drug or placebo) and the reaction (whether or not headaches were experienced). Drug Placebo Headaches 11 7 No headaches 73 91 $\chi ^ { 2 } = 1.798 ; P \text {-value } = 0.1799$

A die, suspected of being unfair, was rolled 50 times.The number of times each face Appeared was recorded in the following table. Face 1 2 3 4 5 6 Count 8 10 9 11 5 7

Tests for adverse reactions to a new drug yielded the results given in the table.The data will be analyzed to determine if there is sufficient evidence to conclude that an association exists between the treatment (drug or placebo) and the reaction (whether or not headaches were experienced). Drug Placebo Headaches 11 7 No headaches 73 91

A candy company claims that its bags of mixed suckers are 20% strawberry, 30% cherry, 15% apple, 10% lemon, and 25% grapE.A bag was purchased, and the number of each typeof flavor was recorded in the chart below. Flavour Strawberry Cherry Apple Lemon Grape Count 31 15 17 15 22

A manufacturing plant for recreational vehicles receives shipments from three different parts vendors.There has been a defect issue with some of the electrical wiring in the recreational Vehicles manufactured at the plant.The plant manager believes that the defect issue is dependent on the parts vendor.The plant manager reviews a sample of quality assurance inspections from the last six months.The expected number of perfect parts from Made-4-U co.is Perfect Parts Co. Made-4-U Co. 25 Hour Parts Co. Rejected 53 48 70 Perfect 93 71 88 Not perfect but acceptable 22 31 22

The following data were collected to determine whether or not the retirement age is the same for people in different professions. $\chi ^ { 2 } = 20.77 ; \quad P$ -value $= 0.0137$

The Book Industry Study Group, InC.performs sample surveys to obtain information on characteristics of book readers.A book reader is defined to be one who read one or more books in the six months prior to the survey; a non-book reader is defined to be one who read newspapers or magazines but no books in the six months prior to the survey; a nonreader is defined to be one who did not read a book, newspaper, or magazine in the six months prior to the survey.The following data were obtained from a random sample of 1429 persons 16 years old and over in an effort to determine whether or not the proportions of book readers, non-book readers, and non-readers are the same for each income bracket.

The data will be analyzed to determine if they provide sufficient evidence to conclude that an association exists between car color and the likelihood of being in an accident. Red Blue White Car has been in an accident 28 33 36 Car has not been in an accident 23 22 30

The data will be analyzed to determine if they provide sufficient evidence to conclude that an association exists between car color and the likelihood of being in an accident. Red Blue White Car has been in an accident 28 33 36 Car has not been in an accident 23 22 30

The following data were collected to determine whether or not the retirement age is the same for people in different professions.

The Book Industry Study Group, Inc.performs sample surveys to obtain information on characteristics of book readers.A book reader is defined to be one who read one or more books in the six months prior to the survey; a non-book reader is defined to be one who read newspapers or magazines but no books in the six months prior to the survey; a nonreader is defined to be one who did not read a book, newspaper, or magazine in the six months prior to the survey.The following data were obtained from a random sample of 1429 persons 16 years old and over in an effort to determine whether or not the proportions of book readers, non-book readers, and non-readers are the same for each income bracket. $\chi ^ { 2 } = 114.534 ; P$ -value $= 2.287 \times 10 ^ { - 22 }$