Exam 25: Comparing Counts

The two-way table summarizes data from the human resource department at a university: New Hires What is the probability (rounded to three decimal places)that a tenure-track new hire is female?

The two-way table summarizes data from the human resource department at a university: New Hires What is the probability (rounded to three decimal places)that a new hire is female?

Among the eastern provinces in 2010,states,Nova Scotia has 40% of the total population,New Brunswick has 33%,Newfoundland has 21%,and Prince Edward Island has 6%.A market researcher selects a sample of 1000 subjects in 2011,with 450 in Nova Scotia,340 in New Brunswich,150 in Newfoundland,and 60 in Prince Edward Island.Does the distribution of the sample agree with the population distribution? Use a 1% level of significance.

In order to test a claim about the effectiveness of a flu vaccine,150 people were vaccinated,180 people were vaccinated with a placebo,and 100 people were not vaccinated.The number in each group who later caught the flu was recorded.The researcher wishes to test the claim that the proportion of people who catch the flu is the same for all three groups.The results are shown below. Test statistic: χ² = 14.965 P-value = 0.0005627

Test the claim that the responses occur with percentages of 15%,20%,25%,25%,and 15% respectively.Use a 10% level of significance.

A car insurance company performed a study to determine whether an association exists between age and the frequency of car accidents.They obtained the following sample data.

A die is rolled 180 times and the following data are obtained. A chi-square test was conducted to determine whether or not the die is loaded (i.e. ,that the six numbers are not equally likely).Use a 5% level of significance. = 11.8;P-value = 0.03763

A researcher performed a study to determine whether an association exists between political party affiliation and income.She obtained the following sample data.Use a 1% level of significance. = 27.831;P-value = 0.0000135

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).

Describe the null hypothesis for the test of independence.List the assumptions for the χ² test of independence.What is the major difference between the assumptions for this test and the assumptions for the previous tests we have studied?

Test the claim that the proportion of men who plan to vote in the next election is the same as the proportion of women who plan to vote.300 men and 300 women were randomly selected and asked whether they planned to vote in the next election.The results are shown below.Use a 10% level of significance.

A study conducted for a woman's magazine indicates that the number of children desired by newly-married Canadian couples is distributed as follows. A random sample of 600 couples in Ontario resulted in the following data. Ontario couples is different from that of the Canadian population as a whole? Use a 5% level of significance.

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

A researcher performed a study to determine whether an association exists between sex and blood type.He obtained the following sample data.

A researcher wishes to test whether the proportion of college students who smoke is the same in four different colleges.She randomly selects 100 students from each college and records the number that smoke.The results are shown below. Test statistic: χ² = 17.832 P-value = 0.0004763

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 type of flavour was recorded in the chart below.

The two-way table summarizes data from the human resource department at a university: New Hires What is the probability (rounded to two decimal places)of a randomly selected new hire being tenure track given that the new hire is a woman?

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

160 students who were majoring in either math or English were asked a test question,and the researcher recorded whether they answered the question correctly.The sample results are given below.Are the response and major are independent? Use a 5% level of significance.

Suspecting that a die may be unfair,you want to investigate.To check,you roll it 54 times,recording the number of times each face appears. Find .