Are the conditions for inference met?
Are the conditions for inference met?
For which cells do we observe more employees than expected?
The city planner would like to know if there is a difference in the distribution of commute distance for the populations of all people who live in the city, in a rural community, and in the suburbs. What are the appropriate hypotheses?
Based upon the follow-up analysis, why was the null hypothesis rejected?
The conditions for inference are met. The chi-square test statistic is chi squared is equal to 22 point 2 1 What conclusion should be made? Use alpha is equal to 0 point 0 5 Use the chi-square table.
What is the value of the chi-square test statistic?
A doctor used to believe that babies were equally likely to be born any day of the week, but with the rise in scheduled deliveries, the doctor now claims that babies are twice as likely to be born on a weekday (Monday through Friday) than on a weekend (Saturday and Sunday). To test this theory, she selects a random sample of 120 babies born this year and determines on which day of the week they were born. She finds that 4 were born on Sunday, 24 on Monday, 21 on Tuesday, 18 on Wednesday, 22 on Thursday, 28 on Friday, and 3 on Saturday. She would like to carry out a test of significance to test her claim. What is the value of the chi-square test statistic and the cap p -value of this test? Use the chi-square distribution table.
What is the value of the chi-square test statistic for this test?
The doctor would like to know if these data provide convincing evidence that the distribution of responses differs across the treatment groups in the population of all patients like these. What is the appropriate inference procedure?
The health inspector would like to know if these data provide convincing evidence that the distribution of strep throat status differs across the departments in the population of all workers of this large company. Are the conditions for inference met?
After a product recall, a company solicits feedback from a random sample of 100 customers regarding their opinion about the company since the recall. Customers were asked, "Do you approve, disapprove, or have no opinion about the company?” The public relations department is concerned that the opinions may be equally distributed across these three options. The survey reveals that 38 customers approve, 45 disapprove, and 17 have no opinion. They decide to carry out a test of significance to determine if there is convincing evidence that the distribution of opinion in the population is equally distributed across the three options. What is the value of the chi-square test statistic and the cap p -value of this test? Use the chi-square distribution table.
A teacher claims that on any given day, 60 percent of her students complete their homework and 40 percent do not. To investigate this belief, she randomly selects 30 of her 120 students and determines how many of them completed their homework that day and how many did not. She would like to know if her findings provide convincing evidence that the distribution of homework completion status differs from her original belief. Are the conditions for inference met?
Is there an association between grade level and whether the student makes their bed in the morning? To investigate, the principal at a large high school selects a random sample of 84 students and classifies them as being in ninth, tenth, eleventh, or twelfth grade, and whether they make their bed. He would like to determine if there is convincing evidence of an association. Let alpha is equal to 0 point 0 5 What are the hypotheses for this test?
A school administrator believes that 80 percent of the students at his large school arrive by bus, 10 percent drive themselves, and 10 percent are dropped off by an adult. To investigate this belief, the administrator stands at the school entrance and asks the first 80 students who come through the door how they came to school. He would like to know if the data provide convincing evidence that the distribution of transportation method differs from what he believes it to be. Are the conditions for inference met?
After a product recall, a company solicits feedback from a random sample of 100 customers regarding their opinion about the company since the recall. Customers were asked, "Do you approve, disapprove, or have no opinion about the company?” The public relations department is concerned that the opinions may be equally distributed across these three options. They decide to carry out a test of significance. Are the conditions for inference met?
After peering into a wishing well, Jocelyn hypothesizes that the distribution of coins is 50 percent quarters, 20 percent dimes, 20 percent nickels, and 10 percent pennies. To investigate this claim, she reaches in, mixes the coins well, and selects a random sample of 80 coins. She counts how many coins there are of each type. She would like to know if her observed distribution provides convincing evidence that the true distribution of coins in the well is different from what she originally thought. What are the appropriate hypotheses?
Which of these contributed the most to the value of the chi squared statistic?
After peering into a wishing well, Jocelyn hypothesizes that the distribution of coins is 50 percent quarters, 20 percent dimes, 20 percent nickels, and 10 percent pennies. To investigate this claim, she reaches in, mixes the coins well, and selects a random sample of 80 coins. She counts how many coins there are of each type. She counts 50 quarters, 12 dimes, 14 nickels, and 4 pennies. She would like to know if her observed distribution provides convincing evidence that the true distribution of coins in the well is different from what she originally thought. What is the value of the chi-square test statistic and cap p -value? Use the chi-square distribution table.
The conditions for inference are met. What is the value of the chi-square test statistic and what are the degrees of freedom for this test?
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