Flag QuestionThe number of people absent from classes from Monday to Friday is calculated to test if the day of the week has an impact on attendance.The following results are seen:Monday - 15Tuesday - 17Wednesday - 12Thursday - 10Friday - 6Test the hypothesis that day has an effect on absence, at a 5% significance level
Question
Flag QuestionThe number of people absent from classes from Monday to Friday is calculated to test if the day of the week has an impact on attendance.The following results are seen:Monday - 15Tuesday - 17Wednesday - 12Thursday - 10Friday - 6Test the hypothesis that day has an effect on absence, at a 5% significance level
Solution
To test the hypothesis that the day of the week has an effect on absence, we can use a Chi-Square test for independence. Here are the steps:
-
State the Hypotheses: The null hypothesis states that there is no association between the two variables (day of the week and absence). The alternative hypothesis states that there is an association between the two variables.
-
Calculate the Expected Frequencies: The expected frequency counts are computed separately for each level of one categorical variable at each level of the other categorical variable.
-
Compute the Test Statistic: The test statistic is a chi-square random variable (Χ2) defined by the following equation: Χ2 = Σ [ (O-E)^2 / E ] where O represents the observed frequency count, and E represents the expected frequency count.
-
Obtain the P-Value: The P-value is the probability that a chi-square statistic having (r - 1) * (c - 1) degrees of freedom is more extreme than the observed value of the sample test statistic.
-
Decision: If the P-value is less than the significance level (0.05), reject the null hypothesis.
Note: This is a simplified explanation. The actual calculation involves more detailed steps, including creating a contingency table, calculating the expected frequencies, and then using these to calculate the chi-square statistic and the P-value.
Similar Questions
The number of people absent from classes from Monday to Friday is calculated to test if the day of the week has an impact on attendance.The following results are seen:Monday - 15Tuesday - 17Wednesday - 12Thursday - 10Friday - 6Test the hypothesis that day has an effect on absence, at a 5% significance level
A school play takes place each day from Monday to Friday.Here are the attendances on four of the days.Monday Tuesday Wednesday Thursday72 83 88 97For all five days, the mean attendance is 90Work out the attendance on Friday.[3 marks]Answer
The following data shows the number of absences (X) of 5 students and their corresponding grade (Y) in Statistics. Determine if there is a relationship between the number of absences and grade in Statistics by completing the table and solving for r.Student X Y A 1 90 B 6 81 C 3 86 D 0 90 E 8 7816. What would be the null hypothesis?*There is no significant difference between the number of absences and the grades of students.There is a significant difference between the number of absences and the grades of students.There is no significant relationship between the number of absences and the grades of students.There is a significant relationship between the number of absences and the grades of students.None of the above
how to answer which days of the week a school has extracurricular activities.
A recent study with 3,000 participants reported a fairly powerful negative correlation between the number of class absences by college students and their GPAs. According to recent guidelines for interpreting the magnitude of effect sizes, what r value was most likely to have been reported in this study?−.50−.30.50.30
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.