In: Statistics and Probability
An organization monitors many aspects of elementary and secondary education nationwide. Their 2000 numbers are often used as a baseline to assess changes. In 2000 48 % of students had not been absent from school even once during the previous month. In the 2004 survey, responses from 6827 randomly selected students showed that this figure had slipped to 47 %. Officials would note any change in the rate of student attendance. Answer the questions below.
(a) Write appropriate hypotheses.
Upper H 0 : The percentage of students in 2004 with perfect attendance the previous month ▼ is greater than 48%. is less than 48%. is different from 48%. is equal to 48%.
Upper H Subscript Upper A Baseline : The percentage of students in 2004 with perfect attendance the previous month ▼ is greater than 48%. is equal to 48%. is less than 48%. is different from 48%.
(b) Check the necessary assumptions.
The independence condition is ▼ satisfied. not satisfied. The randomization condition is ▼ not satisfied. satisfied. The 10% condition is ▼ satisfied. not satisfied. The success/failure condition is ▼ not satisfied. satisfied.
(c) Perform the test and find the P-value. P-value equals ________ (Round to three decimal places as needed.)
(d) State your conclusion. Assume a=0.05.
A. We fail to reject the null hypothesis. There is sufficient evidence to suggest that the percentage of students with perfect attendance in the previous month has changed.
B. We can reject the null hypothesis. There is sufficient evidence to suggest that the percentage of students with perfect attendance in the previous month has changed.
C. We fail to reject the null hypothesis. There is not sufficient evidence to suggest that the percentage of students with perfect attendance in the previous month has changed.