An organization monitors many aspects of elementary and secondary education in a very large country. Their 2000 numbers are often used as a baseline to assess changes. In 2000, 36% of students had not been absent from school even once during the previous month. In the 2004 survey, responses from 8393 randomly selected students showed that this figure had slipped to 34%. Officials would, of course, be concerned if student attendance were declining. Do these figures give evidence of a change in student attendance? Consider an event to be rare if its probability of occurring is less than 0.10. Complete parts a–e below.
a) Write the appropriate hypotheses. Let p be the population proportion of students who have not been absent from school even once during the past month.
H0: p = 0.36
HA: p < 0.36
(Type integers or decimals. Do not round.)
b) Check the assumptions and conditions.
The Randomization Condition can reasonably be assumed to be satisfied.
The 10% Condition can reasonably be assumed to be satisfied.
The Success/Failure Condition is satisfied.
c) Perform the test and find the P-value.
The test statistic is .
(Round to two decimal places as needed.)
The P-value is .
(Round to three decimal places as needed.)