Question

An organization monitors many aspects of elementary and secondary education in a very large country. Their...

An organization monitors many aspects of elementary and secondary education in a very large country. Their 19991999 numbers are often used as a baseline to assess changes. In 19991999​, 2929​% of students had not been absent from school even once during the previous month. In the 20042004 ​survey, responses from 72717271 randomly selected students showed that this figure had slipped to 2727​%. 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 0.050.05. Complete parts adash–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. Upper H 0H0​: p equals= . 29.29 Upper H Subscript Upper AHA​: p not equals≠ . 29.29 ​(Type integers or decimals. Do not​ round.)

​b) Check the assumptions and conditions. The Randomization Condition ▼ reasonably be assumed to be satisfied. The​ 10% Condition ▼ reasonably be assumed to be satisfied. The​ Success/Failure Condition ▼ is not is satisfied. ​

c) Perform the test and find the​ P-value. The test statistic is nothing. ​(Round to two decimal places as​ needed.) The​ P-value is nothing. ​(Round to three decimal places as​ needed.)

​d) State your conclusion. ▼ Reject Accept Do not reject the null hypothesis. These figures ▼ do not give give sufficient evidence to conclude that there has been a change in student attendance.

​e) Do you think this difference is​ meaningful? Explain. Choose the correct answer below. A. The difference is meaningful because it is statistically significant and large in​ size, making it very likely to have practical implications. B. The difference is statisticallystatistically significant commasignificant, butbut itit maymay not benot be meaningfulmeaningful becausebecause itit isis possiblypossibly too small to have practical implications. C. The difference is probably notprobably not meaningfulmeaningful becausebecause itit isis notnot statisticallystatistically significantsignificant andand isis likelylikely too small to have practical implications. D. The difference is meaningful because even though the difference is​ small, all​ differences, no matter how​ small, are meaningful if the test results are significant.

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