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An organization monitors many aspects of elementary and secondary education nationwide. Their 2000 numbers are often used as a baseline to assess changes. In
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, 36% of students had not been absent from school even once during the previous school year. In the 2004 survey, responses from 8519 randomly selected students showed that this figure had slipped to 35%. Officials would, of course, be concerned if student attendance were declining. Do these figures give evidence of a change in student attendance? Complete parts a through e below. a) Write appropriate hypotheses. Ho HA: b) Check the assumptions and conditions. The independence assumption justified. The 10% condition satisfied. satisfied. The success/failure condition c) Perform the test and find the P-value. The test statistic is z = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) d) State your conclusion. Use = 0.1. the null hypothesis. There sufficient evidence to conclude that the proportion of students with perfect attendance e) Do you think this difference is meaningful? Explain. A. The difference is probably meaningful because the observed change in the sample is large enough to be important and the results indicate that it is statistically significant. B. The difference is not meaningful because it is not statistically significant. C. The difference must be meaningful because it is statistically significant. D. The difference is probably not meaningful. The observed change in the sample is quite small, so even though it is statistically significant, it does not indicate a large enough change to be meaningful.
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