An organization monitors many aspects of elementary and secondary education nati

Question

An organization monitors many aspects of elementary and secondary education nationwide. Their 1999 numbers are often used as a baseline to assess changes. In 1999 25% of students had not been absent from school even once during the previous month. In the 2003 survey, responses from 8418 randomly selected students showed that this figure had slipped to 24%. Officials would note any change in the rate of student attendance. Answer the questions below. The independence assumption is satisfied. The randomization condition is satisfied. The 10% condition is satisfied. The success/failure condition is satisfied. (c) Perform the test and find the P-value. P-value = 0.033 (d) State your conclusion. Consider probabilities less than 0.05 to be suitably unlikely. A. 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. B. 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. C. We can 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.

Explanation / Answer

p = 0.24

P = 0.25

n = 8418

= sqrt(P * (1 - P) / n)

   = sqrt(0.25 * 0.75 / 8418)

   = 0.0047

z = (p - P) / = (0.24 - 0.25) / 0.0047 = -2.13

p-value = P(Z < -2.13) = 0.0166 = 0.017 (ans)

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