Question

An organization monitors many aspects of elementary and secondary education nationwide. Their 1996 numbers are often used as a baseline to assess changes. In 1996, 33% of students had not been absent from school even once during the previous month. In the 2000 survey, responses from 8737 randomly selected students showed that this figure had slipped to 32%. 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. H0: p = 33% HA: p ≠ 33% b) Check the assumptions and conditions. A) The independence assumption is plausibly justified. B) The 10% condition is plausibly satisfied. C) The success/failure condition is satisfied. c) Perform the test and find the P-value. The test statistic is z = -1.97. (Round to two decimal places as needed.) The P-value is 0.049. (Round to three decimal places as needed.) d) State your conclusion. α = 0.1. A) Reject the null hypothesis. B) There is sufficient evidence to conclude that the proportion of students with perfect attendance has changed. e) Do you think this difference is meaningful? Explain. 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.

          An organization monitors many aspects of elementary and secondary education nationwide. Their 1996 numbers are often used as a baseline to assess changes.

In 1996, 33% of students had not been absent from school even once during the previous month. In the 2000 survey, responses from 8737 randomly selected students showed that this figure had slipped to 32%. 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.

H0: p = 33%
HA: p ≠ 33%

b) Check the assumptions and conditions.
A) The independence assumption is plausibly justified.
B) The 10% condition is plausibly satisfied.
C) The success/failure condition is satisfied.

c) Perform the test and find the P-value.
The test statistic is z = -1.97. (Round to two decimal places as needed.)
The P-value is 0.049. (Round to three decimal places as needed.)

d) State your conclusion.
α = 0.1.
A) Reject the null hypothesis.
B) There is sufficient evidence to conclude that the proportion of students with perfect attendance has changed.

e) Do you think this difference is meaningful? Explain.
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.

Added by Lisa F.

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