Question

An organization monitors many aspects of elementary and secondary education nationwide. Their 1995 numbers are often used as a baseline to assess changes. In 1995 31% of students had not been absen rom school even once during the previous month. In he 1999 survey, responses om 45 and mi selected students showed that this figure had slipped to 30%. 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 The 10% condition The success/failure condition | ▼I satisfied c) Perform the test and find the P-valuee The test statistic is z = Round to two decimal places as needed.) justified. ▼| satisfied The P-value is Round to three decimal places as needed.) d) State your conclusion. Use α-0.1. the null hypothesis. Theresufficient 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 not meaningful. The observed change in the sample is quite small, so even though it is statistically significant it does not indicate O B. 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 O C. The difference must be meaningful because it is statistically significant. a large enough change to be meaningful statistically significant. OD. The difference is not meaningful because it is not statistically significant.

Answer 1

Given n65 tb) Tesh The indepundence assumption is justified The 1o condition is Satisfied The success/failure condition is Satisfied cc) Test statistic P- P PI- P 0:31 ΧΟ.Gg O 605 乙--2 Refect the null hypothesis hmc is suffictent evidenc a ttendenre hashangd proabiymeuningful becaus C d Ferenc the observed change 'in the Sample is large enough to be, import ant and the results indtcat that it is statisticallt signiticant