RESEARCH METHODS HANDBOOK

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Contents	Introduction	Descriptive	Hypothesis	Tables	Appendix

Example: Two Sample Proportions

Problem: A survey was conducted of students from the Princeton public school system to determine if the incidence of hungry children was consistent in two schools located in lower-income areas. A random sample of 80 elementary students from school A found that 23% did not have breakfast before coming to school. A random sample of 180 elementary students from school B found that 7% did not have breakfast before coming to school.

State the Hypothesis

Ho: There is no statistically significant difference between the proportion of students in school A not eating breakfast and the proportion of students in school B not eating breakfast.

Ha: There is a statistically significant difference between the proportion of students in school A not eating breakfast and the proportion of students in school B not eating breakfast.

Set the Rejection Criteria Alpha.05, Zcv = 1.96 Compute the Test Statistic Estimate of Standard Error

Test Statistic

Decide Results of the Null Hypothesis Since the test statistic 3.721 exceeds the critical value of 1.96, you conclude there is a statistically significant difference between the proportion of students in school A not eating breakfast and the proportion of students in school B not eating breakfast.