What is wrong with the statement:
It is believed that the proportion of Middle School teachers who leave the profession within 5 years is different from the proportion of High School teachers who leave the profession within 5 years. Test with a level of significance of 0.05.
Hypotheses: Let Pm = population proportion of Middle School teachers who leave the profession within 5 years and let PH = the population proportion of high school teachers who leave the profession within 5 years.
Ho: Pm = PH Ha: Pm ≠ PH
Data: From a random sample of 200 middle school teachers 75 left the profession within 5 years. From a random sample of 250 high school teachers 71 left the profession within 5 years.
Test statistic: Z = 2.05, P-value = 0.040
Decision: reject the null hypothesis
Statement: The sample of data provided enough information to claim Pm is different from Ph.
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