Please check to see if I have this correct.

Premises: The desire to incarcerate juveniles with adults is based on public fear.
Premises: The public fears that juvenile crime is increasing.
Conclusion: However, crimes committed by youth are actually decreasing

The conclusion is stated as a fact, but I don't see how it can be derived from the two premises about what people think.

How about this one.

Premises: Communities need to develop and support intensive early childhood intervention programs to promote healthy families.
Premises: Schools are the focal point for youth and their families
Conclusion: Accordingly, schools and communities need to be the focus on prevention programs for youth.

That one makes a lot more sense.

To check if your premises and conclusion are correct, we will need to evaluate the accuracy of each statement individually.

Premise 1: The desire to incarcerate juveniles with adults is based on public fear.

This premise suggests that the motivation for incarcerating juveniles with adults is rooted in public fear. To determine if this statement is correct, you can conduct research to examine the reasons behind the desire to incarcerate juveniles with adults. This might involve consulting relevant literature, studies, or expert opinions. By examining the available evidence, you can assess whether or not public fear is indeed a significant factor in this desire.

Premise 2: The public fears that juvenile crime is increasing.

This premise asserts that the public perceives an increase in juvenile crime and fears its implications. To verify this statement, you can explore sources such as crime statistics, surveys, or public opinion polls. Analyzing these resources can help you determine whether the public's perception aligns with the actual trends in juvenile crime rates.

Conclusion: However, crimes committed by youth are actually decreasing.

This conclusion argues that despite the public's fear of an increase in juvenile crime, the actual number of crimes committed by youth is decreasing. To substantiate or refute this claim, you need to gather data on the trends in juvenile crime rates, preferably from reliable sources such as governmental or law enforcement databases. Analyzing this information will allow you to determine whether or not crimes committed by youth have in fact been decreasing.

In summary, to verify whether your premises and conclusion are correct, you need to examine each statement individually and assess their accuracy based on available data, research, and expert opinions.