A study on crime stated that half (50%) of all arsonists are younger than 18 years of age. A researcher wonders if this proportion has changed in recent years. Checking local crime statistics for 2017-2019, the researcher found that 175 out of 300 arson suspects were under 21. Does the researcher”s result support her claim the proportion of arsonists younger than 18 years of age has significanly changed? Include in each Hypothesis Test:
a. Write the null-hypothesis and the alternative hypothesis in math language and in English.
b. Identify the claim.
c. Make a sketch appropriate for the problem. In the center of your normal curve, label with the mu
or p as appropriate and the correct value for this test.
d. Use alpha = 0.05 for each test for your significance level. (Significant but not highly significant).
e. Which test in the calculator should you use? Explain why.
f. Run the test. Record the p-value for each problem. Also record the z-test, t-test, or p-test value.
g. Make your Decision. (Reject H0 or Do not Reject H0)
h. Correctly phrase your conclusion/summary. This must reference the claim. Use your notes, the
power point or the text to make sure you phrase this correctly.