A study is made of residents in Phoenix and its suburbs concerning the proportion of residents who subscribe to Sporting News. A random sample of 88 urban residents showed that 12 subscribed, and a random sample of 97 suburban residents showed that 18 subscribed. Test the claim that the population proportion of suburban residents who subscribed to Sporting News is different from the population proportion of urban residents who subscribed. (Use a
5%
level of significance.) [2pt] Step 0: Check requirements. State which distribution you will use to perform this test and state why it is appropriate. [3pt] Step 1: State the null hypothesis, alternate hypothesis, and level of significance. [3pt] Step 2: Give the sample test statistic and compute the appropriate
z
-val or
t
-val. [3pt] Step 3: Compute the
P
-value for the test. [2pt] Step 4: Conclude the test, i.e., will you reject or fail to reject
H 0
​
? [2pt] Step 5: Interpret your results within the context of the problem.