i want to know if i am doing this problem correctly, need answers for questions a-f please.

_ In 2000, 60% of new homes built in the Portland Metro area had air condltlomng You would like to know if the proportion has changed since then. You sample 80 newly built homes in the Portland Metro area and find that 55 had air conditioning. a. What is the observational unit, the intended population, and the variable(s)? Observation unit: Newly built homes. Intended population: The city of Portland. Variables: If the newly built homes have air conditioning or not (categorical). . What is the parameter of interest? Single proportions. . State the null and alternative hypotheses. Ho: p = 0.60 Ha:p # 0.60 . What is the value of the sample statistic? Value of sample statistic is the 80 newly built homes in the Portland Metro area. _ Create a randomization distribution and approximate the p-value. Randomization distribution: Count = 42, sample size = 80, p-value = 42/80 = 0.525 What does the p value tell you in the context of the study? Is there strong evidence in support of the alternative hypothesis? The p-value tells us there is a 0.5256% probability that newly built homes in the Portland Metro with air conditioning has changed since 2000. There is strong evidence in support of the alternative hypothesis