Please note that this question consists of five parts. You m…
Please note that this question consists of five parts. You may use MINITAB to double check your final answer. However you MUST show all the mathematical work to get to the final answer. Just giving the answer without adequate work/explanation may result in zero for the question. In a college town, there is a central location where people can drop-off miscellaneous plastics that were not collected in regular weekly pick-ups. Recently, authorities have been getting complaints about collection bins at the drop-off location being overflowed. The authorities believe about 35% of the households in the town are using the drop-off location for plastic recycling. However, due to the recent complaints, they suspect if the true proportion of households using the drop-off location for plastic recycling has increased from 35%. They have taken a random sample of 120 households and asked them if they use the drop-off facility. Of the sampled households, 45 said they use the drop-off bins. Set up the appropriate null and alternative hypotheses that answers the authorities’ question. Are the conditions to carry out the above test satisfied? In addition to answering yes or no, clearly state the conditions and explain how you check. Calculate the test statistic. Show your calculations. Calculate the p value for the test. You must clearly write down the probability statement for the p-value. You can use the appropriate distribution table or Minitab for the value. Write the final conclusion in the context of the problem (use 5% significance level).