10. A neighborhood grocery store has chosen its marketing strategy for many years under the assumption 11. that 70% of their shoppers will buy generic brand products over name brand products when available. A newly hired manager thinks that this percentage has increased and takes a simple random sample of 400 shoppers and finds that 312 would buy generic brands. i. {2 pts) Set up the hypothesis (using correct notation} needed to perform a hypothesis test. ii. (2 pts) Assuming the distribution for the proportion of shoppers who buy generic brand products is normally distributed, draw and label the distribution, then shade the area that corresponds to the p- value for this test. Cell phones and cell phone plans can be very expensive so customers must think carefully when choosing a service. One factor people consider is the download speed of songs from |Tunes. One major carrier advertises that their download speed is faster than the average download speed of 4 megabytes per second. A student in a statistics class would like to use their knowledge of hypothesis testing to test this claim, so they take a simple random sample of 45 downloads and nds the average of 4.7 megabytes per second. i. {2 pts) Set up the hypotheses (using correct notation} needed to perform a hypothesis test. ii. (2 pts) Assuming the distribution for the mean download speed of songs from |Tunes is normally distributed, draw and label the distribution} then shade the area that corresponds to the p-value for this test