(Solved): 3) A large dog store wishes to test whether this year's average weekly sales have increased fro ...

3) A large dog store wishes to test whether this year's average weekly sales have increased from last year's weekly sales of $\$7500$ (try writing these out in words to help interpret in context): $\begin{array}{l}{H}_0:\mu =7500\\ H_A:\mu >7500\end{array}$ a) What is a Type I Error in the context of this problem ( 1 point)? b) What is a Type II Error in the context of this problem (1 point)? 4) As of 2020,79\% of Americans had at least one social media profile. Is this different among older Americans? Data from a large city with over one million adults found that 3245 of the 4172 randomly surveyed older adults had one or more social media profile. a) Check the appropriate conditions for running this hypothesis test ( 2 points). b) Test an appropriate hypothesis and state your conclusion. Use your calculator to conduct this test. Use a significance level of 0.05 to make your conclusion ( 2 points). c) Based on your results in part b, what kind of error could have possibly occurred (1 point)?