Based on past data, it is known that 29% of dogs purchased were purchased from pet stores or breeders. Suppose we take a sample of 100 dogs purchased during the pandemicand find that 36% were purchased from breeders. We want to see if there is evidence that the number of dogs being purchased from breeders increased during the pandemic. a. If I wanted to control my margin of error and set it to 7% with 99% confidence, what sample size would I need to take instead of the 100? b. Using my original sample size of 100, what would be the 99% confidence interval for the population proportion? c. What are the null and alternative hypotheses? d. What is the critical value at 99% confidence? e. Calculate the test statistic (using the sample of 100). f. Find the p-value. g. What conclusion would be made here at the 99% confidence level