One of the most innovative advances in online fundraising during the past decade has been the rise of crowd-funding websites. While features differ from site to site, crowd-funding websites give people an opportunity to set up an online fundraising web page and to accept money directly from that page through an online payments system. Kickstarter, one such crowd-funding website, reported that 72 of 415 technology crowd-funding projects in Canada were successfully funded in the past year and 88 of 300 film and video crowd-funding projects were successfully funded in Canada in the past year.

Source: Data extracted from bit.ly/2rSCPtp.

a. Is there evidence of a significant difference in the proportion of technology crowd-funding projects and film and video crowd-funding projects that were successful? (Use α = 0.05.)

b. Determine the p-value in (a) and interpret its meaning.

c. Construct and interpret a 95% confidence interval estimate for the difference between the proportion of technology crowd-funding projects and film and video crowd-funding projects that are successful.