Mathematics
Mathematics, 21.12.2019 07:31, daonewest09

After the 2010 earthquake in haiti, many charitable organizations conducted fundraising campaigns to raise money for emergency relief. some of these campaigns allowed people to donate by sending a text message using a cell phone to have the donated amount added to their cell-phone bill. the report "early signals on mobile philanthropy: is haiti the tipping point? " (edge research, 2010) describes the results of a national survey of 1526 people that investigated the ways in which people made donations to the haiti relief effort. the report states that 17% of gen y respondents (those born between 1980 and 1988) and 14% of gen x respondents (those born between 1968 and 1979) said that they had made a donation to the haiti relief effort via text message. the percentage making a donation via text message was much lower for older respondents. the report did not say how many respondents were in the gen y and gen x samples, but for purposes of this exercise, suppose that both sample sizes were 400 and that it is reasonable to regard the samples as representative of the gen y and gen x populations. a. is there convincing evidence that the proportion of those in gen y who donated to haiti relief via text message is greater than the proportion for gen x? use α= 0.01. b. estimate the difference between the proportion of gen y and the proportion of gen x that made a donation via text message using a 99% confidence interval. provide an interpretation of both the interval and the associated confidence level.

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