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 totheir cell-phone bill. The report "Early Signals on Mobile Philanthropy: Is Haiti the Tipping Point?"t describes the results of a national survey of 1,526 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 donationvia 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 asrepresentative of the Gen Y and Gen X populations.n USE SALT(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 a = 0.01. (Use py - Py:)Find the test statistic. (Round your answer to two decimal places.)z =Find the P-value. (Round your answer to four decimal places.)P-value =State your conclusion.O Reject H. We have convincing evidence that the proportion of those in Gen Y who donated to Haiti relief via text message is greater than the proportion of those in Gen X.O Fail to reject Ho: We have convincing evidence that the proportion of those in Gen Y who donated to Haiti relief via text message is greater than the proportion of those in Gen X.O Reject Ho. We don't have convincing evidence that the proportion of those in Gen Y who donated to Haiti relief via text message is greater than the proportion of those in Gen X.O Fail to reject Ho. We don't have convincing evidence that the proportion of those in Gen Y who donated to Haiti relief via text message is greater than the proportion of those in Gen X.(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. (Round your answers to three decimal places.)Provide an interpretation of the interval.O we are 99% confident that the true proportion of Gen X is between these two values.O we are 99% confident that the true proportion of Gen Y is between these two values.O we are 99% confident that the true proportion of Gen Y is directly in the middle of these two values.O we are 99% confident that the true difference between the proportion of Gen Y and the proportion of Gen X who made a donation via text message is directly in the middle of these two values.O we are 99% confident that the true difference between the proportion of Gen Y and the proportion of Gen X who made a donation via text message is between these two values.Provide an interpretation of the associated confidence level.O In repeated sampling with a sample size of 400, 99% of the resulting confidence intervals would contain the true proportion of Gen X who donated via text message.O In repeated sampling with any sample size, 99% of the resulting confidence intervals would contain the true proportion of Gen X who donated via text message.O In repeated sampling with a sample size of 400, 99% of the resulting confidence intervals would contain the true proportion of Gen Y who donated via text message.O In repeated sampling with a sample size of 400, 99% of the resulting confidence intervals would contain the true difference in proportions who donated via text message.O In repeated sampling with any sample size, 99% of the resulting confidence intervals would contain the true difference in proportions who donated via text message.anqwer this g.uestion

Name: After the 2010 earthquake in Haiti, many charitable organizations con
Uploaded: 2024-03-20T07:06:27.000Z
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Description: 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

Question

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 totheir cell-phone bill. The report &#34;Early Signals on Mobile Philanthropy: Is Haiti the Tipping Point?&#34;t describes the results of a national survey of 1,526 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 donationvia 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 asrepresentative of the Gen Y and Gen X populations.n USE SALT(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 a = 0.01. (Use py - Py:)Find the test statistic. (Round your answer to two decimal places.)z =Find the P-value. (Round your answer to four decimal places.)P-value =State your conclusion.O Reject H. We have convincing evidence that the proportion of those in Gen Y who donated to Haiti relief via text message is greater than the proportion of those in Gen X.O Fail to reject Ho: We have convincing evidence that the proportion of those in Gen Y who donated to Haiti relief via text message is greater than the proportion of those in Gen X.O Reject Ho. We don't have convincing evidence that the proportion of those in Gen Y who donated to Haiti relief via text message is greater than the proportion of those in Gen X.O Fail to reject Ho. We don't have convincing evidence that the proportion of those in Gen Y who donated to Haiti relief via text message is greater than the proportion of those in Gen X.(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. (Round your answers to three decimal places.)Provide an interpretation of the interval.O we are 99% confident that the true proportion of Gen X is between these two values.O we are 99% confident that the true proportion of Gen Y is between these two values.O we are 99% confident that the true proportion of Gen Y is directly in the middle of these two values.O we are 99% confident that the true difference between the proportion of Gen Y and the proportion of Gen X who made a donation via text message is directly in the middle of these two values.O we are 99% confident that the true difference between the proportion of Gen Y and the proportion of Gen X who made a donation via text message is between these two values.Provide an interpretation of the associated confidence level.O In repeated sampling with a sample size of 400, 99% of the resulting confidence intervals would contain the true proportion of Gen X who donated via text message.O In repeated sampling with any sample size, 99% of the resulting confidence intervals would contain the true proportion of Gen X who donated via text message.O In repeated sampling with a sample size of 400, 99% of the resulting confidence intervals would contain the true proportion of Gen Y who donated via text message.O In repeated sampling with a sample size of 400, 99% of the resulting confidence intervals would contain the true difference in proportions who donated via text message.O In repeated sampling with any sample size, 99% of the resulting confidence intervals would contain the true difference in proportions who donated via text message.anqwer this g.uestion

Accepted Answer

Given
α=0.01
Both the sample size = 400 (nY and nX for Gen Y and Gen X respectively)