rundraising campaighs raise mone these campaighs allowWed people donate by sending a text message using a cell phone the donated amount added their cell-phone bill. The report "Early Signals on Mobile Philanthropy: Is Haiti the Tipping Point?" 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 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 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 - Px-) Find the test statistic. (Round your answer to two decimal places.) Find the P-value. (Round your answer to four decimal places.) P-value= State your conclusion. O Reject Ha. 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 Hg. 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 Hg. 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 Hg. We don't have convincing evidence that the proportion of those in Gen Y who donated Haiti relief via text message is greater than the proportion of those in Gen X.

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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?"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 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.
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
Transcribed Image Text: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?"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 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. 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
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