According to an article in Forbes magazine of April 3, 2014, 57% of students said that they did not attend the college of their first choice due to financial concerns (www.forbes.com). In a recent poll of 1600 students, 864 said that they did not attend the college of their first choice due to financial concerns. Using a 1% significance level, perform a test of hypothesis to determine whether the current percentage of students who did not attend the college of their first choice due to financial concerns is lower than 57%. a. Write the null hypothesis and the alternative hypothesis. O Ho: P= 0.57 Hạ: p< 0.57 O Họi p= 0.57 H: PS 0.57 O Ho: p = 0.57 Hạ: p 0.57 O Họi p = 0.57 Hạ: p> 0.57 b. What is the value of the test statistics? ( round your answer to two decimal places = c. What is the p-value? ( round your answer to four deciml places) d. What is your conclusion? O Do not reject the null hypothesis. There is sufficient evidence to conclude that the the current percentage of students who did not attend the college of their first choice due to financial concerns is lower than 57%. O Reject the null hypothesis. There is sufficient evidence to conclude that the current percentage of students who did not attend the college of their first choice due to financial concerns lower than 57%. O Reject the null hypothesis. There is not sufficient evidence to conclude that the the current percentage of students who did not attend the college of their first choice due to financial concerns is lower than 57%. O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the the current percentage of students who did not attend the college of their first choice due to financial concerns is lower than 57%.

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According to an article in Forbes magazine of April 3, 2014, 57% of students said that they did not attend the college of their first choice due to financial concerns (www.forbes.com). In a recent poll of 1600 students, 864 said that they did not attend the college of their
first choice due to financial concerns. Using a 1% significance level, perform a test of hypothesis to determine whether the current percentage of students who did not attend the college of their first choice due to financial concerns is lower than 57%.
a. Write the null hypothesis and the alternative hypothesis.
O Ho: p = 0.57
Hạ: p < 0.57
Ho: p = 0.57
Hạ: p s 0.57
O Ho: p = 0.57
Hạ: p + 0.57
O Ho: p = 0.57
Hạ: p > 0.57
b. What is the value of the test statistics? ( round your answer to two decimal places =
c. What is the p-value? ( round your answer to four deciml places)
d. What is your conclusion?
O Do not reject the null hypothesis. There is sufficient evidence to conclude that the the current percentage of students who did not attend the college of their first choice due to financial concerns is lower than 57%.
O Reject the null hypothesis. There is sufficient evidence to conclude that the current percentage of students who did not attend the college of their first choice due to financial concerns is lower than 57%.
O Reject the null hypothesis. There is not sufficient evidence to conclude that the the current percentage of students who did not attend the college of their first choice due to financial concerns is lower than 57%.
O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the the current percentage of students who did not attend the college of their first choice due to financial concerns is lower than 57%.
Transcribed Image Text:According to an article in Forbes magazine of April 3, 2014, 57% of students said that they did not attend the college of their first choice due to financial concerns (www.forbes.com). In a recent poll of 1600 students, 864 said that they did not attend the college of their first choice due to financial concerns. Using a 1% significance level, perform a test of hypothesis to determine whether the current percentage of students who did not attend the college of their first choice due to financial concerns is lower than 57%. a. Write the null hypothesis and the alternative hypothesis. O Ho: p = 0.57 Hạ: p < 0.57 Ho: p = 0.57 Hạ: p s 0.57 O Ho: p = 0.57 Hạ: p + 0.57 O Ho: p = 0.57 Hạ: p > 0.57 b. What is the value of the test statistics? ( round your answer to two decimal places = c. What is the p-value? ( round your answer to four deciml places) d. What is your conclusion? O Do not reject the null hypothesis. There is sufficient evidence to conclude that the the current percentage of students who did not attend the college of their first choice due to financial concerns is lower than 57%. O Reject the null hypothesis. There is sufficient evidence to conclude that the current percentage of students who did not attend the college of their first choice due to financial concerns is lower than 57%. O Reject the null hypothesis. There is not sufficient evidence to conclude that the the current percentage of students who did not attend the college of their first choice due to financial concerns is lower than 57%. O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the the current percentage of students who did not attend the college of their first choice due to financial concerns is lower than 57%.
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