A USE SALT (a) Does this sample provide convincing evidence that more than 80% of the students at this college who are Facebook users update their status at least two times a day? Test the relevant hypotheses using a = 0.05. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value State the conclusion in the problem context. O Fail to reject Ho. We do not have convincing evidence that more than 80% of the students at this college who are Facebook users update their status least two times a day. O Reject H. We have convincing evidence that more than 80% of the students at this college who are Facebook users update their status at least two times a day. O Reject Ho. We do not have convincing evidence that more than 80% of the students at this college who are Facebook users update their status at least two times a day. O Fail to reject Ho. We have convincing evidence that more than 80% of the students at this college who are Facebook users update their status at least two times a day. (b) Would it be reasonable to generalize the conclusion from the test in part (a) to all college students in the United States? Explain why or why not. O Yes, we are told that the sample is representative of college students at the university. O No, the sample taken in this study may not be representative of all college students in the United States. O Yes, since the sample taken was a random sample, we can generalize the results of the study to larger populations. O No, we failed to reject the null hypothesis, so we cannot generalize the results of the study to larger populations. O Yes, we rejected the null hypothesis, so we can generalize the results of the study to larger populations.

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An article estimated that 88% percent of students at a large public university in California who are Facebook users update their status at least two times a day. This estimate was based on a random sample of size 275. Assume that this sample is representative of the
students at this university.
In USE SALT
(a) Does this sample provide convincing evidence that more than 80% of the students at this college who are Facebook users update their status at least two times a day? Test the relevant hypotheses using a = 0.05. (Round your test statistic to two decimal places and
your P-value to four decimal places.)
z =
P-value =
State the conclusion in the problem context.
O Fail to reject Ho. We do not have convincing evidence that more than 80% of the students at this college who are Facebook users update their status at least two times a day.
O Reject H.. We have convincing evidence that more than 80% of the students at this college who are Facebook users update their status at least two times a day.
O Reject H,. We do not have convincing evidence that more than 80% of the students at this college who are Facebook users update their status at least two times a day.
O Fail to reject Ho. We have convincing evidence that more than 80% of the students at this college who are Facebook users update their status at least two times a day.
(b) Would it be reasonable to generalize the conclusion from the test in part (a) to all college students in the United States? Explain why or why not.
Yes, we are told that the sample is representative of college students at the university.
O No, the sample taken in this study may not be representative of all college studer
in the United States.
O Yes, since the sample taken was a random sample, we can generalize the results of the study to larger populations.
O No, we failed to reject the null hypothesis, so we cannot generalize the results of the study to larger populations.
O Yes, we rejected the null hypothesis, so we can generalize the results of the study to larger populations.
Transcribed Image Text:An article estimated that 88% percent of students at a large public university in California who are Facebook users update their status at least two times a day. This estimate was based on a random sample of size 275. Assume that this sample is representative of the students at this university. In USE SALT (a) Does this sample provide convincing evidence that more than 80% of the students at this college who are Facebook users update their status at least two times a day? Test the relevant hypotheses using a = 0.05. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. O Fail to reject Ho. We do not have convincing evidence that more than 80% of the students at this college who are Facebook users update their status at least two times a day. O Reject H.. We have convincing evidence that more than 80% of the students at this college who are Facebook users update their status at least two times a day. O Reject H,. We do not have convincing evidence that more than 80% of the students at this college who are Facebook users update their status at least two times a day. O Fail to reject Ho. We have convincing evidence that more than 80% of the students at this college who are Facebook users update their status at least two times a day. (b) Would it be reasonable to generalize the conclusion from the test in part (a) to all college students in the United States? Explain why or why not. Yes, we are told that the sample is representative of college students at the university. O No, the sample taken in this study may not be representative of all college studer in the United States. O Yes, since the sample taken was a random sample, we can generalize the results of the study to larger populations. O No, we failed to reject the null hypothesis, so we cannot generalize the results of the study to larger populations. O Yes, we rejected the null hypothesis, so we can generalize the results of the study to larger populations.
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