A report about how American college students manage their finances includes data from a survey of college students. Each person in a representative sample of 793 college students was asked if they had one or more credit cards and if so, whether they paid their balance in full each month. There were 500 who paid in full there convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907, the value reported for all college students with credit cards? Carry out a hypothesis test using a significance level of 0.01. each month. For this sample e of 500 students, the sample mean credit card balance was reported to be $825. The sample standard deviation of the credit card balances for these 500 students was not reported, but for purposes of this exercise, suppose that it was $195. Is A USE SALT State the appropriate null and alternative hypotheses. O Hạ: H< 907 H:> 907 O H:= 907 H 907 O Hạ: - 907 H<907 O Hai M> 907 H:< 907 OH:- 907 H> 907 Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to one decimal place and your P-value to three decimal places.) P-value State the conclusion in the problem context. O We reject Ho. We have convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907. O we fail to reject Hg. We have convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907. O we fail to reject Ho We do not have convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907. O We reject Ho, We do not have convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907. You may need to use the appropriate table in the appendix to answer this question.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A report about how American college students manage their finances includes data from a survey of college students. Each person in a representative sample of 793 college students was asked if they had one or more credit cards and if so, whether they paid their balance in full each month. There
were 500 who paid in full each month. For this sample of 500 students, the sample mean credit card balance was reported to be $825. The sample standard deviation of the credit card balances for these 500 students was not reported, but for purposes of this exercise, suppose that it was $195. Is
there convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907, the value reported for all college students with credit cards? Carry out a hypothesis test using a significance level of 0.01.
In USE SALT
State the appropriate null and alternative hypotheses.
Но: и < 907
Н: и > 907
Но: и 3D 907
На: и # 907
a'
O Ho: µ = 907
H: H < 907
Но: и> 907
Н: и < 907
Ho: H = 907
Н: и > 907
Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to one decimal place and your P-value to three decimal places.)
t =
P-value =
State the conclusion in the problem context.
O We reject Ho. We have convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907.
We fail to reject Ho. We have convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907.
O we fail to reject Ho. We do not have convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907.
O We reject Ho. We do not have convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907.
You may need to use the appropriate table in the appendix to answer this question.
Transcribed Image Text:A report about how American college students manage their finances includes data from a survey of college students. Each person in a representative sample of 793 college students was asked if they had one or more credit cards and if so, whether they paid their balance in full each month. There were 500 who paid in full each month. For this sample of 500 students, the sample mean credit card balance was reported to be $825. The sample standard deviation of the credit card balances for these 500 students was not reported, but for purposes of this exercise, suppose that it was $195. Is there convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907, the value reported for all college students with credit cards? Carry out a hypothesis test using a significance level of 0.01. In USE SALT State the appropriate null and alternative hypotheses. Но: и < 907 Н: и > 907 Но: и 3D 907 На: и # 907 a' O Ho: µ = 907 H: H < 907 Но: и> 907 Н: и < 907 Ho: H = 907 Н: и > 907 Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. O We reject Ho. We have convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907. We fail to reject Ho. We have convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907. O we fail to reject Ho. We do not have convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907. O We reject Ho. We do not have convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907. You may need to use the appropriate table in the appendix to answer this question.
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