A polling organization reported data from a survey of 2000 randomly selected Canadians who carry debit cards. Participants in this survey were asked what they considered the minimum purchase amount for which it would be acceptable to use a debit card. Suppose that the sample mean and standard deviation were $9.14 and $7.70, respectively. (These values are consistent with a histogram of the sample data that appears in the report.) Do these data provide convincing evidence that the mean minimum purchase amount for which Canadians consider the use of a debit card to be appropriate is less than $10? Carry out a hypothesis test with a significance level of 0.01. (Use a statistical computer package to calculate the P-value. Round your test statistic to two decimal places and your P-value to four decimal places.) t = P-value = State your conclusion. Reject H0. We do not have convincing evidence that the mean minimum purchase amount for which Canadians consider it acceptable to use a debit card is less than $10. Reject H0. We have convincing evidence that the mean minimum purchase amount for which Canadians consider it acceptable to use a debit card is less than $10. Do not reject H0. We do not have convincing evidence that the mean minimum purchase amount for which Canadians consider it acceptable to use a debit card is less than $10. Do not reject H0. We have convincing evidence that the mean minimum purchase amount for which Canadians consider it acceptable to use a debit card is less than $10.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A polling organization reported data from a survey of 2000 randomly selected Canadians who carry debit cards. Participants in this survey were asked what they considered the minimum purchase amount for which it would be acceptable to use a debit card. Suppose that the sample mean and standard deviation were $9.14 and $7.70, respectively. (These values are consistent with a histogram of the sample data that appears in the report.)

Do these data provide convincing evidence that the mean minimum purchase amount for which Canadians consider the use of a debit card to be appropriate is less than $10? Carry out a hypothesis test with a significance level of 0.01. (Use a statistical computer package to calculate the P-value. Round your test statistic to two decimal places and your P-value to four decimal places.)

t	=
P-value	=

State your conclusion.

Reject H₀. We do not have convincing evidence that the mean minimum purchase amount for which Canadians consider it acceptable to use a debit card is less than $10.

Reject H₀. We have convincing evidence that the mean minimum purchase amount for which Canadians consider it acceptable to use a debit card is less than $10.

Do not reject H₀. We do not have convincing evidence that the mean minimum purchase amount for which Canadians consider it acceptable to use a debit card is less than $10.

Do not reject H₀. We have convincing evidence that the mean minimum purchase amount for which Canadians consider it acceptable to use a debit card is less than $10.

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