A polling organization reported data from a survey of 2000 randomly selected Can
ID: 3204363 • Letter: A
Question
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 $9.16 and $7.40, 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 three decimal places.) t = P- value = State your conclusion. Reject H_0. 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 H_0. We have convincing evidence that the mean minimum purchase amount for which Canadian consider it acceptable to use a debit card is less than $10. Reject H_0. 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 H_0. 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.Explanation / Answer
Sol:
Null Hypothesis:
H0:=10
Alternative Hypotehsis:
Ha:<10
level of significance=0.01
Test statistic:
t=sample mean-population mean/sample stddev/sqrt(sample size)
=9.16-10/7.4/sqrt(2000)
t =-5.08
The P-Value is < .00001.
The result is significant at p < .01.
Reject Null hypothesis:
there is sufficient evidence at 1% level of significance to support the claim
OptionA is the correct answer as marked