In 2006, a sample of 200 in-store shoppers showed that 42 paid by debit card. In 2009, a sample of the same size showed that 80 paid by debit card. (a) Formulate appropriate hypotheses to test whether the percentage of debit card shoppers increased. (b) Carry out the test at alpha
Answers
Hope it help youuuuu
The percentage of debit shoppers has increased.
21% (2006) < 40% (2009)
In 2006, the percentage of debit shoppers is 21%.
In 2009, the percentage of debit shoppers is 40%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
In 2006:
A sample of 200 in-store shoppers showed that 42 paid by debit card.
The percentage of debit shoppers in 2006.
= 42/200 x 100
= 42/2
= 21%
In 2009:
A sample of the same size showed that 80 were paid by debit card.
The percentage of debit shoppers in 2009.
= 80/200 x 100
= 40%
Thus,
The percentage of debit shoppers has increased.
21% (2006) < 40% (2009)
In 2006, the percentage of debit shoppers is 21%.
In 2009, the percentage of debit shoppers is 40%.
Learn more about percentages here:
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Step-by-step explanation:
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