Question
1. A poll by the National Center for Women and Aging at Brandeis University, 51% of the women over 50 said that aging is not
1. A poll by the National Center for Women and Aging at Brandeis University, 51% of the women over 50 said
that aging is not as bad as they had expected (USA Today, November 19, 2002). In a recent sample of 400
women over 50, 224 said that aging was not as bad as they expected. What critical value of the appropriate
test statistic will be used to test the hypothesis that, in 2005, the percentage of women over 50 who feel that
aging is not as bad as they expected is greater than 51%. Use of 1%. State your answer to 3 places of
decimal.
2. A poll by the National Center for Women and Aging at Brandeis University, 51% of the women over 50 said
that aging is not as bad as they had expected (USA Today, November 19, 2002). In a recent sample of 400
women over 50, 224 said that aging was not as bad as they expected. What calculated value of the
appropriate test statistic will be used to test the hypothesis that, in 2005, the percentage of women over 50 who
feel that aging is not as bad as they expected is greater than 51%. State your answer to 3 places of decimal
3. A pump manufacturer claims that a higher proportion of her Pumpo brand pumps will be operating without
repairs in 5 years than those of a competitor. Records were examined of 100 pumps of each manufacturer put
into service 5 years ago. 67 of the Pumpo pumps and 62 of the competitors pumps were found still working
without repairs. Whatcritical value would be used to test, at the 5% level of significance, that the proportion of
Pumpo pumps operating without repairs is higher than those of the competitor? State your answer to 3 places
of decimal. Find your difference by taking the Pumpo value minus the competitor value. (Note in real life,
and on the exam, you can find your difference either way if you subtract one way you will be doing a right
tailed test and if you subtract the other way you will be doing a lefttailed test but I am asking you take the
Pumpo value minus the competitor value because Moodle is not flexible enough to recognize the alternate
correct answer.)
4. A pump manufacturer claims that a higher proportion of her Pumpo brand pumps will be operating without
repairs in 5 years than those of a competitor. Records were examined of 100 pumps of each manufacturer put
into service 5 years ago. 67 of the Pumpo pumps and 62 of the competitors pumps were found still working
without repairs. Whatcalculated value would be used to test that the proportion of Pumpo pumps operating
without repairs is higher than those of the competitor? Express your answer to 3 places of decimal. Find your
difference by taking the Pumpo value minus the competitor value.
5. find thecritical value of the appropriate test statistic which would be used to test, at the 2.5% level of
significance, the hypothesis that there is relationship between bank employee's standard of dress and their
professional advancement. State your answer to three places of decimal
6. find the calculated value of the appropriate test statistic which would be used to test the hypothesis that
there is relationship between bank employee's standard of dress and their professional advancement. State
your answer to two places of decimal.
7. A market analyst wished to see whether consumers have any preference among five flavours of carbonated
beverage. In a sample of 100 people, 32 chose cherry, 28 chose orange, 16 chose strawberry, 14 chose lime,
and 10 chose grape. If wewish to perform a goodness of fit test on this data, what critical value will we use at
the 5% level of significance. Express your answer to 3 places of decimal.
Select one:
a. There is a preference among the five flavours.
b. There is no preference among the five flavours.
c. This question is making me thirsty, I'll be right back.
8. A market analyst wished to see whether consumers have any preference among five flavours of carbonated
beverage. In a sample of 100 people, 32 chose cherry, 28 chose orange, 16 chose strawberry, 14 chose lime,
and 10 chose grape. If we wish to perform a goodness of fit test on this data, what critical value will we use at
the 5% level of significance. Express your answer to 3 places of decimal.
9. A market analyst wished to see whether consumers have any preference among five flavours of carbonated
beverage. In a sample of 100 people, 32 chose cherry, 28 chose orange, 16 chose strawberry, 14 chose lime,
and 10 chose grape. If we wish to perform a goodness of fit test on this data, what calculated value do we
find? Express your answer to 1 places of decimal.[If you are having difficulty figuring out how to get the
expected counts, ask yourself: if there are 100 people and five flavours and there is no preference for any
flavour over any other flavour i.e. equivalent to people choosing flavours randomly , how many people
would you expect to choose each flavour?]
10. he smaller the observed (calculated) value of chisquared in a goodness of fit test, the ____________
likely the hypothesized model is a good fit to the data.
Select one:
a. more
b. less
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