(a) At a 5% significance level, do the data indicate a significant difference in caffeine consumption between pregnant and infertile women. (b) Are your results significant? Why or why not? (c) Give one interpretation for the p-value in this context.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
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2. A study involving two groups of women from six large city hospitals was
conducted to determine the relationship, if any, of caffeine consumption
between pregnant women and infertile women (defined as not conceiving
after one year of unprotected intercourse). The women were asked about
their daily intake of regular or decaffeinated coffee and tea, as well as
weekly consumption of cola. The 2,817 pregnant women had a mean
daily caffeine intake of 520.5 mg with standard deviation 120.5 mg.
The 1,818 infertile women had a mean daily caffeine intake of 535.2 mg
with standard deviation 176.3 mg.
(a) At a 5% significance level, do the data indicate a significant difference
in caffeine consumption between pregnant and infertile women.
(b) Are your results significant? Why or why not?
(c) Give one interpretation for the p-value in this context. 

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