The Z-statistic for this hypothesis test was z = -2.95. Based on this 2-statistic, what is the P-value and what is
the conclusion the researchers should reach for this
test?
Find the z-table here.
A study was performed to investigate whether teens and
adults had different habits when it comes to consuming
meat-free meals. In particular, the researchers were
interested in the relationship between pa, the proportion
of teens who would report eating at least one meat-free
meal in the past week, and P2, the proportion of adults
who would report eating at least one meat-free meal in
the past week. A random sample of 875 teens and a
separate random sample of 2,323 adults found that 555
of the teens and 1,601 of the adults reported eating at
least one meat-free meal in the past week. The
conditions for inference were checked and verified.
The P-value = 0.0016 and, because this P-value is
very small, the conclusion should be that teens and
adults differ in the proportion of their meat-free meals.
O The P-value = 0.0031 an
very small, the conclusion should be that teens and
adults differ in the proportion of their meat-free meals.
O The P-value = 0.0016 and, because this P-value is
large, there is not enough evidence to conclude that
there is a significant difference in the proportions of
the meat-free meals that are ten by teens and
adults.