A research group wanted to test whether there is an increase in the proportion of organ donors who have died from a drug overdose. To investigate, researchers randomly sampled
200
organ donation cases from 2017 and
100
organ donation cases from 2005. The data from the study are presented in the table below.

Let
p
1
be the proportion of organ donors in 2017 who died from a drug overdose and
p
2
be the proportion of organ donors in 2005 who died from a drug overdose.



2017 Organ donors 2005 Organ donors
Number who died from a drug overdose
29
8
Sample size 200 100


Assume the conditions for the hypothesis test are satisfied. Is there sufficient evidence at
α
=
0.05
to show the proportion of organ donors who died from a drug overdose is higher in 2017 than 2005?



First, identify the null and alternative hypotheses and state the critical value(s). If there are two critical values, us A research group wanted to test whether there is an increase in the proportion of organ donors who have died from a drug overdose. To investigate, researchers randomly sampled
200
organ donation cases from 2017 and
100
organ donation cases from 2005. The data from the study are presented in the table below.

Let
p
1
be the proportion of organ donors in 2017 who died from a drug overdose and
p
2
be the proportion of organ donors in 2005 who died from a drug overdose.



2017 Organ donors 2005 Organ donors
Number who died from a drug overdose
29
8
Sample size 200 100


Assume the conditions for the hypothesis test are satisfied. Is there sufficient evidence at
α
=
0.05
to show the proportion of organ donors who died from a drug overdose is higher in 2017 than 2005?



First, identify the null and alternative hypotheses and state the critical value(s). If there are two critical values, use
±
.

Null hypothesis: $p_1$p1 ≤ $p_2$p2

Alternative hypothesis: $p_1$p1 > $p_2$p2
Critical value(s) = ±1.645
±


.


Null hypothesis: $p_1$p

1 ≤ $p_2$p2



Alternative hypothesis: $p_1$p1 > $p_2$p2
Critical value(s) = ±1.645