Answer:
The decision made by the researcher based on this information is to reject the null hypothesis.
Step-by-step explanation:
Two-tailed hypothesis test:
Critical value: [tex]z_c[/tex]
Test statistic: z
If [tex]|z| < |z_c|[/tex], we do not reject the null hypothesis.
If [tex]|z| > |z_c|[/tex], we reject the null hypothesis.
In this question:
[tex]z_c = 1.96, z = -2.05, |z| = 2.05[/tex]
Since [tex]|z| > |z_c|[/tex], we reject the null hypothesis.
The decision made by the researcher based on this information is to reject the null hypothesis.
