A researcher is testing a hypothesis of a single mean. The critical z value for a = .05 and a two‑tailed test is +1.96. The obse
1 answer:
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:
Test statistic: z
If , we do not reject the null hypothesis.
If , we reject the null hypothesis.
In this question:
Since , we reject the null hypothesis.
The decision made by the researcher based on this information is to reject the null hypothesis.
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Answer:
Option D -0.67
Step-by-step explanation:
Given : Preference of Brand A =30% ⇒
Preference of Brand B =70% ⇒
Prefer Brand A and are Female = 20% ⇒
Prefer Brand B and are Female = 40% ⇒
To find : Selected consumer is female, given that the person prefers Brand A
Solution : Using Bayes' theorem, which state that
where, P(A) and P(B) are probabilities of observing A and B.
P(B/A)= is a conditional probability where event B occur and A is true
P(A/B)= also a conditional probability where event A occur and B is true.
Now, applying Bayes' theorem,
Therefore, Option D is correct probability that a randomly selected consumer is female, given that the person prefers Brand A -0.67