A researcher is interested in whether people are less able to identify emotions correctly when they are extremely tired.

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A researcher is interested in whether people are less able to
identify emotions correctly when they are extremely tired. It is
known that, using a particular method of measurement, the accuracy
ratings of people in the general population (who are not extremely
tired) are normally distributed with a mean of 82 and a variance of
20. In the present study, however, the researcher arranges to test
50 people who had no sleep the previous night. The mean accuracy
for these 50 individuals was 78. Using the .05 level, what should
the researcher conclude?
Over the next several questions,
Carry out a Z test using the five steps of hypothesis
testing.
Then Figure the 95% confidence interval.
A.
Carry out a Z test using the five steps of hypothesis testing.
Choose the appropriate research hypothesis and a null hypothesis
for the example above. Choose the correct answer below.
Question 24 options:
The research hypothesis is the mean of the sample population is
greater than the mean of the general population. The null
hypothesis is the mean of the sample population is equal to the
mean of the general population.
The research hypothesis is the mean of the populations are the
same. The null hypothesis is the mean of the populations are not
the same.
The research hypothesis is the mean of the populations are not
the same. The null hypothesis is the mean of the populations are
the same.
The research hypothesis is the mean of the sample population is
less than the mean of the general population. The null hypothesis
is the mean of the sample population is greater than or equal to
the mean of the general population.
B.
Determine the​ sample's Z score on the comparison
distribution.
(Round your answer to the nearest two decimal places as
needed)
c.
Decide whether to reject the null hypothesis (for problem you
solved above). Explain. Choose the correct answer below.
Question 27 options:
The sample score is not extreme enough to reject the null
hypothesis. The experiment is inconclusive.
The sample score is not extreme enough to reject the null
hypothesis. The research hypothesis is true.
The sample score is extreme enough to reject the null
hypothesis. The research hypothesis is supported.
The sample score is extreme enough to reject the null
hypothesis. The research hypothesis is false.