Question

Researchers routinely choose an alpha level of 0.05 for testing their hypotheses. What are some experiments for which you might want a lower alpha level (e.g., 0.01)? What are some situations in which you might accept a higher level (e.g., 0.1)?

Answer #1

(a) EXPERIMENTS FOR WHICH YOU MIGHT WANT A LOWER ALPHA LEVEL (e.g., 0.01):

In experiments involving as serious as safety, we want to be as accurate as posible, we want a lower level (e.g., 0.01).

(b) SITUATIONS IN WHICH YOU MIGHT ACCEPT A HIGHER LEVEL (e.g., 0.1):

For other non-serious situations, where we do not want to be very accurate: For example: yoy are experiment on whether your friends prefer pizza with or without pepperoni: you ould use a higher level of (e.g., 0.1) because it is not as serious.

Do you think that using a significance level of is appropriate
for all experiments? In the early stages of research and
development work is there a lot of harm in identifying a factor as
important when it really is not? Would that seem to justify higher
levels of significance such as $\alpha = 0.10$ or perhaps even
$\alpha = 0.15$ in some situations?

If your p-value is 0.065 and your alpha level is 0.1 then you
would:
reject the Ho
fail to reject the Ho
unable to determine from this information
accept the Ho
If your p-value is 0.065 and your alpha level is 0.05 then you
would:
reject the Ho
fail to reject the Ho
unable to determine from this information
accept the Ho
If your p-value is 0.065 and your alpha level is 0.01 then you
would:
reject the Ho
fail...

If your p-value is 0.0061 and your alpha level is 0.1 then you
would:
reject the Ho
fail to reject the Ho
unable to determine from this information
accept the Ho
If your p-value is 0.0061 and your alpha level is 0.05 then you
would:
reject the Ho
fail to reject the Ho
unable to determine from this information
accept the Ho
If your p-value is 0.0061 and your alpha level is 0.01 then you
would:
reject the Ho
fail...

If your p-value is 0.043 and your alpha level is 0.1 then you
would:
reject the Ho
fail to reject the Ho
unable to determine from this information
accept the Ho
If your p-value is 0.043 and your alpha level is 0.05 then you
would:
reject the Ho
fail to reject the Ho
unable to determine from this information
accept the Ho
If your p-value is 0.043 and your alpha level is 0.01 then you
would:
reject the Ho
fail...

1.Suppose we are testing a set of hypotheses using a
significance level of 0.05. For which of the following p-values
would we reject the null hypothesis? Select all that apply.
A. 0.06
B. 0.11
C. 0.02
D. 0.005
2. To increase the power of a hypothesis test, we can (select
all that apply):
A. Increase the sample size
B. Decrease the sample size
C. Increase the significance level
D. Decrease the significance level

1. Choose the correct statistical decision at the 0.05
significance level based on the given research finding.
A researcher measured the amount of relationship as “4.68” from
the normal distribution with mean = 2 and standard deviation =
1.
A. The observed sample relationship is inside the critical
region. B. The observed sample relationship is outside the critical
region. C. We need more information to decide.
D. There is no significant relationship
2. When the p-value is observed as 0.014,...

Information on a large packet of seeds indicates that the
germination rate is p0=92%. Some researchers claim that the
proportion of germination should be higher than that.
(a) (1 point) For testing this claim, what is the appropriate
null hypothesis and alternative hypothesis?
(b) (2 points) Now 300 seeds are chosen randomly with 290
germinated to test this claim. Compute the test statistic and get
the rejection region at the significance level α = 0.05.
(c) (2 points) Report the...

Researchers wanted to test the efficacy of 6 different
insect sprays in agricultural land. To this end, 72 plots are
available for the study. Each spray is randomly spread on 12 plots.
After some time, they count the number of insects found in each
plot.
a. [3] We run an ANOVA test (see table below). What can
you conclude? Be specific (give the hypotheses).
Df
Sum Sq Mean Sq F value Pr(>F)
spray 5 2669 533.8 34.7 <2e-16 ***
Residuals...

Q2. This question is testing your understanding of some
important concepts about hypothesis testing and confidence
intervals. For each part below, you must explain your
answer.
(a) Suppose we are performing a one-sample t test at the
10% level of significance where the
hypotheses are H0 : µ = 0 vs H1 : µ =/ 0. The number of
observations is 15. What is the critical value?
(b) Suppose we are performing a one-sample t test with
H0 : µ...

1 Errors & Significance
A team of researchers has developed a new weight loss
supplement. They want to know if patients who use the new
supplement for four weeks lose any weight. The supplement has some
minor side effects including mild headaches and achiness. If the
researchers obtain evidence of weight loss they will proceed to
produce the supplement commercially and sell it for a large profit.
If they do not obtain evidence of weight loss, the project will be...

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