Question

A medical trial is conducted to test whether or not a certain drug can treat a
certain allergy. Upon trial, the t-value is computed as 1.311. Sketch and
complete the table below to discuss the findings of the medical trial.
3
3
-2.5
-2
- 1.5
. 1
-0.5
o
0.5
1
1.5 2 2.5
Decision:
Ho
The computed
t-value is at the
на:
region
Justify your decision by writing an explanation in 5-10 sentences.​

Answer 1

Answer:

j.o.i.n g.i.r l.s exj-jxgx-oqo

Answer 2

Answer:

The drug is capable of treating a certain allergy.

Null hypothesis not rejected.

Step-by-step explanation:

The hypotheses to be tested regarding the medical trial, of a particular drug are stated as follows:

Null hypothesis:

H₀: The drug is effective in treating a specific allergy.

Alternate hypothesis:

Hₐ: The drug is not effective in treating a specific allergy.

The alternate hypothesis specifies that the test is two-tailed.

It is mentioned that the t-statistic value was computed as,

$t=1.311$

The point values on the test-statistic distribution, beyond which the critical region or the rejection region for the hypothesis test is defined, are signified by the critical value.

From the distribution curve, it can be observed that the right critical t-value is approximately 2.3, i.e.,

$t_{\alpha/2,\ df}\approx 2.3$

Decision Rule:

The null hypothesis will be rejected, provided that the computed test statistic value is

• More than the right critical value, or
• Less than the left critical value.

Decision:

The test statistic value ($t=1.311$) is less than the critical value $(t_{\alpha/2,\ df}\approx 2.3)$. That is the test statistic is in the acceptance region.

The critical value and test statistic value are plotted on the graph below.

Hence, the null hypothesis was failed to be rejected.

Conclusion:

The medical trial suggested that the drug is capable of treating a certain allergy.

The complete table is attached below.