(a)
To find out what is the sampling distribution of
(a)
Answer to Problem 14.9AYK
Explanation of Solution
In the question, it is given that people with less than
Thus, we can say that
Thus, we have
And the sketch of the normal curve for this distribution is as follows:
(b)
To mark the outcome on the sampling distribution and enter the hypotheses, n,
(b)
Answer to Problem 14.9AYK
The P-value is
Explanation of Solution
In the question, it is given that people with less than
Also, we have,
Now, let us calculate the z, test statistics as:
As we know that if the P-value is less than or equal to the significance level then the null hypothesis is rejected, so we have,
Thus, we conclude that null hypothesis is rejected.
(c)
To use the applet to obtain the P-value for this country and what do you conclude.
(c)
Answer to Problem 14.9AYK
The P-value is
Explanation of Solution
In the question, it is given that people with less than
Also, we have,
Now, using the applet to obtain the P-value for this country, we get,
As we know that if the P-value is less than or equal to the significance level then the null hypothesis is rejected, so we have,
Thus, we conclude that we fail to reject null hypothesis.
(d)
To explain briefly why these P-values tell us that one outcome is strong evidence against the null hypothesis and that the other outcome is not.
(d)
Explanation of Solution
In the question, it is given that people with less than
Now, in part (b) we have given P-value as
From the part (b) that it is low which says that the study outcome would be very unlikely that null hypothesis is true where as in part (c), the P-value is not low which is inconclusive so we fail to reject null hypothesis.
(e)
To find out is the outcome for either study statistically significant at the
(e)
Answer to Problem 14.9AYK
Yes, the outcome for first study is statistically significant at the
Explanation of Solution
In the question, it is given that people with less than
Now, in part (b) we have given P-value as
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Chapter 14 Solutions
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