Question 9 (1 point) Question 9 options: In Africa in 2011, the number of deaths
ID: 2909950 • Letter: Q
Question
Question 9 (1 point)
Question 9 options:
In Africa in 2011, the number of deaths of a female from cardiovascular disease for different age groups are in the table below ("Global health observatory," 2013). In addition, the proportion of deaths of females from all causes for the same age groups are also in table below.
Table: Deaths of Females for Different Age Groups
Age
5-14
15-29
30-49
50-69
Total
Cardiovascular Frequency
8
16
56
433
513
All Cause Proportion
0.10
0.12
0.26
0.52
Do the data show that the death from cardiovascular disease are in the same proportion as all deaths for the different age groups? Test at the 5% level.
(i) Which of the following statements correctly defines the null hypothesis HO?
A. Deaths from cardiovascular disease in females are not in the same proportion as all deaths for the different age groups
B. Deaths from cardiovascular disease in females are in the same proportion as all deaths for the different age groups
C. neither of these statements is correct for HO
Enter letter corresponding to correct answer
(ii) Which of the following statements correctly defines the alternate hypothesis HA?
A. Deaths from cardiovascular disease in females are in the same proportion as all deaths for the different age groups
B. Deaths from cardiovascular disease in females are not in the same proportion as all deaths for the different age groups
C. neither of these statements is correct for HA
Enter letter corresponding to correct answer
(iii) Enter the level of significance ? used for this test:
Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10
(iv) Are any of the expected frequency values (for which HO is true) for any cell in your table less than 5? Calculate the expected frequencies using technology, the select most correct answer:
A. yes - this will not affect results of hypothesis test
B. yes - this may invalidate results of hypothesis test
C. no - this will not affect results of hypothesis test
D. no - this may invalidate results of hypothesis test
Enter letter corresponding to correct answer. Recommend using (Chi-Square Goodness-of-Fit Applet) to create contingency table of expected and observed frequency values in order to answer this question. BE SURE when entering expected frequency data you select what format you're entering the data ("percent expected", "fraction expected" which includes decimal, or "actual number expected").
(v) Using calculator, spreadsheet, or online calculator, determine test statistic:
Enter value in decimal form rounded to nearest thousandth. Examples of correctly entered answers:
2.010 0.307 1.600 11.019
Recommended online calculator: Chi-Square Goodness-of-Fit Applet
BE SURE when entering expected frequency data you select what format you're entering the data ("percent expected", "fraction expected" which includes decimal, or "actual number expected").
(vi) Using tables, calculator, or spreadsheet: Determine and enter p-value corresponding to test statistic.
Enter value in decimal form rounded to nearest ten-thousandth. Examples of correctly entered answers:
0.0001 0.0021 0.0305 0.6004 0.8143 1.0000
Recommended online calculator: Chi-Square Goodness-of-Fit Applet
BE SURE when entering expected frequency data you select what format you're entering the data ("percent expected", "fraction expected" which includes decimal, or "actual number expected").
(vii) Comparing p-value and ? value, which is the correct decision to make for this hypothesis test?
A. Reject Ho
B. Fail to reject Ho
C. Accept Ho
D. Accept HA
Enter letter corresponding to correct answer.
(viii) Select the statement that most correctly interprets the result of this test:
A. The result is not statistically significant at .05 level of significance. Sufficient evidence exists to support the claim that deaths from cardiovascular disease in females are not in the same proportion as all deaths of females for the different age groups.
B. The result is statistically significant at .05 level of significance. Sufficient evidence exists to support the claim that deaths from cardiovascular disease in females are not in the same proportion as all deaths of females for the different age groups.
C. The result is not statistically significant at .05 level of significance. There is not enough evidence to support the claim that deaths from cardiovascular disease in females are not in the same proportion as all deaths of females for the different age groups.
D. The result is statistically significant at .05 level of significance. There is not enough evidence to support the claim that deaths from cardiovascular disease in females are not in the same proportion as all deaths of females for the different age groups.
Enter letter corresponding to most correct answer
Age
5-14
15-29
30-49
50-69
Total
Cardiovascular Frequency
8
16
56
433
513
All Cause Proportion
0.10
0.12
0.26
0.52
Explanation / Answer
i)
B. Deaths from cardiovascular disease in females are in the same proportion as all deaths for the different age groups
ii)
B. Deaths from cardiovascular disease in females are not in the same proportion as all deaths for the different age groups
iii)
alpha = 5% = 0.05
iv)
C. no - this will not affect results of hypothesis test
v)
TS = 218.7556
vi)
p-value = 0.0000
vii)
p-value < alpha
A) Reject Ho
viii)
B. The result is statistically significant at .05 level of significance. Sufficient evidence exists to support the claim that deaths from cardiovascular disease in females are not in the same proportion as all deaths of females for the different age groups.
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