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. (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").

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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.

(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").

 
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