Compute the value of the test statistic. (Round your answer to 4 decimal places.) x² 13.5599

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Only the part in the red box (it is apart of part b)

The color of the Star Trek uniform represents each
crew-member's work area. In the original Star Trek
series, blue shirts are worn by medical and science
staff, gold shirts are worn by the command division,
and the red shirts were worn by engineering,
security and communications division. We will
statistically assess whether there is a connection
between uniform color and the fatality rate. The
table below shows a sample of how many crew-
members in each area have died onscreen and their
shirt color. Use a =
0.05 to test to see if a crew-
member's fatality onscreen is dependent on their
uniform color.
Alive
Dead
Total
Blue
40
8
48
Gold
22
28
Red
29
27
56
Total
91
41
132
a. Choose the correct null and alternative
hypotheses.
Ho: There is no association between
Star Trek fatalities and uniform color.
H. There is an association between Star
а
Trek fatalities and uniform color.
Ho: There is an association between
Star Trek fatalities and uniform color.
H, There is no association between Star
а
Trek fatalities and uniform color.
b. Compute the test statistic.
Complete the following table of expected
counts. (Round your answers to 4 decimal
places).
Transcribed Image Text:The color of the Star Trek uniform represents each crew-member's work area. In the original Star Trek series, blue shirts are worn by medical and science staff, gold shirts are worn by the command division, and the red shirts were worn by engineering, security and communications division. We will statistically assess whether there is a connection between uniform color and the fatality rate. The table below shows a sample of how many crew- members in each area have died onscreen and their shirt color. Use a = 0.05 to test to see if a crew- member's fatality onscreen is dependent on their uniform color. Alive Dead Total Blue 40 8 48 Gold 22 28 Red 29 27 56 Total 91 41 132 a. Choose the correct null and alternative hypotheses. Ho: There is no association between Star Trek fatalities and uniform color. H. There is an association between Star а Trek fatalities and uniform color. Ho: There is an association between Star Trek fatalities and uniform color. H, There is no association between Star а Trek fatalities and uniform color. b. Compute the test statistic. Complete the following table of expected counts. (Round your answers to 4 decimal places).
b. Compute the test statistic.
Complete the following table of expected
counts. (Round your answers to 4 decimal
places).
Alive
Dead
Blue
33.0909
14.9090
Gold
19.3030
8.6969
Red
38.6060
17.3939
Compute the value of the test statistic. (Round
your answer to 4 decimal places.)
13.5599
c. Compute the p-value. (Round your answer to 4
decimal places.)
p-value
0.0011
d. Interpret the results of the significance test.
O The p-value provides strong evidence
against the null hypothesis. The
association between Star Trek fatalities
and uniform color is statistically
significant.
The p-value provides little evidence
against the null hypothesis. The
association between Star Trek fatalities
and uniform color is not statistically
significant.
Transcribed Image Text:b. Compute the test statistic. Complete the following table of expected counts. (Round your answers to 4 decimal places). Alive Dead Blue 33.0909 14.9090 Gold 19.3030 8.6969 Red 38.6060 17.3939 Compute the value of the test statistic. (Round your answer to 4 decimal places.) 13.5599 c. Compute the p-value. (Round your answer to 4 decimal places.) p-value 0.0011 d. Interpret the results of the significance test. O The p-value provides strong evidence against the null hypothesis. The association between Star Trek fatalities and uniform color is statistically significant. The p-value provides little evidence against the null hypothesis. The association between Star Trek fatalities and uniform color is not statistically significant.
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