Question

A researcher wanted to know if one's race had an impact on the number of interactions...

A researcher wanted to know if one's race had an impact on the number of interactions with police over the span of a month. The following is a random sample of interactions with police grouped by race. Test the null hypothesis that the number of interactions with police does not vary by race.----ANOVA METHOD----

White Black Asian Native American or Alaska Native Native Hawaiian or other Pacific Islander
1 7 3 8 7
6 7 4 4 5
2 9 3 9 6
1 4 1 3 7
0 8 2 1 1
0 0
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Answer #1

We have to perform one way anova on the five groups.

Null Hypothesis: the number of interactions with police DOES NOT vary by race.

Alternate Hypothesis: the number of interactions with police DOES vary by race.

We will choose 95% confidence level for the ANOVA.

We will perform anova on ti 84.

Step 1: input the data into list L1 L2 L3 L4 and L5.

To do this Press [Stat] and then press Edit.

TI-84 Plus Silver Edition TEXAS INSTRUMENTS EDIT CALC TESTS 1. Edit. SortAS 3: SortDC 4:CirList 5: SetUpEditor STAT PLOT F1 T

TI-84 Plus Silver Edition TEXAS INSTRUMENTS L1 L3 HONHO NNNMII MTMHN L306) = STAT PLOT F1 TBLSETF2 FORMAT F3 CALC F4 Y- WINDO

TI-84 Plus Silver Edition TEXAS INSTRUMENTS L4 LG 4 INWONJI LGC1= STAT PLOT F1 TBLSETF2 FORMAT F3 CALC F4 Y- WINDOW ZOOM TRAC

Step 2: To perform the one-way ANOVA. Press [Stat] and then scroll over to TESTS. Then scroll down to ANOVA and press [Enter].

TI-84 Plus Silver Edition TEXAS INSTRUMENTS EDIT CALC TESTS B72-ProPZInt... C: X2-Test... D:XZGOF-Test... E: 2-SAMPFTest... F

Enter the lists where the data is stored separated by commas, then add a closing parenthesis ) and then press [Enter]

TI-84 Plus Silver Edition TEXAS INSTRUMENTS INOVAKL1,L2,L3, STAT PLOT F1 TBLSET F2 FORMAT F3 CALC F4 Y- WINDOW ZOOM TRACE TAB

Note: To make L1 appear, press 2nd and then press 1. Similar for other list by looking at appropriate number aftee pressing 2nd.

Step 3: Interpret the results.

TI-84 Plus Silver Edition TEXAS INSTRUMENTS and-WIYANOVA F=3.739285714 P=.019836651 Factor df=4 SS=83.76 MS=20.94 STAT PLOT F

TI-84 Plus Silver Edition TEXAS INSTRUMENTS Onc-way ANOVA † MS=20.94 Error df=20 SS=112 MS=5.6 SXF=2.36643191 STAT PLOT F1 TB

The F-statistic for the test is 3.74 and the corresponding p-vaule is 0.02. Since this

significance value is 0.02 (i.e., p = .02), which is below 0.05. and, therefore, we reject the null hypothesis.

there is a statistically significant difference in the mean number of interactions with the police for different race.

If it helps kindly upvote.

Comment below for doubt

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