National law enforcement noticed an overall decline in crimes among US citizens. This dataset records the number of crimes in each state and the percent change from 2016 to 2017. Let's suppose that leadership would like to conduct a hypothesis test at the 99% significance level that crime has decreased over time (by using percent change). For this part, you should look at the total percent change column to run your test.
Performing the Test
Step 1: Write the null hypothesis/alternative hypotheses below. Determine the tail type.
H0: Crime has not decreased over time (by using percent change).
Ha: Crime has decreased over time (by using percent change).
Tail Type: One-tailed
2016
Total
27,799
2,089
40,849
17,476
129,080
19,862
10,365
4,090
99,974
53,064
3,629
7,376
43,657
25,530
8,998
9,628
23,018
35,646
1,828
19,821
8,494
41,122
10,592
18,666
32,461
3,814
5,235
13,637
2,818
19,786
6,972
50,620
34,596
1,779
52,175
29,531
15,150
49,000
2,030
20,371
3,820
28,203
157,903
6,171
1,229
37,813
19,019
7,162
22,144
2,374
Total
23,724
1,905
40,263
18,028
129,920
19,824
9,626
4,066
98,504
53,094
3,425
7,752
41,427
26,001
8,999
9,687
23,539
33,706
1,795
19,232
8,286
39,666
10,708
18,471
32,592
3,698
5,257
13,671
2,750
19,585
7,189
49,360
35,283
1,711
51,478
27,729
15,200
48,074
1,808
19,541
3,959
28,980
157,584
6,437
1,126
37,158
19,540
7,092
22,682
2,473