The pairs of observations in the following material tell how many convenience stores in a city have been robbed during the year and how far that convenience store is from the nearest police station. Material: Distance (km) Robberies (pcs) 5.8 4 0.2 2 12.3 9 3.7 4 1.4 3 9.5 9 15.0 11 7.7 6 Question: We want to know if the number of robberies is related to the distance of the convenience store from the nearest police station. (a) What hypothesis should be tested? Clearly formulate both the null and counter hypothesis and verbally explain their interpretation. (b) Test the hypothesis you just formed at the 5% significance level. (c) Repeat (b) at the 1% significance level.
The pairs of observations in the following material tell how many convenience stores in a city have been robbed during the year and how far that convenience store is from the nearest police station.
Material:
Distance (km) Robberies (pcs)
5.8 4
0.2 2
12.3 9
3.7 4
1.4 3
9.5 9
15.0 11
7.7 6
Question:
We want to know if the number of robberies is related to the distance of the convenience store from the nearest police station.
(a) What hypothesis should be tested? Clearly formulate both the null and counter hypothesis and verbally explain their interpretation.
(b) Test the hypothesis you just formed at the 5% significance level.
(c) Repeat (b) at the 1% significance level.
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