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Mathematics, 22.02.2020 17:36 kutie543

Perry is considering trying to open a new business within the next few years, and he is doing research to determine what kind of businesses tend to be successful. So far, he has compiled two tables. The first shows the number of businesses of several types started in Perry’s city over the course of two years, and the number of those businesses which did not succeed and were forced to shut down within two years of opening. The second deals with separate records of successful new businesses, showing how much profit those new businesses turned over two years. Businesses on the boundary lines fall in the lower category.

Type
Food
Retail
Financial
Service
Opened
3,193
2,280
1,898
5,045
Closed
1,977
1,626
1,443
3,548

Up to $25k
$25-50k
$50-75k
$75-100k
Over $100k
Food
945
623
601
258
114
Retail
813
548
347
188
63
Financial
316
244
195
86
51
Service
979
739
432
174
124

Using the tables as experimental data, determine whether it is more likely for a new food establishment to succeed and earn up to $25,000, or whether it is more likely for a new financial establishment to succeed and earn profits in either the $25,000-50,000 range or the $50,000-75,000 range, and how much more likely the one situation is than the other. Express all probabilities as percentages to two decimal places, and express differences by number of percentage points (for example, 23% is 5 percentage points greater than 18%).

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