In Exercise, conduct the hypothesis test | Ch 11.2 - 9 BSC

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

ISBN: 9780321836960 18

Solution for problem 9 BSC Chapter 11.2

Elementary Statistics | 12th Edition

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Problem 9 BSC

Problem 9BSC

In Exercise, conduct the hypothesis test and provide the test statistic, critical value, and/or P-value, and state the conclusion.

NYC Homicides For a recent year, the following are the numbers of homicides that occurred each month in New York City: 38, 30, 46, 40, 46, 49, 47, 50, 50, 42, 37, 37. Use a 0.05 significance level to test the claim that homicides in New York City are equally likely for each of the 12 months. Is there sufficient evidence to support the police commissioner’s claim that homicides occur more often in the summer when the weather is better?

Step-by-Step Solution:

Answer:

Step 1 of 2

The expected values for each category, Ei , could be determined. With these observed and expected numbers of cases, the hypotheses can be written as

H0 : O = E

H1 : O $\ne{}$ E

Use a 0.05 significance level

SL. No.	O	p = 1/12	E = np	(O - E )2	(O - E)2/E
1	38	1/12 = 0.083333	42.66667	21.77778	0.510417
2	30	0.083333	42.66667	160.4444	3.760417
3	46	0.083333	42.66667	11.11111	0.260417
4	40	0.083333	42.66667	7.111111	0.166667
5	46	0.083333	42.66667	11.11111	0.260417
6	49	0.083333	42.66667	40.11111	0.940104
7	47	0.083333	42.66667	18.77778	0.440104
8	50	0.083333	42.66667	53.77778	1.260417
9	50	0.083333	42.66667	53.77778	1.260417
10	42	0.083333	42.66667	0.444444	0.010417
11	37	0.083333	42.66667	32.11111	0.752604
12	37	0.083333	42.66667	32.11111	0.752604
Sum	N = 512	1	512	442.6667	10.375

The first step in conducting the significance test is to compute the expected frequency for each outcome given that the null hypothesis is true. For example, the expected frequency of a "1" is 12 since the probability of a "1" coming up is 1/12 and there were a total of 512.

Expected frequency (E) = np

= (512)(1/12)

Step 2 of 1

Chapter 11.2, Problem 9 BSC is Solved

Textbook: Elementary Statistics

Edition: 12

Author: Mario F. Triola

ISBN: 9780321836960

This full solution covers the following key subjects: homicides, test, claim, city, new. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. Since the solution to 9 BSC from 11.2 chapter was answered, more than 1127 students have viewed the full step-by-step answer. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. The answer to “In Exercise, conduct the hypothesis test and provide the test statistic, critical value, and/or P-value, and state the conclusion.NYC Homicides For a recent year, the following are the numbers of homicides that occurred each month in New York City: 38, 30, 46, 40, 46, 49, 47, 50, 50, 42, 37, 37. Use a 0.05 significance level to test the claim that homicides in New York City are equally likely for each of the 12 months. Is there sufficient evidence to support the police commissioner’s claim that homicides occur more often in the summer when the weather is better?” is broken down into a number of easy to follow steps, and 98 words. The full step-by-step solution to problem: 9 BSC from chapter: 11.2 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12.