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23. Withholding Treatment. Several years ago, a poll by Gallit asked 1528 adults the following question: "The New Jersey Suprem: Court recently ruled that all life-sustaining medical treatment may b. withheld or withdrawn from terminally ill patients, provided that is what the patients want or would want if they were able to express their wishes. Would you like to see such a ruling in the state in which you live, or not?" The data on the WeissStats site give the responses by opinion and educational level. Use the technology of your choice to decide, at the 1 % significance level, whether the data provide sufficient evidence to conclude that opinion on this issue and educational level are associated.

Short Answer

Expert verified

As a result, the number of busy tellers seen throughout 25 spot checks is 1, 2, 2,4,5,7, and 4 times.

Step by step solution

01

Given Information

The statistics for the number of busy tellers seen during 25 spot inspections is provided. The information is provided below.

65415
64555
35243
45064
34236
02

Subpart (a) Step 1:

(a)

Single-value grouping:

To group quantitative data, utilise single-value classes in which each class represents a single potential value; this approach of grouping quantitative data is referred to as single-value grouping.

The classes are grouped for the number of busy tellers seen during 25 spot checks using the single grouping method: 0,1,2,3,4,5, and 6.

The frequency distribution for the number of busy tellers observed during 25 spot inspections must be constructed.

Below is the frequency distribution for the number of busy tellers observed during 25 spot checks.

Category
Frequency
01
12
22
34
45
57
64

As a result, the number of busy tellers seen throughout 25 spot checks is 1, 2, 2,4,5,7, and 4 times.

03

Subpart (a) Step 2;

The relative frequency distribution for the number of busy tellers observed throughout 25 spot inspections must be constructed.

The number of busy tellers seen throughout 25 spot inspections is represented by the relative frequency distribution shown below.

Category
Relative Frequency
00.04
10.08
20.08
30.16
40.20
50.28
60.16

0.04, 0.08,0.08,0.16,0.20,0.28, and 0.16 are the relative frequencies for the number of busy tellers seen throughout 25 spot checks.

04

Subpart (b) Step 1:

(b)

For the number of busy tellers, we must create a relative frequency histogram.

The frequency histogram above has a relative frequency histogram, which is shown below.

05

Subpart (c) Step 1:

(c)

The form of the distribution of the number of busy tellers seen during 25 spot checks is left skewed, as seen in the relative frequency histogram above. As a result, the number of busy tellers data set follows a normal distribution.

06

Subpart (d) Step 1:

(d)

The number of busy tellers distribution is left skewed, as the form of the relative frequency histogram suggests the left tail is longer than the right tail.

07

Subpart (e) Step 1:

(e)

For the number of busy tellers seen throughout 25 spot inspections, we must create a dot plot.

The dot plot representing the number of busy tellers was created using Minitab software.

08

Subpart (f) Step 1:

(f)

The data for the number of busy tellers follows a left skewed distribution, as seen by the diagrams, relative frequency diagram, and dot plot.

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Most popular questions from this chapter

Step 1 of Procedure 13.2 gives generic statements for the null and alternative hypotheses of a chi-square independence test. Use the terms statistically dependent and statistically independent, introduced on page 496, to restate those hypotheses.

12.50 U.S. Hospitals. The American Hospital Association publishes 12.30 U.S. information about U.S. hospitals and nursing homes in Hospital Statistics. The following contingency table provides a cross classification of U.S. hospitals and nursing homes by type of facility and number of beds.

In the following questions, the term hospital refers to either a hospital or nursing home.


24 or fewer25-7475 or moreTotal
General260158635575403
Psychiatric24242471737
Chronic132236
Tuberculosis0224
Other25177208410
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a. How many hospitals have at least 75 beds?

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c. How many hospitals are psychiatric facilities with at least 75 beds?

d. How many hospitals either are psychiatric facilities or have at least 75 beds?

e. How many general facilities have between 25 and 74 beds?

f. How many hospitals with between 25 and 74 beds are chronic facilities?

g. How many hospitals have more than 24 beds?

The t-table has entries for areas of 0.10,0.05,0.025,0.01and0.005. In contrast, the ฯ‡2-table has entries for those areas and for 0.995,0.99,0.975,0.95and 0.90.Explain why the t-values corresponding to these additional areas can be obtained from the existing t-table but must be provided explicitly in the ฯ‡2-table.

The Quinnipiac University Poll conducts nationwide surveys as a public service and of research. This problem is based on the results of once such poll. Independent simple random samples of 300residents each in read (predominantly Republiclian), blue (predominantly Democratic) and purple (mixed) states were asked how satisfied they were with the way things are going today. The following table summarizes the responses.

At the 10%significance level, do the data provide sufficient evidence to conclude that the satisfaction-level distributions differ among residents of red, blue and purple states?

In each of Exercises 12.11-12.16, we have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fir text and the sample size. In each case, decide whether Assumptions 1 and 2 for using that text are satisfied.

Sample size : n= 50.

Relative frequencies: 0.22 , 0.22 , 0.25 , 0.30 , 0.01.

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