/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 36 The nonprofit group Public Agend... [FREE SOLUTION] | 91影视

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The nonprofit group Public Agenda conducted telephone

interviews with three randomly selected groups of parents of high school children. There

were 202 black parents, 202 Hispanic parents, and 201 white parents. One question asked,

鈥淎re the high schools in your state doing an excellent, good, fair, or poor job, or don鈥檛 you

know enough to say?鈥 Here are the survey results:

Do these data provide convincing evidence that the distributions of opinion about high

schools differ for the three populations of parents?

Short Answer

Expert verified

There's persuading prove that conveyances of opinion approximately tall schools contrast for the three populaces of guardians.

Step by step solution

01

Given information

We have been given the opinions of black, Hispanic, and white parents' opinions about high schools.

02

Explanation

a =significanceposition(supposition) The invalidenterprisecountriesthat there is nodiscrepancywithin thedispersionof the categorical variable for each of the populations/ treatments. Theoptionalpropositioncountriesthat there is adifference.

Ho Thedissipationofsuppositionis thesamefor eachrace.
Ha The dissipation of supposition is not the same for each race. The anticipated frequentness E are the item of the column and push add up to, separated by the table add up to.

E_11=(r_1c_1)/n=(68202)/60522.70E_12=(r_1c_2)/n=(68202)/60522.70E_13=(r_1c_3)/n=(68201)/60522.59E_21=(r_2c_1)/n=(205202)/60568.45E_22=(r_2c_2)/n=(205202)/60568.45E_23=(r_2c_3)/n=(205201)/60568.11E_31=(r_3c_1)/n=(196202)/60565.44E_32=(r_3c_2)/n=(196202)/60565.44E_33=(r_3c_3)/n=(196201)/60565.12E_41=(r_4c_1)/n=(72202)/60524.04E_42=(r_4c_2)/n=(72202)/60524.04E_43=(r_4c_3)/n=(72201)/60523.92E_51=(r_5c_1)/n=(64202)/60521.37E_52=(r_5c_2)/n=(64202)/60521.37E_53=(r_5c_3)/n=(64201)/60521.26)

Conditions The conditions for performing a ki-square test of unity/ independence are Arbitrary, Autonomous, Huge counts Random Fulfilled, since the bunches of guardians were aimlessly named. Independent Fulfilled, since the individualities are lower than of all individualities( since there are further than people). Large checks Fulfilled, since all anticipated censuses are at fewest. Since all conditions are fulfilled, it's fitting to carry out a test of unity/ independence.

The value of the test- statistic is also the sum of the ki-square subtotals

^2&=((O-E)^2)/E=((12-22.70)^2)/22.70+((34-22.70)^2)/22.70+((22-22.59)^2)/22.59+((69-68.45)^2)/68.45+((55-68.45)^2)/68.45+((81-68.11)^2)/68.11+((75-65.44)^2)/65.44+((61-65.44)^2)/65.44+((60-65.12)^2)/65.12+((24-24.04)^2)/24.04+((24-24.04)^2)/24.04+((24-23.92)^2)/23.92+((22-21.37)^2)/21.37+((28-21.37)^2)/21.37+((14-21.26)^2)/21.2622.4261

The- value is the liability of getting the regard of the test dimension, or a regard more extraordinary. The- value is the number( or interval) within the column title of the ki-square vehicle table within the reference section containing the value X^2in the rowdf=(r-1)(c-1)=(5-1)(3-1)=8

0.0025<P<0.005

Since the value of Pis less than 0.05

The thesis is rejected

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Most popular questions from this chapter

More candy The two-way table shows the results of the experiment

described in Exercise 27.


Red SurveyBlue Survey
Control Survey
Total
Red Candy13
5
8
26
Blue Candy
7
15
12
34
Total20
20
20
60

a. State the appropriate null and alternative hypotheses.

b. Show the calculation for the expected count in the Red/Red cell. Then provide a

complete table of expected counts.

c. Calculate the value of the chi-square test statistic.

How far away do you live? Conduct a follow-up analysis for the test in Exercise50.

Tuition bills A random sample of U.S. adults was recently asked, 鈥淲ould you support or oppose major new spending by the federal government that would help undergraduates pay tuition at public colleges without needing loans?鈥 The two-way table shows the responses, grouped by age.

Do these data provide convincing evidence of an association between age and opinion about loan-free tuition in the population of U.S. adults?

How to quit smoking Refer to Exercise 37. Which treatment seems to be most effective? Least effective? Justify your choices.

A random sample of traffic tickets given to motorists in a large city is examined. The tickets are classified according to the race or ethnicity of the driver. The results are summarized in the following table.

The proportion of this city's population in each of the racial/ethnic categories listed is as follows.

We wish to test H0: The racial/ethnic distribution of traffic tickets in the city is the same as the racial/ethnic distribution of the city's population.

Assuming H0is true, what is the expected number of Hispanic drivers who would receive a ticket?

a.8

b.10.36

c.11

d.11.84

e.12

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