/*! 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

Finger length Is your index finger longer than your ring finger? Or is it the other way around? It isn't the same for everyone. To investigate if there is a relationship between gender and relative finger length, we selected a random sample of 460U.S. high school students who completed a survey. The two-way table shows the results.


Do these data provide convincing evidence at the =0.10level of an association between gender and relative finger length in the population of students who completed the survey?

Last python Refer to Exercises 28 and 30.

a. Verify that the conditions for inference are met.

b. Use Table C to find the P-value. Then use your calculator鈥檚 蠂2 cdf command.

c. Interpret the P-value from the calculator.

d. What conclusion would you draw using 伪=0.10?

Fewer TVs? The United States Energy Information Administration periodically surveys a random sample of U.S. households to determine how they use energy. One of the variables they track is how many TVs are in a household (None, 1,2,3,4,or5or more). The computer output compares the distribution of number of TVs for households in 2009and2015.

Cell Contents: Count

Expected count

Contribution to Chi-square

Chi-Squarerole="math" localid="1654195309908" =137.137, DF =5, P-Value =0.000

a. Which chi-square test is appropriate to analyze these data? Explain your answer.

b. Show how the numbers 252and 14.113were obtained for the 2009/Nonecell.

c. Which 3cells contribute most to the chi-square test statistic? How do the observed and expected counts compare for these cells?

Cocaine addicts need cocaine to feel any pleasure, so perhaps giving them an antidepressant drug will help. A 3-year study with 72chronic cocaine users compared an antidepressant drug called desipramine with lithium (a standard drug to treat cocaine addiction) and a placebo. One-third of the subjects were randomly assigned to receive each treatment. At the end of the study, researchers recorded whether or not the subjects relapsed. Which of the following conditions must be satisfied to perform the appropriate chi-square test using the data from this study?

I. The population distribution is approximately Normal.

II. The treatments were randomly assigned.

III. The observed counts are all at least 5.

a. I only

b. II only

c. III only

d. II and III

e. I, II, and III

The manager of a high school cafeteria is planning to offer several new types of food for student lunches in the new school year. She wants to know if each type of food will be equally popular so she can start ordering supplies and making other plans. To find out, she selects a random sample of 100students and asks them, 鈥淲hich type of food do you prefer: Ramen, tacos, pizza, or hamburgers?鈥 Here are her data:

Which of the following is false?

a. A chi-square distribution with k degrees of freedom is more right-skewed than a chi square distribution with k+1 degrees of freedom.

b. A chi-square distribution never takes negative values.

c. The degrees of freedom for a chi-square test are determined by the sample size.

d. P(2>10) is greater when df=k+1 than when df=k

e. The area under a chi-square density curve is always equal to 1

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