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More P-values For each of the following, find the P-value using Table C. Then calculate a more precise value using technology.

a. χ2=4.49,df=5

b. χ2=4.49,df=1

Short Answer

Expert verified

Part (a) P-value=0.4812

Part (b) P-value =0.0341

Step by step solution

01

Part (a) Step 1: Given information

χ2=4.49df=5

02

Part (a) Step 2: Calculation

Using excel formula,

=CHIDIST(4.49,5)

P-value=0.4812

03

Part (b) Step 1: Given information

χ2=4.49df=1

04

Part (b) Step 2: Calculation

Using excel formula,

=CHIDIST(4.49,1)

P-value =0.0341

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Most popular questions from this chapter

Where do young adults live? A survey by the National Institutes of Health asked a random sample of young adults (aged 19to 25years), “Where do you live now? That is, where do you stay most often?” Here is the full two-way table (omitting a few who refused to answer and one who reported being homeless):

a. Should we use a chi-square test for homogeneity or a chi-square test for independence in this setting? Justify your answer.

b. State appropriate hypotheses for performing the type of test you chose in part (a). Here is Minitab output from a chi-square test.

c. Check that the conditions for carrying out the test are met.

d. Interpret the P-value. What conclusion would you draw?

Is astrology scientific? The General Social Survey (GSS) asked a random sample of adults their opinion about whether astrology is very scientific, sort of scientific, or not at all scientific. Here is a two-way table of counts for people in the sample who had three levels of higher education:

a. State appropriate hypotheses for performing a chi-square test for independence in this setting.

b. Compute the expected counts assuming that H0is true.

c. Calculate the chi-square test statistic, df, and P-value.

d. What conclusion would you draw?

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, “Which type of food do you prefer: Ramen, tacos, pizza, or hamburgers?” Here are her data:

The chi-square test statistic is

a. (1825)225+(2225)225+(3925)225+(2125)225

b. (2518)218+(2522)222+(2539)239+(2521)221

c. (1825)25+(2225)25+(3925)25+(2125)25

d. (1825)2100+(2225)2100+(3925)2100+(2125)2100

e. (0.180.25)20.25+(0.220.25)20.25+(0.390.25)20.25+(0.210.25)20.25

Munching Froot Loops Kellogg’s Froot Loops cereal comes in six colors:

orange, yellow, purple, red, blue, and green. Charise randomly selected 120 loops and noted the color of each. Here are her data:

Do these data provide convincing evidence at the 5% significance level that Kellogg’s Froot Loops do not contain an equal proportion of each color?

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.

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