Question

For problem 2, perform a chi-square, χ2, independence test using the critical value approach, provided the conditions for using the test are met. You MUST state the hypotheses and the significance level, show the calculations to obtain the expected frequencies, show the calculations and/or calculator steps used to obtain the critical value and to compute the value of the test statistic. You must then state your decision & conclusion. Be sure to round, χ2 to 3 decimal places. You must show all work, hypotheses, etc. to receive full credit. 49 students who were randomly selected by statistics students were asked a series of questions, (they were asked gender and whether or not they eat breakfast in the morning). The sample results are given below. At the 0.10 significance level, do the data provide sufficient evidence to conclude that a relationship exists between gender and whether or not a person eats breakfast in the morning? count of eat breakfast? No Yes Female 11 12 Male 12 14

          For problem 2, perform a chi-square, χ2, independence test using
the critical value approach, provided the conditions for using the
test are met. You MUST state the hypotheses and the significance
level, show the calculations to obtain the expected frequencies,
show the calculations and/or calculator steps used to obtain the
critical value and to compute the value of the test statistic. You
must then state your decision & conclusion. Be sure to round,
χ2 to 3 decimal places. You must show all work, hypotheses, etc. to
receive full credit.
49 students who were randomly selected by statistics students
were asked a series of questions, (they were asked gender and
whether or not they eat breakfast in the morning). The sample
results are given below. At the 0.10 significance level, do the
data provide sufficient evidence to conclude that a relationship
exists between gender and whether or not a person eats breakfast in
the morning?
count of eat breakfast?
No
Yes
Female 
11
12
Male
12
14

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Added by Robin D.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert David Nguyen

08/09/2022

Step 1

Alternative Hypothesis (H1): There is an association between gender and whether a person eats breakfast in the morning. **Significance Level:** α = 0.10 ** Show more…

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For problem 2, perform a chi-square, χ2, independence test using the critical value approach, provided the conditions for using the test are met. You MUST state the hypotheses and the significance level, show the calculations to obtain the expected frequencies, show the calculations and/or calculator steps used to obtain the critical value and to compute the value of the test statistic. You must then state your decision & conclusion. Be sure to round, χ2 to 3 decimal places. You must show all work, hypotheses, etc. to receive full credit. 49 students who were randomly selected by statistics students were asked a series of questions, (they were asked gender and whether or not they eat breakfast in the morning). The sample results are given below. At the 0.10 significance level, do the data provide sufficient evidence to conclude that a relationship exists between gender and whether or not a person eats breakfast in the morning? count of eat breakfast? No Yes Female 11 12 Male 12 14

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Transcript

00:01 Hi, i'm david and i'm to help you answer your question.

00:03 Now let me bring up your question here.

00:06 In the question here we are going to discuss about the hyperst testing.

00:10 Here we want to test the independence between the two variables about the gender and whether or not the person either preference or not.

00:21 So we have the known hypothesis that there is no association between gender, gender and eating breakfast and then in this question we're given the table of the frequencies of the genders and eating breakfast so let me draw the table of the frequency here we will have this will be one two and this will be and we will be and this will be the no breakfast and yes breakfast and it will be the total and this one will be the female and this will be the male.

01:16 This and answer the total.

01:18 So we have the value for the female will be 11.

01:21 12, the total will be the 23.

01:24 For the male will be the 12, 14, there will be the 26.

01:29 And the total here will be the 23.

01:32 This will be the 26 and the total will be the 49.

01:38 And from here we will have to compute the expected count.

01:42 So i have to formally the table on the expected count here so this one again this will have the no preference yes and there will be the female then there will be the male to find the first sale we have to take the total for the column times the total of the row devine with the total for all the pupil will be the 23 times in the 23 devine with the 49 and if we compute it we get equal to 10 point seven 9, 6, i round to the 3 decimal places.

02:23 And similarly for the next one, we turn the 26, time with the 23, divided by the 49.

02:31 Then we have the 26 times 23, divided by 49, equal to the 12 bond to 04.

02:41 And the next one will turn the 23 times when the 26 over the 49.

02:47 It will also equal to the 12 bond 204...

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