A study was conducted to identify the factors affecting quality of sleep for uni

Question

A study was conducted to identify the factors affecting quality of sleep for university students. A survey of 290 university students of different majors aged 17-29 years old revealed that 67.2% of these students suffered from poor sleep and 32.8% had good sleep quality. Further analyses were conducted to assess if the distribution of sleep quality was same for the various age groups of Young (19 years or younger), Middle (over 19 years but less than 24 years old), and Old (24 years or older). The following data shows the sleep quality results for each age group. Select the name of the test that should be used to assess if the distribution of the response is the same for the population of men and the population of women. If the distribution of the sleep quality is the same for the three age populations of university students, what is the expected value of the test statistic If the distribution of the sleep quality is the same for the three age populations of university students, how many young students would you expect to have good sleep The observed chi-square test statistic value was computed to be 4.73. Look up the appropriate bounds for the p-value to help you select the appropriate word(s) needed to complete this conclusion. At a 5% significance level, it appears that the distribution of sleep quality the same for the three age group populations of university students.

Explanation / Answer

4.a.

When we have a contingency table like this, it is

OPTION C: Test of independence [ANSWER]

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4.b

If there is no relationship, the expected and observed values would nearly be equal, so the chi squares statistic will be

OPTION A: 0 [ANSWER]

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4.c.

Note that

E(x) = (Row Total)(Column Total)/(Grand Total) = (26+48+21)*77/(77+167+46) = 25.22 [ANSWER, B]
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4.D

Using a table, at df = (rows-1)(columns-1) = (3-1)(2-1) = 2, we see that

0.05 < P < 0.10

As P > 0.05, then there is no significant relationship, so

OPTION A: IS [ANSWER]

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