7. The researcher wanted to determine whether her non-random sample of 20 hospit
ID: 3325842 • Letter: 7
Question
7. The researcher wanted to determine whether her non-random sample of 20 hospitalized children with cancer were similar to the hospital population with regard to their social status: upper, middle, and working class. From the hospital records, she determined that, for the previous year, the hospital had the following social status distribution: high (10%), middle (65%), and low (25%). Let = .05. Using the data set provided
Number
Social status
1
low
2
middle
3
high
4
high
5
middle
6
low
7
low
8
middle
9
high
10
high
11
low
12
Low
13
High
14
Middle
15
Low
16
Middle
17
Middle
18
Middle
19
Middle
20
Middle
in SPSS perform chi-square goodness-of-fit test. Attach the two output tables (social status and test statistics).
7.1 State the null hypothesis.
7.2 State the alternative hypothesis.
7.3 Based on the SPSS output, would you reject or retain the null hypothesis? What were the test statistic and p value in the output table?
7.4 What is the critical value for 2 df at = .05? Comparing the chi-square statistic to the critical value, would you reject or retain the null hypothesis? Find the critical value using either the 2 distribution table or the online software, QuickCals GraphPad.
Number
Social status
1
low
2
middle
3
high
4
high
5
middle
6
low
7
low
8
middle
9
high
10
high
11
low
12
Low
13
High
14
Middle
15
Low
16
Middle
17
Middle
18
Middle
19
Middle
20
Middle
Explanation / Answer
Result:
in SPSS perform chi-square goodness-of-fit test. Attach the two output tables (social status and test statistics).
7.1 State the null hypothesis.
social status distribution are high (10%), middle (65%), and low (25%)
7.2 State the alternative hypothesis.
social status distribution are different from high (10%), middle (65%), and low (25%)
7.3 Based on the SPSS output, would you reject or retain the null hypothesis? What were the test statistic and p value in the output table?
Social status
Observed N
Expected N
Residual
low
6
5.0
1.0
Middle
9
13.0
-4.0
High
5
2.0
3.0
Total
20
Test Statistics
Social status
Chi-Square
5.931a
df
2
Asymp. Sig.
.052
a. 1 cells (33.3%) have expected frequencies less than 5. The minimum expected cell frequency is 2.0.
Test statistic =5.931
P=0.052.
7.4 What is the critical value for 2 df at = .05?
5.991
Comparing the chi-square statistic to the critical value, would you reject or retain the null hypothesis? Find the critical value using either the 2 distribution table or the online software, QuickCals GraphPad.
Calculated chi square 5.931 < 5.991 critical value at 0.05 level.
Ho is not rejected.
Social status
Observed N
Expected N
Residual
low
6
5.0
1.0
Middle
9
13.0
-4.0
High
5
2.0
3.0
Total
20
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