Question

	Diarrhea
Ate dessert	Yes	No	Total
Yes, apple dessert	7	2	9
Yes, mango dessert	10	5	15
No (reference point)	2	10	12
Total	19	17	72

how i could enter this data at spss and answer this question

2.2. Is there a relationship between having diarrhea and ate apple dessert or not eating any desserts (reference point) from them at 5% sig., level? Set the null hypothesis, choose a suitable analysis method to quantify this relationship, and write down the conclusion by providing all related statistical results. (6 marks)

2.3. Is there a relationship between having diarrhea and ate mango dessert or not eating any desserts (reference point) from them at 5% sig., level? Set the null hypothesis, choose a suitable analysis method to quantify this relationship, and write down the conclusion by providing all related statistical results. (6 marks)

Answer 1

The entered data in SPSS is:

The SPSS output is:

2.2

The hypothesis being tested is:

H0: There is no relationship between having diarrhea and ate apple dessert or not eating any desserts (reference point)

Ha: There is a relationship between having diarrhea and ate apple dessert or not eating any desserts (reference point)

		Col 1	Col 2	Total
Row 1	Observed	7	2	9
	Expected	3.86	5.14	9.00
	O - E	3.14	-3.14	0.00
	(O - E)² / E	2.56	1.92	4.48
Row 2	Observed	2	10	12
	Expected	5.14	6.86	12.00
	O - E	-3.14	3.14	0.00
	(O - E)² / E	1.92	1.44	3.36
Total	Observed	9	12	21
	Expected	9.00	12.00	21.00
	O - E	0.00	0.00	0.00
	(O - E)² / E	4.48	3.36	7.84
		7.84	chi-square
		1	df
		.0051	p-value

The p-value is 0.0051.

Since the p-value (0.0051) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is a relationship between having diarrhea and ate apple dessert or not eating any desserts (reference point).

2.3

The hypothesis being tested is:

H0: There is no relationship between having diarrhea and ate mango dessert or not eating any desserts (reference point)

Ha: There is a relationship between having diarrhea and ate mango dessert or not eating any desserts (reference point)

		Col 1	Col 2	Total
Row 1	Observed	10	5	15
	Expected	6.67	8.33	15.00
	O - E	3.33	-3.33	0.00
	(O - E)² / E	1.67	1.33	3.00
Row 2	Observed	2	10	12
	Expected	5.33	6.67	12.00
	O - E	-3.33	3.33	0.00
	(O - E)² / E	2.08	1.67	3.75
Total	Observed	12	15	27
	Expected	12.00	15.00	27.00
	O - E	0.00	0.00	0.00
	(O - E)² / E	3.75	3.00	6.75
		6.75	chi-square
		1	df
		.0094	p-value

The p-value is 0.0094.

Since the p-value (0.0094) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is a relationship between having diarrhea and ate mango dessert or not eating any desserts (reference point).

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