Question

The following question was asked to random sample of people, Which holiday do you prefer? The table below shows the data

Beach Mountain

Men 209 280

Women 225 248

Based on the above data can you conclude that there is a relationship between the type of vacation and Gender ? Use α = 0.01.

Answer 1

The hypothesis being tested is:

H0: There is no relationship between the type of vacation and Gender

Ha: There is a relationship between the type of vacation and Gender

		Beach	Mountain	Total
Men	Observed	209	280	489
	Expected	220.61	268.39	489.00
	O - E	-11.61	11.61	0.00
	(O - E)² / E	0.61	0.50	1.11
Women	Observed	225	248	473
	Expected	213.39	259.61	473.00
	O - E	11.61	-11.61	0.00
	(O - E)² / E	0.63	0.52	1.15
Total	Observed	434	528	962
	Expected	434.00	528.00	962.00
	O - E	0.00	0.00	0.00
	(O - E)² / E	1.24	1.02	2.26
		2.26	chi-square
		1	df
		.1324	p-value

The p-value is 0.1324.

Since the p-value (0.1324) is greater than the significance level (0.01), we fail to reject the null hypothesis.

Therefore, we cannot conclude that there is a relationship between the type of vacation and Gender.

Please give me a thumbs-up if this helps you out. Thank you!