Question

A survey asked respondents if they would rather live in a place with a slower pace of life or a place with a faster pace of life. The survey also asked the respondent's gender. Consider the following sample data 

Gender Male Female 230 Preferred Pace of Life Slower No Preference Faster 218 26 

Preferred Pace of Life	Gender
	Male	Female
Slower	230	218
No Preference	22	26
Faster	88	46

(a) Is the preferred pace of life independent of gender? Conduct a hypothesis test using a 0.05 level of significance.

State the null and alternative hypotheses.

H₀: The preferred pace of life is independent of gender.

Ha : The preferred pace of life is not independent of gender.

H₀ : Preferring a slower pace of life is mutually exclusive from preferring a faster pace for both genders.

Ha : Preferring a slower pace of life is not mutually exclusive from preferring a faster pace for both genders.

H₀ : Preferring a slower pace of life is not mutually exclusive from preferring a faster pace for both genders.

Ha : Preferring a slower pace of life is mutually exclusive from preferring a faster pace for both genders.

H₀ : The preferred pace of life is not independent of gender.

Ha : The preferred pace of life is independent of gender.

Find the value of the test statistic. (Round your answer to three decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Reject H₀ . We cannot conclude that the preferred pace of life is not independent of gender.

Do not reject H₀. We cannot conclude that the preferred pace of life is not independent of gender.

Reject H₀. We conclude that the preferred pace of life is not independent of gender.

Do not reject H₀ . We conclude that the preferred pace of life is not independent of gender.

(b) Discuss any differences between the preferences of men and women. (Round your answers to two decimal places.)

The highest percentages are for _______  pace of life by both men and women. However _______ % of women prefer a slower pace compared to _______  % of men, and _______  % of men prefer a faster pace compared to % of women. So, women are more likely than men to prefer a _______  pace while men are more likely than women to prefer a _______  pace.

Answer 1