Question

In: Statistics and Probability

A researcher is interested in investigating whether living situation and pet ownership are dependent. The table...

A researcher is interested in investigating whether living situation and pet ownership are dependent. The table below shows the results of a survey.

Frequencies of Living Situation and Pet

SingleFamilyCouple

Dog809171

Cat1039872

Various444342

None685942

What can be concluded at the αα = 0.05 significance level?

What is the correct statistical test to use?

Paired t-test

Homogeneity

Goodness-of-Fit

Independence


What are the null and alternative hypotheses?
H0:H0:

Pet ownership and living situation are independent.

Pet ownership and living situation are dependent.

The distribution of pets is not the same for each living situation.

The distribution of pets is the same for each living situation.




H1:H1:

Pet ownership and living situation are independent.

The distribution of pets is the same for each living situation.

The distribution of pets is not the same for each living situation.

Pet ownership and living situation are dependent.

The test-statistic for this data =  (Please show your answer to three decimal places.)

The p-value for this sample = (Please show your answer to four decimal places.)

The p-value is Select an answer less than (or equal to) greater than  αα

Based on this, we should

fail to reject the null

accept the null

reject the null


Thus, the final conclusion is...

There is insufficient evidence to conclude that the distribution of pets is not the same for each living situation.

There is sufficient evidence to conclude that pet ownership and living situation are independent.

There is sufficient evidence to conclude that the distribution of pets is not the same for each living situation.

There is insufficient evidence to conclude that pet ownership and living situation are dependent.

There is sufficient evidence to conclude that pet ownership and living situation are dependent.

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

A psychologist is interested in investigating whether people who never owned a pet are happier after...
A psychologist is interested in investigating whether people who never owned a pet are happier after getting a pet. A questionnaire about their level of happiness is administered to a group of 20 to 29 year-olds when they before they get a pet and after they get a pet. The data are below. Before Pet After Pet 10 15 9 9 11 10 11 5 9 19 17 15 Calculate a t-statistic to compare the happiness levels before and after...
A researcher is interested in investigating whether religious affiliation and the brand of sneakers that people...
A researcher is interested in investigating whether religious affiliation and the brand of sneakers that people wear are associated. The table below shows the results of a survey. Frequencies of Religions and Sneakers Nike Adidas Other Protestant 98 91 102 Catholic 52 52 99 Jewish 21 15 36 Other 63 65 77 What can be concluded at the α = 0.05 significance level? What is the correct statistical test to use? Independence Paired t-test Homogeneity Goodness-of-Fit What are the null...
A researcher is interested in investigating whether religious affiliation and the brand of sneakers that people...
A researcher is interested in investigating whether religious affiliation and the brand of sneakers that people wear are associated. The table below shows the results of a survey. Frequencies of Religions and Sneakers Nike Adidas Other Protestant 97 100 101 Catholic 54 61 100 Jewish 15 25 24 Other 85 61 73 What can be concluded at the αα = 0.10 significance level? What is the correct statistical test to use? Independence Paired t-test Homogeneity Goodness-of-Fit What are the null...
You are interested in investigating whether gender and major are associated at your college. The table...
You are interested in investigating whether gender and major are associated at your college. The table below shows the results of a survey. Frequencies of Majors and Gender Math/Science Arts/Humanities Business/Econ. Other Men 83 89 100 56 Women 106 126 100 31 What can be concluded at the αα = 0.01 significance level? What is the correct statistical test to use? Independence Homogeneity Paired t-test Goodness-of-Fit What are the null and alternative hypotheses? H0:H0: College major and gender are dependent....
A researcher working for a drug company is interested in investigating the effect of storage  on the...
A researcher working for a drug company is interested in investigating the effect of storage  on the potency of one of the company’s drugs. 10 freshly produced bottles of the drug were  randomly selected and the potency measured. Another 10 freshly produced bottles of the  drug were randomly chosen and stored under controlled conditions for six months before  the potency was measured. Summary statistics are displayed below: Storage  n  Mean Std. Deviation  Fresh 10 10.37 0.3234 Stored 10 9.83 0.2406 (a) Carry out a t‐test to investigate...
A researcher is interested in whether music tastes differ by personality type. The table below presents...
A researcher is interested in whether music tastes differ by personality type. The table below presents the observed and expected frequencies. Does a statistically significant relationship exist between personality type and music preference? Conduct a hypothesis test to see. Follow the five-step model with an alpha level of 0.05. Make sure to go through each step and interpret the results in terms of the research question above. Round to twoplaces past the decimal point for your calculations and final answers....
A researcher was interested in investigating a relationship between the age (independent variable) of a driver...
A researcher was interested in investigating a relationship between the age (independent variable) of a driver and the distance the driver can see. For this purpose, he collected data on some drives. The data is provided in Appendix ‘1”. To help you, partial summary analysis is provided below: SSxx= 13,752 SSxy=- 41,350 SSyy=193,667 ∑ x = ∑ Age = 1,530; ∑ y = ∑(Distance the driver can see)=12,700 Age Distance 18 510 20 590 22 560 23 510 23 460...
Researchers were interested in the relationship between mental health and living with a pet. Students were...
Researchers were interested in the relationship between mental health and living with a pet. Students were surveyed and grouped by pet type as either “Cats”, “Dogs”, or “No Pets”, and completed a scale on depressive symptoms on a scale of 1-7, where 7 indicates high levels of depressive symptoms. Using the data in the frequency table below, please conduct a one-way ANOVA to determine if there are any significant differences between these groups. Use α = .05, report η², and...
A health tech company is interested in investigating whether there is a gender bias in the...
A health tech company is interested in investigating whether there is a gender bias in the workplace. Specifically, they collect information about how many female and male employees work at the company in following positions: entry-level, mid-level management (referred as mid-level) and high-level management (referred as high-level). They are asking for your help to find out if gender and job position are independent from each other or if there is a relationship between these factors indicating a gender bias. Table...
A researcher is interested in investigating the hypotheses that college achievement is affected by: (1) home-schooling...
A researcher is interested in investigating the hypotheses that college achievement is affected by: (1) home-schooling vs. public schooling; (2) growing up in a dual-parent family vs. a single-parent family; (3) the interaction of schooling and family type. She locates 5 people that match the requirements of each cell in the 2 × 2 (schooling × family type) factorial design, as shown below. In the table, for Family Type 1 = dual-parent and 2 = single-parent, and for Schooling, 1...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT