Test statistic and P- Value in chi-square tests with two-way tables

The owners of a large shopping complex wondered how their customers traveled to the complex. They surveyed a random sample of 100 customers. Here are the outcomes and partial results of a chi-square test (expected counts appear below observed counts): They want to use these results to carry out a \chi^2χ2\chi, squared test of independence. Assume that all conditions for inference were met. What are the values of the test statistic and P-value for their test?

​χ2=5.159; 0.05<P-value<0.10​

An educational psychologist wondered whether there was a relationship between the amount of academic pressure a high school student felt and their plans for college. They surveyed a random sample of 300 high school students throughout the country about their college plans and whether they felt academic pressure. Here are the responses and partial results of a chi-square test (expected counts appear below observed counts): They want to use these results to carry out a \chi^2χ2\chi, squared test of independence. Assume that all conditions for inference were met. What are the values of the test statistic and P-value for their test?

​χ2=0.007; P-value>0.25​

Plamen is a social media manager for a large company. He takes a random sample of their posts to see if there is a relationship between the time of each post and the number of times the post gets shared. Here are the outcomes and partial results of a chi-square test (expected counts appear below observed counts): They want to use these results to carry out a \chi^2χ2\chi, squared test of independence. Assume that all conditions for inference were met. What are the values of the test statistic and P-value for their test? Choose 1 answer:

​χ2=13.965; 0.005<P-value<0.01​

The principal of a large middle school wondered whether students in each grade kept their lockers equally neat. They selected random samples of 30 lockers belonging to students in each grade. Here are the outcomes and partial results of a chi-square test (expected counts appear below observed counts): They want to use these results to carry out a \chi^2χ2\chi, squared test for homogeneity. Assume that all conditions for inference were met. What are the values of the test statistic and P-value for their test?

​χ2=5.7; 0.05<P-value<0.10​

A group of researchers wondered whether there was an association between handedness and which foot was longest. They took a random sample of people, measured their feet, and recorded their handedness. Here are the outcomes and partial results of a chi-square test (expected counts appear below observed counts): They want to use these results to carry out a \chi^2χ2\chi, squared test of association. Assume that all conditions for inference were met. What are the values of the test statistic and P-value for their test?

​χ2=6.622; 0.15<P-value<0.20​

A researcher wanted to see if different breeds of dogs preferred toys of certain colors. The researcher presented each dog with 333 toys, identical except that each was a different color, and recorded which toy the dog played with the most in a set time period. Here are the outcomes and partial results of a chi-square test (expected counts appear below observed counts): They want to use these results to carry out a \chi^2χ2\chi, squared test for homogeneity. Assume that all conditions for inference were met. What are the values of the test statistic and P-value for their test? Choose 1 answer:

​χ2=9.421; 0.05<P-value<0.10​

A group of researchers wondered whether vegetarians favored different seasons than non-vegetarians. The researchers took a random sample of people and surveyed them about their favorite season and whether or not they were vegetarian. Here are the responses and partial results of a chi-square test (expected counts appear below observed counts): They want to use these results to carry out a \chi^2χ2\chi, squared test of independence. Assume that all conditions for inference were met. What are the values of the test statistic and P-value for their test?

χ2=1.966; P-value>0.25​

Market researchers wonder if people in different countries have different preferred sports to watch during the winter Olympics. They take a random sample of people from each country and survey them about their favorite sport to watch. Here are the responses and partial results of a chi-square test (expected counts appear below observed counts): They want to use these results to carry out a \chi^2χ2\chi, squared test for homogeneity. Assume that all conditions for inference were met. What are the values of the test statistic and P-value for their test?

χ2=18.928; P-value<0.0005​

A company is testing their new smartwatch. They wonder if alerts that prompt people to exercise cause people to exercise more than they would without the alerts. They recruit 200 subjects and randomly assign each of them to either receive the alerts or not. Here are amounts of daily activity and partial results of a chi-square test (expected counts appear below observed counts): They want to use these results to carry out a \chi^2χ2\chi, squared test for homogeneity. Assume that all conditions for inference were met. What are the values of the test statistic and P-value for their test? Choose 1 answer:

χ2=6.458; 0.025<P-value<0.05​

A group of nutritionists wondered whether there was an association between gender and the kinds of food a person likes to eat. They surveyed a random sample of 231 people about their favorite foods. Here are the responses and partial results of a chi-square test (expected counts appear below observed counts): They want to use these results to carry out a \chi^2χ2\chi, squared test of association. Assume that all conditions for inference were met. What are the values of the test statistic and P-value for their test? Choose 1 answer:

​χ2=23.635; P-value<0.0005​

A large company was curious about job satisfaction between employees at two different locations. They surveyed a random sample of 50 employees from each location about their overall job satisfaction. Here are the responses and partial results of a chi-square test (expected counts appear below observed counts): They want to use these results to carry out a \chi^2χ2\chi, squared test of homogeneity. Assume that all conditions for inference were met. What are the values of the test statistic and P-value for their test?

​χ2=3.06; 0.20<P-value<0.25​

A market researcher for a communications company took a sample of 300300300 customers to see if those with children were more or less likely to pay for upgraded internet speeds. Here are the outcomes and partial results of a chi-square test (expected counts appear below observed counts): They want to use these results to carry out a \chi^2χ2\chi, squared test of association. Assume that all conditions for inference were met. What are the values of the test statistic and P-value for their test?

​χ2=4.327; 0.10<P-value<0.15​