A school surveys 240 students, recording club participation and class standing in a 4 by 2 table. For a chi-square test for independence, what are H0 and Ha?

A clinic records reminder type and whether each of 600 appointments was kept or missed. For a chi-square test for independence, state the hypotheses.

A city survey classifies 500 adults by preferred park activity and age group. For a chi-square test for independence, what hypotheses should be used?

A factory summarizes 360 defects by production shift and defect type in a two-way table. For a chi-square test for independence, give H0 and Ha.

A farmers market records 420 purchases by payment method and item category. For a chi-square test for independence, what are the correct hypotheses?

The table shows lunch choices by grade for 200 students. For a chi-square test for independence, how many degrees of freedom are used?

The table shows appointment status by reminder method for 300 clinic visits. For a chi-square test for independence, what is the degrees of freedom?

The table shows preferred water sport by age group for 160 campers. How many degrees of freedom does the chi-square test for independence use?

The table shows e-book use by membership type for 180 library patrons. For a chi-square test for independence, find the degrees of freedom.

The table shows fertilizer choice by plant type for 150 school garden plots. How many degrees of freedom are used for the chi-square test for independence?

In a hospital 2 by 2 table of flu shot status and later flu illness for 400 patients, one cell has observed count 45 and expected count 36. What is that cell's chi-squared contribution, rounded to the nearest hundredth?

A store tests independence between loyalty membership and coupon use for 200 purchases. For the member-and-used-coupon cell, observed count is 28 and expected count is 35. Find the cell's chi-squared contribution, rounded to the nearest hundredth.

A college tests independence between year in school and bus-pass use for 200 students. The first-year-and-bus-pass cell has observed count 18 and expected count 24. What is its chi-squared contribution, rounded to the nearest hundredth?

A community center tests independence between age group and class choice for 200 members. The adult-and-yoga cell has observed count 52 and expected count 40. What is that cell's chi-squared contribution, rounded to the nearest hundredth?

An animal shelter tests independence between animal type and adoption within one week for 100 animals. The cat-and-adopted cell has observed count 30 and expected count 25. Find its chi-squared contribution, rounded to the nearest hundredth.

A school tests independence between music participation and graduation plan. The test gives chi-squared 8.02, df 2, and p-value 0.018. At significance level 0.05, what conclusion is justified?

A firm tests independence between commuting method and age group. The test gives chi-squared 4.18, df 4, and p-value 0.382. At significance level 0.05, state the conclusion.

A district tests independence between food allergy status and cafeteria line choice. The test gives chi-squared 6.04, df 2, and p-value 0.049. At significance level 0.05, what conclusion follows?

A teacher tests independence between device type and homework submission status. The test gives chi-squared 4.13, df 2, and p-value 0.126. At significance level 0.10, what should be concluded?

A gym tests independence between exercise class type and injury category. The test gives chi-squared 15.12, df 4, and p-value 0.004. At significance level 0.01, state the conclusion.