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Chi-Square

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Wize University Statistics Textbook > Chi-Square

Chi-Square

8 Activities

The Liberal Party of Canada would like to know how Canadians will vote before the actual election. One senior Liberal believes that 40% will vote Liberal, 34% Conservative, 20% NDP, and the rest for the Green Party. They sample 200 Canadians and find that 87 plan on voting Liberal, 64 Conservative, 33 NDP and the rest Green.

Is the distribution of Canadians that will vote in the next selection well represented by the Liberal cabinet minister’s forecasts? Use the p-value 0.00043 to make a valid conclusion at the 1% level of significance.
More Chi-Square Questions:
Chi-Square Test
A sample of 500 viewed pictures of cats and dogs. Each person saw either a cat or a dog and liked or disliked the picture they saw. Here the results:
You wish to test if students' mode of transportation to school (drive or bus) is associated to their gender.
23 males and 31 females drive
40 males and 42 females take the bus
You wish to test if students' mode of transportation to UBC (drive or bus) is associated to their gender.
23 males and 31 females drive
40 males and 42 females take the bus
Chi-Square
Which of the following is true about the Chi-Square Distribution?
Ch-square
A random sample of 106 individuals from a group of 5,500 children is classified according to age group (under 6, 6 to 8, 9 and above) and favourite colour.
Supposed that you want to test if there is a difference in the proportion of children
that like the colour blue in the three age groups. Here is the data you collected:
Chi-square
A random sample of 106 individuals from a group of 5,500 children is classified according to age group (under 6, 6 to 8, 9 and above) and favourite colour.
Supposed that you want to test if there is a difference in the proportion of children
that like the colour blue in the three age groups. Here is the data you collected:
Chi-square
A random sample of 106 individuals from a group of 5,500 children is classified according to age group (under 6, 6 to 8, 9 and above) and favourite colour.
Supposed that you want to test if there is a difference in the proportion of children
that like the colour blue in the three age groups. Here is the data you collected:
Chi-square
You wish to test if students' choice of mode of transportation (take bus or uber) is related to their gender.
The appropriate null hypothesis is
Chi-square
Promotion reps offered patrons at the mall three types of coupons, but they can only take one.
They wish to see if men and women prefer different promotions. They took random sample of 50 men and 50 women. Results:
Chi-square
Following with the previous question, if Pick Meow samples 200 cats (instead of 100), what would happen to the chi-square test statistic?
Chi-square
Pick Meow is a shelter for cats in California. At the 1% significance level, is there a relationship between the ages of cats and whether they get adopted or not? Here are the results based on 100 randomly selected cats:
(a) Pick Meow is a shelter for cats in California. At the 1% significance level, is there a relationship between the ages of cats and whether they get adopted or not? Here are the results based on 100 randomly selected cats:
(b) Explain why the test in (a) might not be valid.
Chi-square
A research company wishes to see if men and women are drawn to certain types of red wine. They randomly select 50 men and 50 women for a blind taste test. Each subject was offered 3 types of red wine: Pinot Noir, Merlot, and Shiraz. They were then asked to pick the one they like most. Results:
Fill the table with the expected values
Compute the test-statistic and state the degrees of freedom.
Chi-Square Test
A sample of 500 viewed pictures of cats and dogs. Each person saw either a cat or a dog and liked or disliked the picture they saw. Here the results:
Chi-square
An ordinary die is tossed 60 times. Observed results:
a) Compute the test-statistic and round your answer to one decimal place.
b) Using a p-value of 0.731, at the 5% level of significance, is there evidence that this die is not fair?
Pick a Chi-Square Test
For each of the following scenarios, state which Chi-Square test is appropriate
(1) You want to know if there’s a relationship between age group (under 18, between 18 and 30, 30 and above) and a person’s favourite colour.
(2) You want to know if in the next federal election the following proportions will hold: 40% Liberal, 34% Conservative, 20% NDP, 6% Other
Chi-square
A retail store claims that they carry the following sizes: 20% Small, 30% Medium, 40% Large, and 10% X-Large.” A random sample of 200 clothing items was taken.
(1) Which test is appropriate?
a) Chi Square goodness of fit
Chi-Square Test
J. Kidding sells her romance novels online and at Chapters. She wishes to see if there is an association between gender and method of purchase of her books. She randomly samples 20 men and 200 women. Results:
a) Find the expected count of men buying from store
b) Would a chi-square test be valid?
Chi-square
You wish to test if students' choice of mode of transportation (take bus or uber) is related to their gender. 23 males and 31 females take uber. 40 males and 42 females take the bus.
The test-statistic is