1.A researcher wants to examine the relationship between opinion of a proposed new gas mine and the political party followed. The observed frequencies are summarized in the following table.

Opinion

For Against Undecided

Political party followed Greens 2 13 7

Labor 15 7 13

Liberal 18 20 29

What is the total number of respondents in this survey?

2.The owner of a store wants to examine whether method of payment (with either cash, credit card or debit card) and age group (of either 18 years, between 18 to 40 years, and 40 years) of paying customers, are independent.The following table summarises the observed frequencies:

Method of payment

Age Cash Creditcard Debitcard Total

18 years 10 19 2 31

between 18 to 40 years 20 24 17 61

40 years 6 24 19 49

Total 36 67 38 141

What is the critical value if testing at of 5%?

Please give your answer correctly rounded to two decimal places.

3.A researcher wants to test whether smoking and drinking alcohol are independent, at of 5%. He took a random sample of adults and calculated the followingstandardized residuals.

Smoker

Yes No

Drink's alcohol Yes 0.32 2.64

No -8.71 1.12

Using this table, which of these values shows the greatest relative difference between the observed and expected cell frequencies?

Please give your answer correctly rounded to two decimal places.

4.A researcher wants to test whether smoking and drinking alcohol are independent, at of 5%. He took a random sample of adults and calculated the followingBaby Chi'sfor this study.

Smoker

Yes No

Drink's alcohol Yes 1.86 2.16

No 1.03 1.4

What is the value of the calculated test statistic for this test.Please give your answer correctly rounded to two decimal places.

5.A marketing company that relies on calling mobile phones, wanted to research if age group and type of response, were independent. The company took a random sample of mobile numbers, categorised them into two different age groups, and then recorded the response as one of three options: call answered, voicemail, call unanswered.The observed frequencies are summarized in the following table.

Age group

40 years > 40 years

Response Unanswered 64 12

Voicemail 48 56

Answered 57 94

What is the expected frequency for respondents greater than 40 years old who answered the call?Please give your answer correctly rounded to two decimal places.