In the paper \"Color Association of Male and Female Fourth-Grade School Children

Question

In the paper "Color Association of Male and Female Fourth-Grade School Children" (J. Psych., 1988, 383-8), children were asked to indicate what emotion they associated with the color red. The response and the sex of the child are noted and summarized below. The first number in each cell is the count, the second number is the row percent.

Question 7 options:

We conclude that the sex of the child and the emotion associated with red are independent when in fact they are not independent.

We conclude that the sex of the child and the emotion associated with red are not independent when in fact they are not independent.

We conclude that the proportion of emotions associated with red differs between males and female when in fact they are the same.

We conclude that the proportion of emotions associated with red is the same for male and female when in fact they are the same.

We fail to find any association between the color red and emotions for either sex.

Question 8 (4 points)

In the paper "Color Association of Male and Female Fourth-Grade School Children" (J. Psych., 1988, 383-8), children were asked to indicate what emotion they associated with the color red. The response and the sex of the child are noted and summarized below. The first number in each cell is the count, the second number is the row percent.

Question 8 options:

4.661 .1983

4.661 .3966

4.629 .2011

4.629 .4022

4.629 .1006

In a televised game show, contestants are asked to pick what is behind Door #1, Door #2, Door #3, and Door #4. The only difference the contestant can see is the number on the door. If contestants do not have a preference for particular numbers, then each door should have a 25% chance of being selected. The game producers, however, have decided to analyze the contestant’s choices to see if they have a preference for certain doors, so they gathered the following data on door choices: out of 160 trials, contestants made the following choices: Door #1 was selected 38 times; Door #2 was selected 42 times; Door #3 was selected 42 times; Door number 4 was selected 38 times. Using a Chi Square Test for Goodness of Fit, would we reject or fail to reject a null hypothesis that Door Selection is uniform over the numbers one through four?

Question 11 options:

We conclude that the sex of the child and the emotion associated with red are independent when in fact they are not independent.

We conclude that the sex of the child and the emotion associated with red are not independent when in fact they are not independent.

We conclude that the proportion of emotions associated with red differs between males and female when in fact they are the same.

We conclude that the proportion of emotions associated with red is the same for male and female when in fact they are the same.

We fail to find any association between the color red and emotions for either sex.

Explanation / Answer

Dear student, I am only answering the first question as per chegg guildlines.

Here, the hypotheses are:

H0: the sex of the child and the emotion associated with red are independent

H1: the sex of the child and the emotion associated with red are not independent

Type 1 error is committed when a true null hypothesis is rejected, i.e. it is concluded that the sex of the child and the emotion associated with red are not independent when they actually are.

We conclude that the proportion of emotions associated with red differs between males and female when in fact they are the same.

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