Question

In: Statistics and Probability

To study whether or not handedness (being left or right handed) is affected by gender, 65...

To study whether or not handedness (being left or right handed) is affected by gender, 65 people were sampled. A contingency table is presented below:

Gender/Handedness
Right Left Total
Boys 21 8 29
Girls 24 12 36
Total 45 20 65

a) We wish to test the null hypothesis that the percentage of right-handed boys is the same as the percentage of right-handed girls. Test this hypothesis with a chi-square test using α = 0.05. (Don’t forget to state the null and alternative hypotheses. Don’t forget to write a conclusion.) b) Again test the

Solutions

Expert Solution

To test

Ho: The percentage of right handed boys is the same as the percentage of right handed girls.

H1:The percentage of right handed boys is the not same as the percentage of right handed girls.

# Observed Table:

Right Left Total
Boys 21 8 29
Girls 24 12 36
total 45 20 65
# Expected Frequency (EI)=∑row*∑Column/∑Total
Expected frequency table:
Right Left Total
Boys 20.07692 8.923077 29
Girls 24.92308 11.07692 36
total 45 20 65
# Chi Square (ꭓ^2)= ∑(Oi-Ei)^2/Ei
Right Left Total
Boys 0.04244 0.095491 0.137931
Girls 0.034188 0.076923 0.111111
total 0.076628 0.172414 0.249042
# P value= 0.61775

Where P value > 0.05

# We accept Ho

# Conclusion: The percentage of right handed boys is the same as the percentage of right handed girls.


Related Solutions

3. Assume that in humans, right-handedness (R) is dominant over left-handedness (r). A left handed man...
3. Assume that in humans, right-handedness (R) is dominant over left-handedness (r). A left handed man marries a right-handed woman. They have ten children all right-handed. What are the genotypes of all individuals of this family? Dad = Mom = Kids =, 4. A right-handed man marries a left-handed woman. Their first child is left-handed. What are the chances that future children will be right-handed? _________% Left-handed?________% 5. Assume in humans that brown eyes (B) are dominant to blue (b)...
Do left-handed people live shorter lives than right-handed people? A study of this question examined a...
Do left-handed people live shorter lives than right-handed people? A study of this question examined a sample of 949 death records and contacted next of kin to determine handedness. Note that there are many possible definitions of "left-handed." The researchers examined the effects of different definitions on the results of their analysis and found that their conclusions were not sensitive to the exact definition used. For the results presented here, people were defined to be right-handed if they wrote, drew,...
A brown-eyed, right-handed man marries a blue-eyed, right-handed woman. Their first child is blue-eyed and left-handed....
A brown-eyed, right-handed man marries a blue-eyed, right-handed woman. Their first child is blue-eyed and left-handed. What are the chances of having another child who is blue-eyed and left-handed? A) 25 B) 12.5 C) 75 D) 50
a) A psychologist is interested in whether or not handedness is related to gender. Specifically, she...
a) A psychologist is interested in whether or not handedness is related to gender. Specifically, she wants to know if the percentage left-handed men in the population is different from the percentage of left-handed women. She collected data on handedness for 200 men and 200 women. What type of statistical test would be appropriate? options: a) Chi-square goodness of fit test b) Independent samples t-test c) Paired t-test d) Chi-square test of independence b) Nima investigated the relationship between optimism...
. Approximately 10% of all people are left-handed, then the rest of people are right-handed. Consider...
. Approximately 10% of all people are left-handed, then the rest of people are right-handed. Consider a group of 15 people, answer the following question: (You cannot use the binomial table for this problem) (a) State the random variable ?. (2 points) (b) Explain why this is a binomial experiment. There should be 4 conditions to check. (State the probability of left-handed people ?, the possible outcomes, and the number of trials ? in the conditions.) (4 points) (c) Find...
Which correlation coefficient is the most appropriate for measuring the relationship between Right/ Left Handedness and...
Which correlation coefficient is the most appropriate for measuring the relationship between Right/ Left Handedness and Reading Comprehension Scores? A. Spearman Rho B. chisquare C. phi coefficient D. point biserial How do you choose between Spearman Rho and Point Biserial? I am stuck between these two answers.
You want to know if right-handed individuals have a lower grade point average than left handed...
You want to know if right-handed individuals have a lower grade point average than left handed individuals. Question 1 options: Multiple Regression chi squared t-test correlation ANOVA (F test) Question 2 (1 point) Saved You want to see if a new ad campaign toward underage drinking is working. You break people up into two groups (over 21 and under 21) and measure the number of alcoholic beverages they have had in the past 2 weeks. Question 2 options: chi squared...
Do left handed starting pitchers pitch fewer innings per game on average than right handed starting...
Do left handed starting pitchers pitch fewer innings per game on average than right handed starting pitchers? A researcher looked at eleven randomly selected left handed starting pitchers' games and eleven randomly selected right handed pitchers' games. The table below shows the results. Left:  6 6 8 6 5 7 5 7 5 5 Right:  6 8 7 7 7 6 8 6 8 7 Assume that both populations follow a normal distribution. What can be concluded at the the αα =...
Do left handed starting pitchers pitch more innings per game on average than right handed starting...
Do left handed starting pitchers pitch more innings per game on average than right handed starting pitchers? A researcher looked at ten randomly selected left handed starting pitchers' games and nine randomly selected right handed pitchers' games. The table below shows the results. Left:  7 7 5 6 6 6 6 4 5 Right:  6 4 5 6 5 6 4 7 Assume that both populations follow a normal distribution. What can be concluded at the the αα = 0.10 level of...
It has been claimed that, on average, right-handed people have a left foot that is larger...
It has been claimed that, on average, right-handed people have a left foot that is larger than the right foot. Here we test this claim on a sample of 10 right-handed adults. The table below gives the left and right foot measurements in millimeters (mm). Test the claim at the 0.05 significance level. You may assume the sample of differences comes from a normally distributed population. Person   Left Foot (x) Right Foot (y)   1 268 268 2 265 263 3...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT