Question

Is a person's favorite pizza topping dependent on their gender? A random sample of pizzas ordered...

Is a person's favorite pizza topping dependent on their gender? A random sample of pizzas ordered and the gender of the person who ordered were recorded and the results are found in the table below. Use this data to test whether or not pizza topping preference is independent of gender at the α=0.01α=0.01 level of significance.

Which would be correct hypotheses for this test?

  • H0:H0:Pizza topping preference and gender are independent; H1:H1:There is some relationship between a person's gender and their pizza topping preference
  • H0:μ1=μ2H0:μ1=μ2; H1:μ1≠μ2H1:μ1≠μ2
  • H0:p1=p2H0:p1=p2; H1:p1≠p2H1:p1≠p2
  • H0:H0: Pizza topping preference is dependent on gender; H1:H1: Pizza topping preference and gender are independent



Sample data:

Cheese Pepperoni Sausage Mushroom Veggie
Female 10 20 9 5 16
Male 27 25 13 7 5



Test Statistic (2 decimals):



Give the P-value (4 decimals):



Which is the correct result:

  • Reject the Null Hypothesis
  • Do not Reject the Null Hypothesis



Which would be the appropriate conclusion?

  • There is sufficient evidence to suggest that there is a relationship between pizza topping preference and gender
  • There is not enough evidence of any relationship between pizza topping preference and gender
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Is a person's favorite pizza topping dependent on their gender? A random sample of pizzas ordered...
Is a person's favorite pizza topping dependent on their gender? A random sample of pizzas ordered and the gender of the person who ordered were recorded and the results are found in the table below. Use this data to test whether or not pizza topping preference is independent of gender at the  α=0.10α=0.10 level of significance.   Which would be correct hypotheses for this test? H0:H0:Pizza topping preference and gender are independent;  H1:H1:There is some relationship between a person's gender and their pizza...
In 2010, the Maricopa Community College District's enrollment data showed the following breakdown of students by...
In 2010, the Maricopa Community College District's enrollment data showed the following breakdown of students by ethnicity: 54.9% White; 21.1% Hispanic; 7.9% Black; 4.5% Asian/Pacific Islander; 2.9% Native American; 8.8% Other. Information was collected from a random sample 0f 300 students in 2017 to determine whether or not the data has changed significantly. The sample data is given in the table below. At the α=0.01α=0.01 level of significance, test the claim that the ethnic breakdown of students at MCCCD has...
A random sample of n1 = 49 measurements from a population with population standard deviation σ1...
A random sample of n1 = 49 measurements from a population with population standard deviation σ1 = 5 had a sample mean of x1 = 8. An independent random sample of n2 = 64 measurements from a second population with population standard deviation σ2 = 6 had a sample mean of x2 = 11. Test the claim that the population means are different. Use level of significance 0.01.(a) Check Requirements: What distribution does the sample test statistic follow? Explain. The...
A random sample of n1 = 49 measurements from a population with population standard deviation σ1...
A random sample of n1 = 49 measurements from a population with population standard deviation σ1 = 3 had a sample mean of x1 = 13. An independent random sample of n2 = 64 measurements from a second population with population standard deviation σ2 = 4 had a sample mean of x2 = 15. Test the claim that the population means are different. Use level of significance 0.01. (a) Check Requirements: What distribution does the sample test statistic follow? Explain....
Start of Questions The director of student services at Oxnard College is interested in whether women...
Start of Questions The director of student services at Oxnard College is interested in whether women are more likely to attend orientation than men before they begin their coursework. A random sample of freshmen at Oxnard College were asked what their gender is and whether they attended orientation. The results of the survey are shown below: Data for Gender vs. Orientation Attendance Women Men Yes 468 493 No 203 286 What can be concluded at the αα = 0.01 level...
Are blonde female college students just as likely to have boyfriends as brunette female college students?...
Are blonde female college students just as likely to have boyfriends as brunette female college students? 402 of the 657 blondes surveyed had boyfriends and 493 of the 766 brunettes surveyed had boyfriends. What can be concluded at the αα= 0.01 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for the difference between two independent population means t-test for the difference between two dependent population means z-test for the difference...
A random sample of 49 measurements from one population had a sample mean of 16, with...
A random sample of 49 measurements from one population had a sample mean of 16, with sample standard deviation 3. An independent random sample of 64 measurements from a second population had a sample mean of 18, with sample standard deviation 4. Test the claim that the population means are different. Use level of significance 0.01. (a) What distribution does the sample test statistic follow? Explain. The Student's t. We assume that both population distributions are approximately normal with known...
A random sample of n1 = 49 measurements from a population with population standard deviation σ1...
A random sample of n1 = 49 measurements from a population with population standard deviation σ1 = 5 had a sample mean of x1 = 11. An independent random sample of n2 = 64 measurements from a second population with population standard deviation σ2 = 6 had a sample mean of x2 = 14. Test the claim that the population means are different. Use level of significance 0.01. (a) Check Requirements: What distribution does the sample test statistic follow? Explain....
Do men score lower on average compared to women on their statistics finals? Final exam scores...
Do men score lower on average compared to women on their statistics finals? Final exam scores of ten randomly selected male statistics students and ten randomly selected female statistics students are shown below. Male:  65 69 91 56 85 82 59 92 81 78 Female:  71 85 99 69 99 65 86 79 64 98 Assume both follow a Normal distribution. What can be concluded at the the αα = 0.01 level of significance level of significance? For this study, we should...
Consider the data in the table collected from three independent populations. Sample 1 Sample 2 Sample...
Consider the data in the table collected from three independent populations. Sample 1 Sample 2 Sample 3    6 1    4    2 3 5    7 2 1    6 ​a) Calculate the total sum of squares​ (SST) and partition the SST into its two​ components, the sum of squares between​ (SSB) and the sum of squares within​ (SSW). b) Use these values to construct a​ one-way ANOVA table. ​c) Using α=0.10​, what conclusions can be made concerning...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT