Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. statistics
  3. are births really evenly distributed across the da

Are births really evenly distributed across the days of a week? Here are data on 700...

70.2K

Verified Solution

Question

Statistics

Are births really evenly distributed across the days ofa week? Here are data on 700 births in a hospital:

Day

Sun.

Mon.

Tue.

Wed.

Thu.

Fri.

Sat.

Observed births

89

110

116

104

94

106

81

Null hypothesis: the births are evenly distributedacross the days of the week

Research hypothesis: the births are not equally probableon all days of the week?

Choose α = 5%

Test statistic used: χ2 =

Decision : Reject Ho if χ2 is too big.

Calculations and Conclusion

1Ëš Arrange the data in the form of a frequencydistribution (See the table above).

2Ëš Obtain the expected frequency for eachday.

Day

Sun.

Mon.

Tue.

Wed.

Thu.

Fri.

Sat.

Expected births

3Ëš Setup a summary table to calculate the Chi-squarevalue.

4Ëš Find the degree of freedom.

5˚ Compare the calculated Chi-square value with theappropriate value from the χ2 Table.

The calculated χ2 value is

  1. 7.15

  2. 8.27    

  3. 9.26   

  4. 10.10   

  5. 11.92

  6. 12.76

  7. 13.68

  8. 16.42

  9. 19.12   

  10. 23.86.

Q11: (This continues Q10: 2 marks) Find the p-value ofthe test.

  1. Less than 0.25%

  2. Between 0.25% and 0.5%

  3. Between 0.5% and 1%

  4. Between 1% and 2.5%

  5. Between 2.5% and 5%

  6. Between 5% and 10%

  7. Between 10% and 15%

  8. Between 15% and 20%

  9. Between 15% and 20%

  10. Bigger than 20%.

Answer & Explanation Solved by verified expert
4.5 Ratings (774 Votes)
1The observed values areDayObserved valuesSun89Mon110Tue116Wed104Thu94Fri106Sat81Total7002The expected values areDayExpected    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Problem 9-23 Project Analysis [LO 2] You are considering a new product launch. The project will...

Finance
Q

if you added 3.2652 g of calcium chloride to your diluted sodium phosphate solution what reaction...

Chemistry
Q

Osama Bin Noor is the co-founder of Youth Opportunities and he is one of good social...

General Management
Q

15 An emf of 15 V is applied in a circuit coil containing resistance The...

Physics
Q

s Complete parts a and b below than days is vide a second interpretation of...

Statistics
Q

he gross domestic product GDP in trmans of dollars for Country A and Country B...

Calculus
Q

Haywood Inc. reported the following information for 2019: Beginning inventory $25,000 Ending inventory 50,000 Sales...

Accounting
Q

The Caribbean Maritime University is the only Maritime training university in the English-speaking Caribbean. The...

Accounting
Q

E 14.11 E14.11 ( LO3), AN Manufacturing cost data for Copa Company are...

Accounting
Q

Northwood Company manufactures basketballs. The company has a ball that sells for $25. At present,...

Accounting
Q

Multiple Choice Question 53 It costs Bramble Corp. $12 of variable and $5 of fixed...

Accounting
Q

You are considering the following project. Your cost of capital is 8%. The cash flows...

Finance