1 answer

O A sports researcher is interested in determining if there is a relationship between the number...

Question:

o A sports researcher is interested in determining if there is a relationship between the number of home team and visiting te
o A sports researcher is interested in determining if there is a relationship between the number of home team and visiting team wins and different sports. A random sample of 526 games is selected and the results are given below. Calculate the chi-square test statistie y used to test the claim that the number of home team and visiting team wins is independent of the sport. Use a 0.01 Home team wins Visiting team wins Football Basketball Soccer Baseball 39 156 25 83 31 98 19 75 OA. 4.192 OB 5.391 O c. 2.919 OD 3.290

Answers

Null hypothesis: The number of home team and visiting team wins are independent of the sport.

Alternate hypothesis:  The number of home team and visiting team wins are not independent of the sport.

Test statistic:

\chi ^2=\sum_{l=1}^{2}\sum_{k=1}^{4}\frac{(O_i-E_i)^2}{E_i}

where Oi is the observed value and Ei is the expected value.

Table for observed value

Football Basketball Soccer Baseball Total
Home team wins 39 156 25 83 303
Visiting team wins 31 98 19 75 223
Total 70 254 44 158 526

Table for expected value

Football Basketball Soccer Baseball
Home team wins \frac{70*303}{526}=40.32 \frac{254*303}{526}=146.32 \frac{44*303}{526}=25.35 \frac{158*303}{526}=91.02
Visiting team wins \frac{70*223}{526}=29.68 \frac{254*223}{526}=107.68 \frac{44*223}{526}=18.65 \frac{158*223}{526}=66.98

Now, \chi ^2=\sum_{l=1}^{2}\sum_{k=1}^{4}\frac{(O_i-E_i)^2}{E_i}

\chi ^2=0.043+0.641+0.005+0.706+0.059+0.871+0.006+0.959=3.29

Value of test statistic = 3.29

degrees of freedom: v=(l-1)*(k-1)=1*3=3

level of significance: \alpha =0.01

Critical value: \chi ^2_{\alpha ,v}=\chi ^2_{0.01,3}=11.345

\chi ^2<\chi ^2_{0.01,3}

We fail to reject the null hypothesis at \alpha =0.01 level of significance and conclude that the number of home team and visiting team wins are independent of the sport.

** if this answer is helpful please give a thumbs up. Thank you in advance.**

.

Similar Solved Questions

1 answer
What is the molar concentration of hydronium ion in pure water at 25 degrees C?
What is the molar concentration of hydronium ion in pure water at 25 degrees C?...
1 answer
Balance the equation below. If a stoichiometric coefficient is equal to one, you must enter the...
Balance the equation below. If a stoichiometric coefficient is equal to one, you must enter the number 1 into the appropriate answer box. Hint Solution CH10() + 0,() H2O(g) + COC)...
1 answer
Linda, who filed as a single taxpayer in 2019, received $180,000 in social security benefits. Linda's...
Linda, who filed as a single taxpayer in 2019, received $180,000 in social security benefits. Linda's AGI of $38,000 before any social security benefits was a taxable distribution from a retirement plan. Linda also received $500 of tax-exempt interest. What amount of Linda's social security ...
1 answer
AP10-5 Recording Bond Issuance, Interest Expense, and Effects of Bond Redemption of Financial Statements (Effective-Interest Method)...
AP10-5 Recording Bond Issuance, Interest Expense, and Effects of Bond Redemption of Financial Statements (Effective-Interest Method) (P10-7) Ashraf Ltd. sold on June 30, 2017, $4,000,000, 20-year bonds, paying a nominal interest rate of 6.5 percent. The bonds were issued at 105.7344 percent with a y...
2 answers
It’s -5 on right corner (a) Find the velocity vector at t-6.0 s. (b) Find the...
It’s -5 on right corner (a) Find the velocity vector at t-6.0 s. (b) Find the position vector at t 2.0s the +x-axis) 23 MacBook Pro...
1 answer
Question: 2 of 25 FLAG A nurse is preparing to administer phenytoin 5 mg/kg/day PO divided...
Question: 2 of 25 FLAG A nurse is preparing to administer phenytoin 5 mg/kg/day PO divided equally every 12 hr for an infant who weighs 12 lb 4 oz. How many my should the nurse administer per dose? (Round the answer to the nearest tenth. Use a leading zero if it applies. Do not use a trailing zero.)...
1 answer
Question 1 of 5 (1 point) 6.4 Section Exercise 2b Use the normal approximation to the...
Question 1 of 5 (1 point) 6.4 Section Exercise 2b Use the normal approximation to the binomial to find the probability for n=50=0.7. and X = 41. Round z-value calculations to 2 decimal places and final answer to 4 decimal places. The probability is...
1 answer
V Question Completion Status: QUESTION 22 Overapplied overhead means that O the estimated overhead cost was...
v Question Completion Status: QUESTION 22 Overapplied overhead means that O the estimated overhead cost was less than the applied overhead cost O the applied overhead cost was greater than the actual overhead cost O the estimated overhead cost was less than the actual overhead cost. the applied over...
1 answer
What does scientific notation mean?
What does scientific notation mean?...
1 answer
Consider the snapshot graph below. Draw the history graph at x = 6 m, and enter...
Consider the snapshot graph below. Draw the history graph at x = 6 m, and enter the coordinates of the vertices, from left to right, as x_1, y_1, t_1, ... (without units). Answer 1 of 15: Answer 2 of 15: Answer 3 of 15: Answer 4 of 15: Answer 5 of 15: Answer 6 of 15: Answer 7 of 15: Answer 8 of 15: ...
1 answer
D Question 28 0.27 pts A specialty retailer has four different styles of umbrellas to stock...
D Question 28 0.27 pts A specialty retailer has four different styles of umbrellas to stock and wants to maximize profits. It is assumed that every one stocked will be sold. The variables measure the number of women's, golf, men's, and folding umbrellas, respectively. The constraints measure...
1 answer
In 1990​, the cost of tuition at a certain private high school was​ $5780. By 1998​, it had risen approximately 79​%. What was the approximate cost in 1998​?
In 1990​, the cost of tuition at a certain private high school was​ $5780. By 1998​, it had risen approximately 79​%. What was the approximate cost in 1998​?...
1 answer
Question 4 Not complete Marked out of 2.00 P Flag question Accounting for Purchase Discounts Ken...
Question 4 Not complete Marked out of 2.00 P Flag question Accounting for Purchase Discounts Ken Company purchased 55,000 of merchandise from Marilyn Company with terms of 3/10, 1/45. What percent discount will Ken Company get if it pays within the allowed discount period? If Ken Company fails to pa...
1 answer
In year 0, Javens Inc. sold machinery with a fair market value of $640,000 to Chris....
In year 0, Javens Inc. sold machinery with a fair market value of $640,000 to Chris. The machinery's original basis was $499,520 and he machinery was $74,000, so its adjusted basis to Javens was $425,520. Chris paid Javens $64.000 immediately in year C) and provided a note to Javens indicating t...
1 answer
The journal entry that records the collection of cash from a customer for payment on account...
The journal entry that records the collection of cash from a customer for payment on account for a sale that was recorded previously includes a debit to: Multiple Choice Accounts Receivable and credit to Cash. Cash and credit to Accounts Payable. Cash and credit to Accounts Receivable Accounts Payab...
5 answers
How many tiles measuring 10cm x 10cm will you need to cover a bathroom floor that measures 3m x 5m
How many tiles measuring 10cm x 10cm will you need to cover a bathroom floor that measures 3m x 5m?...