1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Savatey [412]
3 years ago
15

Suppose that each observation in a random sample of 100 fatal bicycle accidents in 2015 was classified according to the day of t

he week on which the accident occurred. Data consistent with information on the Insurance Institute for Highway Safety are given in the following table.
Day of the Week Frequency
Sunday 16
Monday 12
Tuesday 12
Wednesday 13
Thursday 14
Friday 15
Saturday 18
a. Based on these data, is it reasonable to conclude that the proportion of fatal bicycle accidents in 2015 was not the same for all days of the week? Use a significance level of 0.05.
b. Write interpretation
Mathematics
1 answer:
liraira [26]3 years ago
6 0

Answer:

The calculated χ² =  0.57   does not fall in the critical region χ² ≥  12.59  so we fail to reject the null hypothesis and conclude the proportion of fatal bicycle accidents in 2015 was the same for all days of the week.

Step-by-step explanation:

1) We set up our null and alternative hypothesis as

H0:  proportion of fatal bicycle accidents in 2015 was the same for all days of the week

against the claim

Ha:  proportion of fatal bicycle accidents in 2015 was not the same for all days of the week

2) the significance level alpha is set at 0.05

3) the test statistic under H0 is

χ²= ∑ (ni - npi)²/ npi

which has an approximate chi square distribution with ( n-1)=7-1=  6 d.f

4) The critical region is χ² ≥ χ² (0.05)6 = 12.59

5) Calculations:

χ²= ∑ (16- 14.28)²/14.28 + (12- 14.28)²/14.28 + (12- 14.28)²/14.28 + (13- 14.28)²/14.28 + (14- 14.28)²/14.28 + (15- 14.28)²/14.28 + (18- 14.28)²/14.28

χ²= 1/14.28 [ 2.938+ 5.1984 +5.1984+1.6384+0.0784 +1.6384+13.84]

χ²= 1/14.28[8.1364]

χ²= 0.569= 0.57

6) Conclusion:

The calculated χ² =  0.57   does not fall in the critical region χ² ≥  12.59  so we fail to reject the null hypothesis and conclude the proportion of fatal bicycle accidents in 2015 was the same for all days of the week.

b.<u> It is r</u>easonable to conclude that the proportion of fatal bicycle accidents in 2015 was the same for all days of the week

You might be interested in
Jane made a door frame for the house but does not have a tool to measure the angles. How can she check that the corner is 90 deg
Marina CMI [18]

Answer:

don't know sorry

Step-by-step explanation:

dont know sorry

5 0
3 years ago
What does - 12/s - 5 - 9w use s =4 and w = 3 equal
qwelly [4]
Your answer would be -35.
5 0
3 years ago
Need help! will award brainiest
coldgirl [10]

Answer:

\sf slope: \boxed{\bf \frac{1}{3} }

Explanation:

\sf slope :\dfrac{y_2-y_1}{x_2-x_1} =\dfrac{rise}{run} \  \ \  \  where  \ (x_1, \ y_1) ,(x_2, \ y_2)  \ are \ points

Find slope:

\rightarrow \sf \dfrac{x_2-x_1}{y_2-y_1}

<em>insert values</em>

\rightarrow \sf \dfrac{3-5}{-4-2}

<em>simplify</em>

\rightarrow \sf \dfrac{1}{3}

4 0
1 year ago
Read 2 more answers
There is a positive correlation between drinking coconut milk and eating potato chips. What does this correlation mean? What are
faltersainse [42]

Answer with explanation:

It is given that, there is positive correlation between drinking coconut milk and eating potato chips.

→Correlation coefficient is denoted by r.

→The value of r lies between , -1 and 1 which is represented as , -1 ≤r≤1.

→Correlation that is relation between two variables is said to be strongly positive, if r is equal to 1, and it is said to be strongly weak, if it is equal to -1 , and said to have no association if r=0.

→ The meaning of positive correlation is that value of r, is greater than >0.8 but less than 1.

The two variables which are positively correlated ,can have following relationship.

1. With increase in one other increases.

2.With decrease in one other decreases.

3. Slope will be a linear that is a straight line not passing through origin.

3 0
3 years ago
How many solutions does this system have?
charle [14.2K]
The answer is no solution
4 0
3 years ago
Other questions:
  • Originally, Juan borrowed $10, but his mother loaned him $3 more, so he borrowed a total of $13. He sells $25 worth of lemonade
    5·2 answers
  • The senior class had a car wash to raise money for the senior trip. It cost them $35 for supplies. They washed 75 cars and charg
    10·1 answer
  • What is the solution
    9·1 answer
  • Tina rides the bus to school, Theo bikes to school, and Tony walks to school. Their probabilities of being the first one to scho
    13·2 answers
  • You deposit $4000 in an account earning 6% interest compounded continuously. How much money will you have in the account in 15 y
    7·1 answer
  • 1. A spinner has 5 equal sectors numbered 1 through 5. What is the probability that the result of a spin will be an odd number?
    9·1 answer
  • 10 flowers in 5 vases = ? flowers per vase
    10·2 answers
  • 535053424567 x 6566207654999=???
    10·2 answers
  • Make the following conversions in the metric system by multiplying by the appropriate conversion factors. Write your answers as
    14·1 answer
  • A machinist is using a 4.5 inch nominal size boring bit when she is given plans that require tolerances of 1.4 thousandths of an
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!