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
Paul [167]
3 years ago
15

What is your favorite color? A large survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and

others, indicated that most people prefer the color blue. In fact, about 24% of the population claim blue as their favorite color.† Suppose a random sample of n = 52 college students were surveyed and r = 12 of them said that blue is their favorite color. Does this information imply that the color preference of all college students is different (either way) from that of the general population? Use α = 0.05. (a) What is the level of significance?
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
7 0

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 0.24

For the alternative hypothesis,

p ≠ 0.24

This is a two tailed test

Considering the population proportion, probability of success, p = 0.24

q = probability of failure = 1 - p

q = 1 - 0.24 = 0.76

Considering the sample,

Sample proportion, P = r/n

Where

r = 12

n = 52

P = 12/52 = 0.23

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.23 - 0.24)/√(0.24 × 0.76)/52 = - 0.17

Recall, population proportion, P = 0.24

The difference between sample proportion and population proportion(p - P) is 0.24 - 0.23 = 0.01

Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.24 - 0.01 = 0.23

the p for the right tail is 0.24 + 0.01 = 0.25

These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area below the test z score in the left tail 0.43

We would double this area to include the area in the right tail of z = 0.17 Thus

p = 0.43 × 2 = 0.86

The level of significance is 5%

Since alpha, 0.05 < than the p value, 0.86, then we would fail to reject the null hypothesis. Therefore, at 5% significance level, this information does not imply that the color preference of all college students is different (either way) from that of the general population.

You might be interested in
The price of a burger meal changed from $5.00 to $7.50. What is the percent change in the cost of the burger meal ?
Gala2k [10]

Answer:

50%

Step-by-step explanation:

(V2−V1)|V1|×100

=(7.5−5)|5|×100

=2.55×100

=0.5×100

=50%change

=50%increase

4 0
3 years ago
Plz answer. only if correct
earnstyle [38]

Answer:10001.5%+10303990=f(g+2)

Step-by-step explanation:

i dont remeber how to do this cap

5 0
3 years ago
ackie’s report is 5 pages longer than half the number of pages in Kane’s report. There are 14 pages in Kane’s report. How many p
natulia [17]
Jackie's report is 12 pages long.
4 0
3 years ago
Which equation has the same solutions as the equation given below?
Lapatulllka [165]

Answer:

B

Step-by-step explanation:

Also solved eveything

(x+9)^2=49

x^2+18x+81=49

x^2+18x+32=0

a=1, b=18 and c=32

x= (-18 +/- Sqrt (18^2-4×32))/2

x= (-18 +/- Sqrt (324-128))/2

x= (-18 +/- Sqrt (196))/2

x= (-18 +/- 14)/2

x= (-18 +14)/2 = -4/2 =-2

OR

x= (-18 -14)/2 = -32/2 =-16

3 0
3 years ago
Read 2 more answers
Solve this equation, x-5=11<br> (Please include step by step)
Andru [333]
X-5=11
+5 both sides
x=16
hope this helped
4 0
3 years ago
Other questions:
  • You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 30 nigh
    7·1 answer
  • A cylindrical container has a capacity of 901 cm3. If the
    15·2 answers
  • Help me please thank you!!
    9·1 answer
  • five times the difference of a number and 3 is the same as 3 increased by 5 times the number plus three times the number. find t
    12·1 answer
  • Help I don’t understand
    14·1 answer
  • The model represents an equation.
    6·1 answer
  • Solve the quadratic equation by factoring:
    14·1 answer
  • What is the value n ?
    12·1 answer
  • A painter uses 1.2 liters of the paint to cover 1m2 of the wall.
    9·1 answer
  • Ramon is going to walk, jog, and run a total distance of 30 miles for charity. He plans to walk 1/2 of the total distance,of the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!