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
True [87]
3 years ago
12

A decade-old study found that the proportion, P, of high school seniors who believed that "getting rich" was an important person

al goal was 75%. A researcher decides to test whether or not that percentage still stands. He finds that, among the 215 high school seniors in his random sample, 170 believe that "getting rich" is an important goal. Can he conclude, at the 0.1 level of significance, that the proportion has indeed changed?
Perform a two-tailed test.

The null hypothesis:
The alternative hypothesis:
The type of test statistic (list degrees of freedom if necessary):
The value of the test statistic: (Round to at least three decimal places):
the p-value:

Can we conclude that the proportion of high school seniors who believe that "getting rich" is an important goal has changed? Yes or no
Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0

Answer:

Null hypothesis: H0; P = 0.75

Alternative hypothesis: Ha; P ≠ 0.75

z = -2.55

P value = P(Z<-2.556) + P(Z>2.556) = 0.011

Decision: We FAIL to REJECT the null hypothesis

Can we conclude that the proportion of high school seniors who believe that "getting rich" is an important goal has changed = NO

Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 99% confidence interval) ---- reject Null hypothesis

Z score < Z(at 99% confidence interval) ------ accept Null hypothesis

Step-by-step explanation:

Given;

n= 250 represent the random sample taken

Null hypothesis: H0; P = 0.75

Alternative hypothesis: Ha ≠ 0.75

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size = 250

po = Null hypothesized value = 0.75

p^ = Observed proportion = 170/250 = 068

Substituting the values we have

z = (0.68-0.75)/√(0.75(1-0.75)/250)

z = −2.556

To determine the p value (test statistic) at 0.01 significance level, using a two tailed hypothesis.

P value = P(Z<-2.556) + P(Z>2.556) = 0.011

Since z at 0.01 significance level is between -2.58 and +2.58 and the z score for the test (z = -2.556) which doesn't falls with the region bounded by Z at 0.01 significance level. And also the two-tailed hypothesis P-value is 0.011 which is lower than 0.01. Then we can conclude that we don't have enough evidence to reject the null hypothesis, and we can say that at 1% significance level the null hypothesis is valid, therefore we fail to reject the null hypothesis.

You might be interested in
Misha’s group was asked to write an expression equivalent to 7y2z+3yz2-3 . When Mr. Chen checked their answers, he found only on
damaskus [11]

Answer:

hellena

Step-by-step explanation:

Rule is that you just have to match up the corrisponding numbers and exponents to make the right expression. Hope i'm right.

8 0
3 years ago
Simplify<br> x² - 7x - 30<br> x² + 5x + 6
Elden [556K]

Answer:

(X+3)(x-10)

(X+3)(X+2)

6 0
2 years ago
Write the point- slope form of the equation of the line through the given point with the given slope
pashok25 [27]

Answer:

y=mx+b

y=-1x-4

y=2x+4

Step-by-step explanation:

8 0
3 years ago
Ms. Bloom brought 4 packs of treats for Halloween. She gave away 2 1/9 packs of treats to her class and gave away 5/9 packs of t
Eddi Din [679]

Answer: 1 1/3 packs of treats


Step-by-step explanation:

2 1/9 + 5/9 = 2 6/9, which can be simplified to 2 2/3.

We subtract 2 2/3 from 4, giving us 1 1/3

8 0
3 years ago
If d is 55 degrees then what is F and E degrees. Explain how you know​
kipiarov [429]

Answer:

F=55

E=70

Step-by-step explanation:

The total degree of a triangle is 180.

So we have 180-55*2

E=180-110

E=70

8 0
3 years ago
Other questions:
  • The graph of quadric function has a minumum at (-2,-3) and passes through the point (2,13)
    14·1 answer
  • Can someone please help
    7·1 answer
  • Question 2 and explanation
    6·1 answer
  • 2. Where was the center of the distribution of soldiers' foot lengths? How was the
    13·1 answer
  • Kylie wants to add 10 to 167. She thinks that the 6 represents the number of tens and thats by adding a 10 there are a total of
    8·1 answer
  • The volume of a pyramid is one third its height times the area of its base. The Louvre pyramid has a height of 20.6 meters and a
    9·1 answer
  • Find the value of p<br><br> 17 + 6p = 9
    8·2 answers
  • Pam and Tina went for a 12 mile hike (round trip) to the top of a mountain. It took 5 hours. They were able to hike 1 mile per h
    9·1 answer
  • Question down below! ty if u help&lt;3
    7·2 answers
  • Brainliest if correct
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!