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
hammer [34]
2 years ago
7

In a representative sample of 1000 adult Americans, only 400 could name at least one justice who is currently serving on the U.S

. Supreme Court. Using a significance level of 0.01, carry out a hypothesis test to determine if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court. (For z give the answer to two decimal places. For P give the answer to three decimal places.)
z=
p=
Mathematics
1 answer:
lys-0071 [83]2 years ago
8 0

Answer:

1) z = -6.32

2) p-value = 0.001 × 10^(-2)

3) we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

Step-by-step explanation:

We are told that In a representative sample of 1000 adult Americans, only 400 could name at least one justice.

Thus:

Sample proportion; p^ = 400/1000 = 0.4

Sample size: n = 1000

We want to find if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice.

Thus, the hypothesis is defined as;

Null hypothesis:H0: p ≥ 0.5

Alternative hypothesis: Ha < 0.5

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Plugging in the relevant values;

z = (0.4 - 0.5)/√(0.5(1 - 0.5)/1000)

z = -6.32

From online p-value from z-score calculator attached, using z = -6.32; significance level of 0.01; one tailed hypothesis;

We have:

p-value = 0.00001 = 0.001 × 10^(-2)

The p-value is less than the significance level and so we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

You might be interested in
If f(x) = x2 + 1 and g(x) = 5x – 3, what is f(g(x))?
lapo4ka [179]

Answer:

5x2 - 10

Step-by-step explanation:

F(5x - 3)

(5x - 3)2 + 1

5x2 - 9 + 1

5x2 - 10

7 0
3 years ago
I’ll mark brainliest if correct lol
True [87]

Answer:

10 seconds

Step-by-step explanation:

mark two points on the line the use the slope rule to calculate it you'll find it's -5 m/s

8 0
3 years ago
Read 2 more answers
Help i need Help im struggling ​
HACTEHA [7]

Answer:

c.2,400 I think is c. nose you

Step-by-step explanation:

╮(╯_╰)╭

8 0
2 years ago
The perimeter of a rectangular red sticker is 34 mm. it is 8 mm tall. how wide is it?​
Orlov [11]

Answer:

9 mm wide

Step-by-step explanation:

Perimeter = length x 2 + width x 2

34 mm = 16 mm + ?

34mm = 16 mm + 18 mm

18/2 = 9

9 mm wide

8 0
3 years ago
Read 2 more answers
For a Standard Normal Distribution
Serggg [28]
In your question where ask to find the Standard Normal Distribution of the following:

give probabilities for 0<Z<infinity. For these ranges, you can read directly, for example, P(Z<1.96)=0.975. So for #1, you read directly on the line 1.3 and column 0.03. For #2, we note that the distribution is symmetrical about Z=0, so P(Z<-2.33) is the same as P(Z>2.33) which again is the same as 1-P(Z<2.33) because we know that the area under a probability distribution function adds up to 1. For the remaining questions, work is similar to #2.

8 0
3 years ago
Other questions:
  • I can't even read the two way table please help
    10·1 answer
  • Find the minimum of <br> f(x) = x − 3<br><br> x<br> + 5<br> on the horizontal span of <br> 0 to 5
    11·1 answer
  • Which expressions are equivalent to 3x+ 3(x + y)?
    8·1 answer
  • Jon invests $4,100 into an account that pays 5 percent simple interest each year. What is the total balance in the account after
    11·2 answers
  • Solve the equation and show your work W + 87 = 102
    7·1 answer
  • What is the fraction of students that are girls at the bar-b-que, there are 40 boys and 60 girls
    6·1 answer
  • If f (x) = x2 + 3x + 4 and g(x) = 5x + 7, for what values of x does f (x) = g(x)​
    9·1 answer
  • 9.75 divided by 5 equals
    11·1 answer
  • Driving 3 miles turn right drive 4 miles what is your straight line distance from your starting point
    14·1 answer
  • PLEASE HELPPPPPPP!!!!!!!!!!!!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!