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
tigry1 [53]
3 years ago
7

Based on information from Harper’s Index, 37% of adult Americans believe in Extraterrestrials. Out of a random sample of 100 adu

lts who attended college, 47 claim they believe in Extraterrestrials. Does this indicate that the proportion of individuals who attended college and believe in Extraterrestrials is higher than the proportion found by Harper’s Index? Use α = 0.05 for your Confidence Interval, show all steps, clearly explain your conclusion
Mathematics
1 answer:
san4es73 [151]3 years ago
5 0

Answer:

z(s)  is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

Step-by-step explanation:

We have a prortion test.

P₀  =  37 %         P₀  = 0,37

sample size  =  n  =  100

P sample proportion   =   P  = 47 %        P  =  0,47

confidence interval  95 %

α  =   0,05  

One tail-test  (right tail) our case is to show if sample give enough information to determine if proportion of individual who attended college is higher than the proportion found by Harper´s index.

1.-Hypothesis:

H₀      null hypothesis                        P₀  =  0,37

Hₐ  alternative hypothesis                P₀  >  0,37

2.-Confidence interval 95 %

α  =   0,05        and    z(c)  =  1.64

3.-Compute of z(s)

z(s)  =  [  P  -  P₀  ]  /√(P₀Q₀/n) ]  

z(s)  =  [ (  0,47  -  0,37  ) /  √0.37*0,63/100

z(s)  = 0,1 /√0,2331/100     ⇒   z(s)  = 0,1 /0,048

z(s)  = 2.08

4.-Compare  z(s)   and  z(c)

z(s) > z(c)        2.08  > 1.64

5.-Decision:

z(s)  is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

You might be interested in
1. Kari is making copies at a local copy store of the program for her school play. She makes 52 copies and the total cost is $6.
Leona [35]
The first one is 2.78% second one is 3.8% third one is 4.5% and it will be 378
8 0
3 years ago
Your famous cookie recipe calls for
damaskus [11]

Answer:

I GOT -42 SO LIKE 4 1/2

Step-by-step explanation:

3 0
3 years ago
One yard is equal to three feet. Which expression represents the number of feet for any given number of yards? A. x-3 B. 3 • x C
Marysya12 [62]
The answer is B. For every yard there are 3 feet.
7 0
3 years ago
228 gumballs. There are actually 240 gumballs. What is the percent error?
alekssr [168]

Answer:

5% error

Step-by-step explanation:

5 0
2 years ago
If I on't have this done by Friday it will be my funeral <br> 24 = 2x − 8
tensa zangetsu [6.8K]
Add the 8 to 24 and divide 32 by 2
8 0
3 years ago
Read 2 more answers
Other questions:
  • If you are given a 4% raise and inflation is 1%, you are _____.
    13·2 answers
  • Help please anyone:)
    15·2 answers
  • Please help!! You want to distribute 7 candies to 4 kids. If every kid must receive at least one candy, in how many ways can you
    10·1 answer
  • Jessie wants to buy jeans that retail at $42.00. the jeans are marked 10% off and jessie has a coupon for an additional 10% off.
    8·1 answer
  • Divide 18 counters into 3 equal groups how many counters are in each group?SHOW YOUR WORK
    14·2 answers
  • Determine weather it is no solution many solutions or one solutions <br> 3(6-4m)=2(9-6m)
    8·1 answer
  • HELP:
    5·1 answer
  • Jordan has 10 ties, 3 Suits, 5 Belts, 8 Shirts, and 4 pairs of Shoes that he chooses from daily to select his professional wardr
    7·1 answer
  • IM GIVING BRAINLIEST!!!PLEASE HELP!!!PLEASE I PROMISE!!!
    14·1 answer
  • Did I do this right?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!