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yan [13]
3 years ago
14

Researchers at Gallup were interested in whether there was a decrease in the proportion of nonretirees (in other words, people w

ho are not yet retired) who did not believe that the U.S. Social Security program will be able to pay them a retirement benefit when they retire. In the summer of 2010, the Gallup poll found that 60% of nonretirees thought that Social Security would not be able to pay a benefit. Five years later in the summer of 2015, Gallup asked the same question to 1,282 nonretirees and found that 51% of respondents did not think that Social Security would be able to pay a retirement benefit by the time that they retire. We would like to test the hypothesis that in 2015 there is a lower proportion of nonretirees who do not think that Social Security will be able to pay them a benefit. A z-test for the population proportion showed that z = -4.29, p < 0.001.
Which of the following is the best conclusion based on the output?

A. We have extremely strong evidence to reject H0.

B. We have extremely strong evidence to reject Ha.

C. We have moderately strong evidence to reject H0.

D. There is a probability of 0 that H0 is correct.

E. There is a probability of 0 that Ha is correct.
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
8 0

Answer:

A. We have extremely strong evidence to reject H0.

Step-by-step explanation:

Let P be the proportion of non-retirees in 2015 who did not think that Social Security would be able to pay a retirement benefit by the time that they retire.

According to the data null and alternative hypotheses should be:

  • H_{0}: P=0.60
  • H_{a}: P<0.60

Test statistics is -4.29 and p-value of the statistics is p<0.001

At every significance levels higher than 0.001, we can reject the null hypothesis since p<0.001.

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Rozalie spent $26 at a parking garage in downtown Orlando. The garage charged a base free of $7.50 for the first hour and a hour
bagirrra123 [75]
ANSWER : Rozalie spent 6.73 hours at the garage


rate of change = $2.75
base fee = $7.50

set up your equation:
2.75h + 7.5 = 26
($2.75/hour plus the base fee of $7.50 equals the total amount spent, $26)

Now just solve for h

2.75h + 7.5 = 26
2.75h = 18.5
h = 6.727273 (rounded)
h = 6.73

So the answer would be Rozalie spent about 6.73 hours at the garage.

6 0
3 years ago
Geometry proofs<br> help me please :)
REY [17]

Answer:

2) Right angles always equal 90°

3) m∠F = 90° and m∠G = 90° which means they have the same angle measure.

4) Removing the m and replacing with the congruent symbol.

I'm not too sure how this goes but it should be something like that.

5 0
3 years ago
Two balls are pulled one after another, without replacement, from the box containing three black, five yellow, and seven red bal
kolezko [41]

Answer:

1/14

Step-by-step explanation:

5/15 × 3/14 = 1/14

Or 0.0714 (3sf)

6 0
3 years ago
The average of 3 of your quiz grades are 17 points. Two of your quizzes is 14 and 19 points. Write and solve an equation to find
dsp73
(17*3) --- to find the total points of the 3 quizzes
17*3=51
the third quiz grade=51-14-19=18
hope this helps
8 0
3 years ago
the sum of three numbers is 55. the second number is twice the first and the third number is five less than the second. What are
ArbitrLikvidat [17]

Let the first number be = x

Then the second number = 2x

The third number = 2x - 5

Their sum = 55

This can be written in an equation as =

x + 2x + 2x - 5 = 55

= x + 2x + 2x = 55 + 5 ( transposing -5 from LHS to RHS changes -5 to +5 )

= x + 2x + 2x = 60

= 5x = 60

= x = 60 ÷ 5 ( transposing ×5 from LHS to RHS changes ×5 to ÷5 )

= x = 12

The first number = x = 12

The second number = 2x = 2 × 20 = 24

The third number = 2x - 5 = 24 - 5 = 19

Therefore , the three numbers are 12 , 24 and 19 .

5 0
3 years ago
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