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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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Which is the equation of a line that is perpendicular to 6x – 4y = 9?
natulia [17]

6x – 4y = 9

4y = 6x - 9

y = 6/4 x - 9/4

y = 3/2 x - 9/4 this line has slope = 3/2


perpendicular line, slope is opposite and reciprocal so slope of this line = -2/3


answer:

A. y= - 2/3 x - 4 (only this line has slope = -2/3)

8 0
3 years ago
f the points (-4, 1) and (2, 1) are the endpoints of a diameter of a circle, where is the center? A) (-7, 1) B) (-1, 1) C) (1, -
Ulleksa [173]

Answer:

B

Step-by-step explanation:

The centre is at the midpoint of the endpoints of the diameter.

Using the midpoint formula, then

centre = ( \frac{-4+2}{2}, \frac{1+1}{2} ) = (- 1, 1 ) → B

4 0
2 years ago
A bag contains 19 white balls and 6 black balls. the balls are drawn with replacement. what is the expected number of white ball
MrRissso [65]
For every four white balls taken out one black ball is taken out so it would be the 52 white ball
3 0
3 years ago
A cutting tool fails due to flank wear while machining. It is observed that the tool life at a cutting speed of 160 m/min is 5 m
Ahat [919]

Answer:

The answer is:

30 minutes.

Step-by-step explanation:

We are given the following information:

at 160 m/min, tool life = 5 min.

at 120 m/min, tool life = 17 min.

This means that as the speed reduced from 160 m/min to 120 m/min, the tool life increased from 5 min. to 17 min, hence the difference between the changes are:

speed = 160 - 120 = 40 m/min

tool life = 17 - 5 = 12 min.

Therefore, it can be concluded that a change of speed of 40 m/min, increases the tool life by 12 min.

40 m/min = 12 min

∴ 1 m/min = 12/40 min.

∴ 100 m/min = 12/40 × 100 = 0.3 × 100 =30 min.

8 0
2 years ago
Danika has one apple that weighs 1/4 lb and another apple weighs 3/16 lb. Find the DIFFERENCE in their weights.
Mama L [17]

Answer: A.

Step-by-step explanation:

Danika has 1/4 lb apple and a 3/16 apple. We have to find a common denominator to be able to subtract them. We can do this by finding out 4 times how much equals 16. Which is 4. So you multiply both of the numbers by 4, (1x4 = 4 , 4x4 = 16) being 4/16. Now you just have to subtract the top numbers "4-3 = 1" 1/16.

4 0
2 years ago
Read 2 more answers
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