Logan is doing a handstand dive from a 12 meter platform. The equation that

Members of the millennial generation are continuing to be dependent on their parents (either living with or otherwise receiving

Morgarella [4.7K]

Answer:

a)

$\bf H_0:$ The mean of adults aged 18 to 32 that continue to be dependent on their parents is 0.3

$\bf H_a:$ The mean of adults aged 18 to 32 that continue to be dependent on their parents is greater than 0.3

b) 34%

c) practically 0

d) Reject the null hypothesis.

Step-by-step explanation:

a)

Since an individual aged 18 to 32 either continues to be dependent on their parents or not, this situation follows a Binomial Distribution and, according to the previous research, the probability p of “success” (depend on their parents) is 0.3 (30%) and the probability of failure q = 0.7

According to the sample, p seems to be 0.34 and q=0.66

To see if we can approximate this distribution with a Normal one, we must check that is not too skewed; this can be done by checking that np ≥ 5 and nq ≥ 5, where n is the sample size (400), which is evident.

We can then, approximate our Binomial with a Normal with mean

$\bf np = 400*0.34 = 136$

and standard deviation

$\bf \sqrt{npq}=\sqrt{400*0.34*0.66}=9.4742$

Since in the current research 136 out of 400 individuals (34%) showed to be continuing dependent on their parents:

$\bf H_0:$ The mean of adults aged 18 to 32 that continue to be dependent on their parents is 0.3

$\bf H_a:$ The mean of adults aged 18 to 32 that continue to be dependent on their parents is greater than 0.3

So, this is a right-tailed hypothesis testing.

b)

According to the sample the proportion of "millennials" that are continuing to be dependent on their parents is 0.34 or 34%

c)

Our level of significance is 0.05, so we are looking for a value $\bf Z^*$ such that the area under the Normal curve to the right of $\bf Z^*$ is ≤ 0.05

This value can be found by using a table or the computer and is $\bf Z^*$ = 1.645

Applying the continuity correction factor (this should be done because we are approximating a discrete distribution (Binomial) with a continuous one (Normal)), we simply add 0.5 to this value and

$\bf Z^*$ corrected is 2.145

Now we compute the z-score corresponding to the sample

$\bf z=\frac{\bar x -\mu}{s/\sqrt{n}}$

where

$\bf \bar x$ = mean of the sample

$\bf \mu$ = mean of the null hypothesis

s = standard deviation of the sample

n = size of the sample

The sample z-score is then

$\bf z=\frac{136 - 120}{9.4742/20}=16/0.47341=33.7759$

The p-value provided by the sample data would be the area under the Normal curve to the left of 33.7759 which can be considered zero.

d)

Since the z-score provided by the sample falls far to the left of $\bf Z^*$ we should reject the null hypothesis and propose a new mean of 34%.

7 0

2 years ago

A square has an area of 196 square centimeters. What is the length of each side?

kozerog [31]

Answer:

The answer is simply 49.

Step-by-step explanation:

196 ÷ 4 is why because their are 4 sides on a square if you divide it by 4 you get the answer 49. You're probably in like 3rd grade or smth this is so easy.

7 0

2 years ago

??? Need help please

elena55 [62]

Slope is -3
Explanation
Take points
(4,3) and (6,-3)
-3-(3)
———= -6/2 which equals -3
6-4

7 0

2 years ago

What is the difference??

aleksley [76]

9/x² - (2x+1)/8x =
72/8x² - (2x²+x)/8x² =
(72-2x²-x)/8x²=
(-2x -x+72)/8x². answer C. C. C

3 0

3 years ago

Maggie is considering two investments. Investment A Investment B Principal $10,000 $8,000 Interest rate 3% 2.8% Time in years 5

lana [24]

To solve this we are going to use the simple interest formula: $A=P(a+rt)$
where
$A$ is the final amount.
$P$ is the initial investment.
$r$ is the interest rate in decimal form.
$t$ is the time in years.

Investment A. We know that the initial investment is $10,000, so $P=10000$ . We also know that the number of years is 5, so $t=5$ . To convert the interest rate to decimal form, we are going to divide the rate by 100%
$r= \frac{3}{100} =0.03$
Lets replace those values in our formula to find $A$ :
$A=P(a+rt)$
$A=10000(1+0.03*5)$
$A=11500$

Investment B. $P=8000$ , $t=15$ , and $r= \frac{2.8}{100} =0.028$ .
$A=P(a+rt)$
$A=8000(1+0.028*15)$
$A=11360$

We can conclude that investment A will be worth than investment B at the end of the investment period.

3 0

3 years ago

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