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VLD [36.1K]
3 years ago
5

If 2n = 54/9 then n = ______

Mathematics
1 answer:
Fantom [35]3 years ago
8 0

Answer:

1). 3

2). 6

3). 9

Step-by-step explanation:

ksjsjsjsjs

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Ten years ago 53% of American families owned stocks or stock funds. Sample data collected by the Investment Company Institute in
stiks02 [169]

Answer:

a) The null and alternative hypothesis are:

H_0: \pi=0.53\\\\H_a:\pi

b) If 300 families were sampled, for a significance level of 5%, there is enough evidence to support the claim that a smaller proportion of American families own stocks or stock funds this year than 10 years ago (P-value = 0.001).

 

Step-by-step explanation:

The claim that we want to have evidence to support is that a smaller proportion of American families own stocks or stock funds this year than 10 years ago.

The hypothesis for this test should state:

- For the null hypothesis, that the population proportion is not significantly different from 53%.

H_0:\pi=0.53

- For the alternative hypothesis, that the population proportion is significantly less than 53%.

H_a: \pi

If 300 families are sampled, we can perform a hypothesis test for a proportion.

The claim is that a smaller proportion of American families own stocks or stock funds this year than 10 years ago.

Then, the null and alternative hypothesis are:

H_0: \pi=0.53\\\\H_a:\pi

The significance level is 0.05.

The sample has a size n=300.

The sample proportion is p=0.44.

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.53*0.47}{300}}\\\\\\ \sigma_p=\sqrt{0.00083}=0.029

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.44-0.53+0.5/300}{0.029}=\dfrac{-0.088}{0.029}=-3.065

This test is a left-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z

As the P-value (0.001) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that a smaller proportion of American families own stocks or stock funds this year than 10 years ago.

3 0
3 years ago
The green shape is a dilation of the black shape. What is the scale factor of the dilation?
kow [346]

Answer:

4

Step-by-step explanation:

7 0
3 years ago
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What is 108320 x 109e34
ArbitrLikvidat [17]

Answer:

The answer is 1.180688e+41

Step-by-step explanation:

This was what google give me lol.

<em>sorry</em><em> </em><em>if</em><em> </em><em>im</em><em> </em><em>wrong</em><em>. </em>

8 0
3 years ago
Read 2 more answers
Find the slope of the line below using rise/run.<br>​
QveST [7]

Answer:

A, 2/3

Step-by-step explanation:

you rise 2 and run 3

6 0
3 years ago
Read 2 more answers
Please help, thank you!!
gizmo_the_mogwai [7]

Answer:

the answer would be 2

Step-by-step explanation:

you'll get the answer by  dividing

6 0
2 years ago
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