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Kitty [74]
3 years ago
10

400 students were randomly sampled from a large university, and 289 said they did not get enough sleep. Conduct a hypothesis tes

t to check whether this represents a statistically significant difference from 50%, and use a significance level of 0. 1
SAT
1 answer:
jarptica [38.1K]3 years ago
4 0

Answer:

The sample proportion represents a statistically significant difference from 50%

Explanation:

The sample proportion is the same as 50%

Alternate hypothesis: The sample proportion is not the same as 50%

z = (p' - p) ÷ sqrt[p(1 - p) ÷ n]

p' is sample proportion = 289/400 = 0.7225

p is population proportion = 50% = 0.5

n is number of students sampled = 400

z = (0.7225 - 0.5) ÷ sqrt[0.5(1 - 0.5) ÷ 400] = 0.2225 ÷ 0.025 = 8.9

The test is a two-tailed test. Using a 0.01 significance level, critical value is 2.576. The region of no rejection of the null hypothesis is -2.576 and 2.576.

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Does oppression, inequalities, exploitation and domination mean the same thing?​
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4 years ago
B(n)=2^n A binary code word of length n is a string of 0's and 1's with n digits. For example, 1001 is a binary code word of len
Citrus2011 [14]

Answer:

The additional words is 2^n

Explanation:

Given

B(n) = 2^n

Required

Determine the additional words; i.e. B(n + 1) - B(n)

From the given parameters, we have that;

B is a function of n

Such that;

B(n) = 2^n

To calculate B(n+1), we simply substitute n + 1 for n

B(n) = 2^n

B(n + 1) = 2^{n + 1}

Applying laws of indices

B(n + 1) = 2^{n} * 2^1

B(n + 1) = 2^{n} * 2

B(n + 1) = 2(2^{n})

Calculating Additional Binary Code;

B(n + 1) - B(n)

Substitute values for B(n + 1) and B(n)

B(n + 1) - B(n) = 2(2^n) - 2^n

Express 2^n as 2^ n * 1

B(n + 1) - B(n) = 2(2^n) - 2^n * 1

Express 1 as 2^0

B(n + 1) - B(n) = 2(2^n) - 2^n * 2^0

Factorize

B(n + 1) - B(n) = 2^n(2 - 2^0)

B(n + 1) - B(n) = 2^n(2 - 1)

B(n + 1) - B(n) = 2^n(1)

B(n + 1) - B(n) = 2^n

Hence, the additional words is 2^n

8 0
3 years ago
You are studying the population growth of a species of fish. Assuming unlimited resources, no predators, and a constant per capi
ArbitrLikvidat [17]

The projected population size in 2030 will be : ≈ 44159

First step : determine the population growth rate

Gr = change in population / time

    = ( 1500 - 1100 ) / 1 year

    = 400 = 36%

<h3>Determine the projected population size </h3>

applying Malthus's population projection.

Pp = P₁ ( 1 + r )ⁿ

where ; P₁ = 1500, r = 0.36 , n = ( 2030 - 2019 ) = 11 years

Pp = 1500 ( 1 + 0.36 )¹¹

    = 1500 ( 29.439 )

    = 44158.5  ≈ 44159

Hence we can conclude that the projected population size as at 2030 is 44159

Learn more about projected population : brainly.com/question/25896797

7 0
3 years ago
Management is both a science and an art. Discuss this statement, giving suitable examples
SSSSS [86.1K]

Answer:

Management is both an art and a science. ... It is considered as a science because it has an organized body of knowledge which contains certain universal truth. It is called an art because managing requires certain skills which are personal possessions of managers.

Explanation:

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3 years ago
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