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3 years ago

Which graph below shows the solution set for the inequality b ≥ 5?

Mathematics

1 answer:

hichkok12 [17]3 years ago

5 0

Second option, b starts on five and continues to the right side of it because b is greater than five. It is closed dot because it is equal to or greater than five.

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Anna [14]

Answer: trivial solution is the only solution to Ax = 0, therefore columns must be linearly independent.

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vlabodo [156]

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3 years ago

A group of consumers were randomly selected and asked whether they were planning to buy a new TV screen within the next year. 56

kodGreya [7K]

Answer:

The approximate probability is 0.1921.

Step-by-step explanation:

The p-value is defined as the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.

The hypothesis to test whether the proportion of consumers that plan to buy a new TV screen within the next year is 0.22, is defined as:

H₀: The proportion of consumers that plan to buy a new TV screen within the next year is 0.22, i.e. p = 0.22.

Hₐ: The proportion of consumers that plan to buy a new TV screen within the next year is 0.22, i.e. p > 0.22.

The information provided is:

n = 230

X = 56

Compute the value of sample proportion as follows:

$\hat p=\frac{X}{n}=\frac{56}{230}=0.2435$

Compute the test statistic as follows:

$z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.2435-0.22}{\sqrt{\frac{0.22(1-0.22)}{230}}}=0.87$

The test statistic value is, 0.87.

Compute the p-value as follows:

$p-value=P(Z>0.87)=1-P(Z$

*Use a z-table for the probability.

The p-value of the test is 0.1921.

Thus, the approximate probability of obtaining a sample proportion equal to or larger than the one obtained here is 0.1921.

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3 years ago