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2 years ago

Pls Help I hate math

Mathematics

1 answer:

Leni [432]2 years ago

7 0

Answer:

Step-by-step explanation:

Remark

There are three rectangles all the same size.

There are two triangles both the same size

Triangles.

Givens

b = 7.5 cm

h = 6.5

Solution

Area 1 triangle = 1/2 * 7.5 * 6.5

Area 1 triangle = 24.375

Area 2 triangles = 2*24.375 = 48.75

Rectangles

Givens

L = 13.5

w = 7.5

Solution

Area one rectangle = L*w

Area one rectangle = 13.5*7.5

Area one rectangle = 101.25

Area three rectangles = 3*101.25

Area three rectangles = 303.75 Add

Total Area = 352.5

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Answer:

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b) The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

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Step-by-step explanation:

If np' and n(1-p') are higher than 5, a confidence interval for the proportion is calculated as:

$p'-z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }\leq p\leq p'+z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }$

Where p' is the proportion of the sample, n is the size of the sample, p is the proportion of the population and $z_{\alpha/2}$ is the z-value that let a probability of $\alpha/2$ on the right tail.

Then, a 98% confidence interval for the percentage of all males who identify themselves as the primary grocery shopper can be calculated replacing p' by 0.52, n by 2400, $\alpha$ by 0.02 and $z_{\alpha/2}$ by 2.33

Where p' and $\alpha$ are calculated as:

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So, replacing the values we get:

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With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

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It means the the level of significance $\alpha$ is:

$\alpha =1-0.98=0.02$

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