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lana [24]
3 years ago
12

A researcher wants to construct a 90% confidence interval for the proportion of elementary school students in Seward County who

receive free or reduced-price school lunches. A state-wide survey indicates that the proportion is 0.50. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.1?
Mathematics
1 answer:
dezoksy [38]3 years ago
6 0

Answer:

The sample  size is  n =68

Step-by-step explanation:

    The population proportion is  \^ p =  0.50

     The margin of error is  E =  0.1

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90 ) \%

=>   \alpha = 0.10

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>  n = [\frac{1.645 }{0.1} ]^2 * 0.50  (1 - 0.50 )

=>  n =68

     

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Drupady [299]
The question is not clear because the Debbie solution lines are not visible. Nevertheless,
The correct solution for this linear equation is the following:
<span>3(x + 4) − 2 = 16
</span><span>3(x + 4) = 16 + 2 
</span><span>3(x + 4) = 18
</span>(x + 4) = 18/3
(x + 4) = 6
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3 years ago
Which of these expression is equivalent to -2(3-y)​
Alisiya [41]

A. -6+2y

Step-by-step explanation:

-2×3-2×(-y)

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8 0
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Consider a single spin of the spinner.
Nitella [24]

Answer:

landing on a shaded portion and landing on an even number ; landing on a shaded portion and landing on a number greater than 3 ; landing on an unshaded portion and landing on an odd number ; and landing on an unshaded portion and landing on a number less than 2.

Explanation:

Mutually exclusive events are events that cannot occur at the same time.  Our spinner has two grey sections, on 1 and 3; and two white sections, on 2 and 4.

This means that the spinner cannot land on a shaded (grey) portion and land on an even number at the same time, since the grey sections are numbered 2 and 4, both of which are even numbers.

The spinner also cannot land on a shaded (grey) portion and land on a number greater than 3 at the same time; this is because the only number greater than 3 on the spinner is 4, which is a white portion.

The spinner cannot land on an unshaded (white) portion and land on an odd number, since the white sections are labeled 2 and 4, which are both even.

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<h3>What is the area?</h3>

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square meters and other similar units are used to measure area.

The area of the track is found as;

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Hence, the area of the track will be 78501 m².

To learn more about the area, refer to the link;

brainly.com/question/11952845

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