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babymother [125]
3 years ago
13

A medical researcher says that less than 87​% of adults in a certain country think that healthy children should be required to

be vaccinated. In a random sample of 500 adults in that​ country, 85​% think that healthy children should be required to be vaccinated. At alphaequals0.05​, is there enough evidence to support the​ researcher's claim? Complete parts​ (a) through​ (e) below.
Mathematics
1 answer:
Lyrx [107]3 years ago
3 0

Answer: It is not enough evidence to support the researcher's claim.

Step-by-step explanation:

Since we have given that

n = 500

\hat{p}=0.85

So, the hypothesis are as follows:

H_0:\hat{p}

So, the z value would be

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.85-0.87}{\sqrt{\dfrac{0.87\times 0.13}{500}}}\\\\z=\dfrac{-0.02}{0.015}\\\\z=-1.33

At α = 0.05

z= -1.64

So, 1.64<-1.33

So, we accept the null hypothesis.

Hence, it is not enough evidence to support the researcher's claim.

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Answer:

d) x = 2

Step-by-step explanation:

3(x - 6) + 3 = -9

<em>open the parenthesis</em>

3x - 18 + 3 = -9

3x - 15 = -9

<em>add 15 to both sides of the equation</em>

3x - 15 + 15 = - 9 + 15

3x = -9 + 15

3x = 6

<em>divide both sides by 3</em>

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Answer:

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Step-by-step explanation:

The slope intercept form is a line (straight line)

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3 years ago
Jenna and Richie go shopping at the mall to buy their mom a present they buy a scarf for $12.45 and a necklace for $35.65 their
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Answer:

The tax Jenna and Richie pay on the gifts is <u>$3.85</u>.

Step-by-step explanation:

Given:

Cost of scarf = $12.45.

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Now, to find the sales tax paid on the gifts.

So, adding the price of the gifts:

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