How many solutions for x does the following equation have?

Suppose 244 subjects are treated with a drug that is used to treat pain and 51 of them developed nausea. Use a 0.01 significance

vodka [1.7K]

Answer:

$z=\frac{0.209 -0.2}{\sqrt{\frac{0.2(1-0.2)}{244}}}=0.351$

$p_v =P(z>0.351)=0.363$

So the p value obtained was a very high value and using the significance level given $\alpha=0.01$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 1% of significance the proportion of subjects with nauseas is not higher than 0.2 or 20% at 1% of significance.

Step-by-step explanation:

Data given and notation

n=244 represent the random sample taken

X=51 represent the subjects with nausea

$\hat p=\frac{51}{244}=0.209$ estimated proportion of subjects with nausea

$p_o=0.2$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.2.:

Null hypothesis: $p \leq 0.2$

Alternative hypothesis: $p > 0.2$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.209 -0.2}{\sqrt{\frac{0.2(1-0.2)}{244}}}=0.351$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.01$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>0.351)=0.363$

So the p value obtained was a very high value and using the significance level given $\alpha=0.01$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 1% of significance the proportion of subjects with nauseas is not higher than 0.2 or 20% at 1% of significance.

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3 years ago

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What are the domain and range of the function f(x) = x^4-2x^2-4 ?

tatuchka [14]

Answer:

Think about what domain and range is. Domain is the x and range is the y.

Step-by-step explanation: What values of x can you put in this function? Is there any number you cannot use?? Then what y's will you get back? The best way to find out might be to graph it to look. Since it is an even function whose ends go up, all the y's will be greater than or equal to the y value of the vertex.

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4 years ago

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In the diagram, points D and E are marked by drawing arcs of equal size centered at B such that the arcs intersect and . Then, i

ss7ja [257]

The measure of ∠ABP and ∠ABC are 32° and 64° respectively.

<h3>what is a bisector of an angle?</h3>

Any line which divides an angle into two equal halves is a bisector of that angle.

Analysis:

Since the arcs at D and E are drawn with the same radius and arc using center D and E are intersected by line PB( which is the bisector of the full arc with center B) then ∠ABP = ∠PBC = 32°.

∠ABC = ∠ABP + ∠PBC

∠ABC = 32 + 32 = 64°

In conclusion, ∠ABP and ∠ABC are 32° and 64°

Learn more about bisectors of angles: brainly.com/question/24334771

#SPJ1

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2 years ago

A kiddy pool is shaped like a cylinder and has a radius of 5 feet and a height of 2 feet. If a cubic foot holds about 7.48 gallo

VikaD [51]

Answer:

nsei ;-;

Step-by-step explanation:

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4 years ago

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I begg someone just please helppp

Temka [501]

Answer:

#4.

- 3 < - 2 1/2

If you consider the number line, the numbers increase from left to right. The number on the left is smaller than a number on the right.

- 3 is smaller than -2 1/2, it means -3 is on the left from the -2 1/2 on the number line.

#5.

Jada's score is positive, it means the number reflecting the score is to the right from zero on the number line.

Isabel's score is negative, it means the number reflecting the score is to the left from zero on the number line.

Since Isabel's score is to the left from the Jada's score, she has lower score than Jada.

With the lowest score, Isabel is the winner.

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3 years ago