Simplify. 1/2/8 A.16 B. 1/26 C.4 D. 1/4

A manufacturer of a new medication on the market for Alzheimer's disease makes a claim that the medication is effective in 65% o

NeX [460]

Answer:

$z=\frac{0.639 -0.65}{\sqrt{\frac{0.65(1-0.65)}{180}}}=-0.309$

$p_v =P(z$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ 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 5% of significance the proportion of adults with the medication was effective is not significantly less than 0.65

Step-by-step explanation:

Data given and notation

n=180 represent the random sample taken

X=115 represent the adults with the medication was effective

$\hat p=\frac{115}{180}=0.639$ estimated proportion of adults with the medication was effective

$p_o=0.65$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

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 true proportion is less than 0.65.:

Null hypothesis: $p \geq 0.65$

Alternative hypothesis: $p < 0.65$

When we conduct a proportion test we need to use the z statisitc, 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:

$z=\frac{0.639 -0.65}{\sqrt{\frac{0.65(1-0.65)}{180}}}=-0.309$

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 $\alpha=0.05$ . The next step would be calculate the p value for this test.

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

$p_v =P(z$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ 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 5% of significance the proportion of adults with the medication was effective is not significantly less than 0.65

3 0

3 years ago

Find 2 values for x for which f(x)=-28

Mekhanik [1.2K]

-7 x 4= -28

-14 x 2+ 28

8 0

3 years ago

Need helpppppp!!!!!!!!!!

KonstantinChe [14]

Answer: 12, 15, 11, 28

Explanation:

14. FC is half of AC so the length of FC is 12.

15. BD is 30 and half of that is BC or 15. AB and BC have same length so it is also 15.

16. ED and BE have same length so it is also 11.

17. BD is twice of AB so if AB is 14, BD will be 28.

Would appreciate a brainly <3

3 0

3 years ago

Read 2 more answers

The solutions to a certain quadratic equation are x = -4 and x = 3. Write the equation in standard form below.

saw5 [17]

Answer:

$x^2 + x -12$

Step-by-step explanation:

If the solutions are x=-4 and x=3, then it must have factors (x+4)(x-3). Assuming there is no GCF or leading coefficient other than 1, multiply with FOIL to find the standard form.

$(x+4)(x-3)\\x^2 + 4x -3x -12\\x^2 + x -12$

7 0

3 years ago

Read 2 more answers

One angle of an isosceles triangle measures 50°. Which other angles could be in that isosceles triangle? Choose all that apply

Kisachek [45]

Answer:

Step-by-step explanation:

4 0

3 years ago

Simplify.1/2/8A.16B. 1/26C.4D. 1/4​

Simplify.1/2/8A.16B. 1/26C.4D. 1/4