Who else is a member of the church of Latter Day Saints

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

Which simplified ratio correctly compares 30 inches to 2 feet?

Serggg [28]

Answer:

5:4

Step-by-step explanation:

There are 12 inches in one foot, so there are 24 inches in 2 feet.

Therefore, the ratio that compares 30 inches to 2 feet is the ratio that compares 30 inches to 24 inches.

This is

$30\ :\ 24$

Simplify it:

$30\ :\ 24=\dfrac{30}{24}=\dfrac{6\times 5}{6\times 4}=\dfrac{5}{4}=5\ :\ 4$

4 0

3 years ago

There are______<br>Pairs of integers satisfying a÷b = -2

aleksandr82 [10.1K]

Answer:

There are only 1

Pairs of integers satisfying a÷b = -2

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Find the product of 7×1/2

a_sh-v [17]

The product is 7/2. Hope that helps

8 0

2 years ago

Hye Sun has a modern coffee table whose top is a triangle with the following side legngths: 8 feet , 3 feet, and 5 feet. Is Hye

ale4655 [162]

8 feet is the longest side so it would be the hypotenuse. Use the Pythagorean formula to check.
a^2 + b^2 = c^2
3^2+5^2 = 8^2
9 + 25 = 64
34 = 64
This is obviously not true si it is not a right triangle.

3 0

3 years ago