A survey in Men’s Health magazine reported that 39% of cardiologists said that they took vitamin E supplements. To see if this is still true, a researcher randomly selected 100 cardiologists and found that 36 said that they took vitamin E supplements. At α = 0.05, test the claim that 39% of the cardiologists took vitamin E supplements. A recent study said that taking too much vitamin e might be harmful how might this study make the results of the previous study invalid?

Answers

Answer 1

Answer:

Answer:

$z=\frac{0.36 -0.39}{\sqrt{(0.39(1-0.39))/(100)}}=-0.615$

The p value for this case would be:

$p_v =2*P(z<-0.615)=0.539$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39

Step-by-step explanation:

Information given

n=100 represent the random sample taken

X=36 represent the number of people that take E supplement

$\hat p=(36)/(100)=0.36$ estimated proportion of people who take R supplement

$p_o=0.39$ is the value that we want to test

$\alpha=0.05$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true proportion is equatl to 0.39 or not, the system of hypothesis are.:

Null hypothesis: $p=0.39$

Alternative hypothesis: $p \neq 0.39$

The statistic is given by:

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

Replacing the info we got:

$z=\frac{0.36 -0.39}{\sqrt{(0.39(1-0.39))/(100)}}=-0.615$

The p value for this case would be:

$p_v =2*P(z<-0.615)=0.539$

Related Questions

You want to rent an unfurnishedone-bedroomapartment for next semester. The mean monthlyrent for a randomsample of 10 apartments advertised in the localnewspaper is $580.Assume that the standard deviation is$90. Find a 95% confidenceinterval for the mean monthly rentfor unfurnished one bedroomapartments available for rent in thiscommunity.
7) In 2014, the attendance at Jefferson School's School Festival was 650. In 2015, the attendance was 575. What was the percent change in attendance from 214 to 2015? Round to the nearest tenth. * A 11% B 12% decrease C 13% D 14%
Based on the scatterplot of the transformed data and the residual plot, which type of model is appropriate for estimating print publication each year? A linear model is appropriate because the residual plot does not show a clear pattern. A power model is appropriate because the scatterplot of years and the log of circulation is roughly linear. An exponential model is appropriate because the scatterplot of years and the log of circulation is roughly linear and the residual plot shows no distinct pattern. Both an exponential and a power model would be appropriate because the log of circulation was used to develop the model.
Determine if the transformation of figure a to figure b is a dilation
A boat is being towed such that the tow line is at an angle of 30° with respect to the surface of the ocean. If the boat is towed with a force of 50 Newtons for 7,000 meters, approximately how much work is done?A. 152,000 JoulesB. 175,000 JoulesC. 303,000 JoulesD. 350,000 Joules

Determine the measure of < 7
o 53
o 133
o 127
o 47

Answers

Answer:
• 127

Explanation:
How to find 127,
The line is 180°, so you take 53 minus 180.
180-53=127

Hope this helps! Good luck :)

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.y = (ln x2)2

Answers

Answer:

$(dy)/(dx)=(8lnx)/(x)$

Step-by-step explanation:

We are given that a function

$y=(lnx^2)^2$

We have to find the derivative of the function

Differentiate w.r.t x

$(dy)/(dx)=2(lnx^2)* (1)/(x^2)* 2x$

By using formula

$(d(lnx))/(dx)=(1)/(x)$

$(dx^n)/(dx)=nx^(n-1)$

$(dy)/(dx)=(4lnx^2)/(x)=(4(2)lnx)/(x)$

by using $lnx^y=ylnx$

Hence, the derivative of function

$(dy)/(dx)==(8lnx)/(x)$

Answer: The required derivative is $(dy)/(dx)=\nfrac{4}{x\ln x^2}$

Step-by-step explanation:

Since we have given that

$y=(\ln x^2)^2$

We need to derivative it w.r.t 'x'., using "Chain rule"

As we know that

$(d)/(dx) \ln x=(1)/(x)\n\nand\n\n(d)/(dx)x^n=nx^(n-1)$

So, it becomes,

$(dy)/(dx)=(1)/(\ln (x^2)^2)* 2\ln(x^2)* (1)/(x^2)* 2x\n\n(dy)/(dx)=(4)/(x\ln x^2)$

Hence, the required derivative is $(dy)/(dx)=\nfrac{4}{x\ln x^2}$

If a car travels at a constant speed of 45km/hr how long will a journey of 270km take?

Answers

the answer is 6hours because 270 divided by 45 is 6

Answer:

I think the answer is "6" but I could be wrong.

In the 2020 Super Bowl, San Francisco lost by 11 points. Develop a playbook for the team to use to win the game if there were 5 minutes on the clock.

Answers

Answer:

do better and kick butt ( lol) srry not helpful but just what I thought

Step-by-step explanation:

Renya plans to make a down payment plus monthlypayments in order to buy a motorcycle. At one dealer
she would pay $2,450 down and $175 each month. At another dealer, she would pay $3,050 down and
$150 each month. After how many months would the total amount paid be the same for both dealers?
What would that amount be?
After months Kenya will have paid $ for the bike at elther dealer. PLS HELP ASAP

Answers

Answer:

For the first, it would take 6 months to reach $3,500. For the second dealer, it would take 3 months to reach $3,500.

Explanation:

I hope this helps!

How to find arc ab in this question

Answers

If we assume the segments marked "2" are perpendicular to the chords AB and AC, then the figure is symmetrical. arc AB will be half of (360° - 150°).

arc AB = 210°/2 = 105°

Other Questions

I NEED HELP, PLEASE!!Two numbers have a distance of 6 units from 0 on a number line. The numbers can be graphed on the number line as points A and B.Drag and drop the labels to the correct positions on the number line.

Please help image attached

M/x =n-p, x for p ??

A large disaster cleaning company estimates that 30 percent of the jobs it bids on are finished within the bid time. Looking at a random sample of 8 jobs that it has contracted, find the probability that x (number of jobs finished on time) is within one standard deviation of the mean.