The point (x, y) is proportional to the point (2, 5). Select all the true statements.

Use this information to answer the questions. University personnel are concerned about the sleeping habits of students and the n

Oksanka [162]

Answer:

$z=\frac{0.554 -0.5}{\sqrt{\frac{0.5(1-0.5)}{377}}}=2.097$

$p_v =P(Z>2.097)=0.018$

If we compare the p value obtained and the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of students reported experiencing excessive daytime sleepiness (EDS) is significantly higher than 0.5 or the half.

Step-by-step explanation:

1) Data given and notation

n=377 represent the random sample taken

X=209 represent the students reported experiencing excessive daytime sleepiness (EDS)

$\hat p=\frac{209}{377}=0.554$ estimated proportion of students reported experiencing excessive daytime sleepiness (EDS)

$p_o=0.5$ 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)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.5:

Null hypothesis: $p\leq 0.5$

Alternative hypothesis: $p > 0.5$

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 $p_o$ .

3) Calculate the statistic

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

$z=\frac{0.554 -0.5}{\sqrt{\frac{0.5(1-0.5)}{377}}}=2.097$

4) 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 right tailed test the p value would be:

$p_v =P(Z>2.097)=0.018$

If we compare the p value obtained and the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of students reported experiencing excessive daytime sleepiness (EDS) is significantly higher than 0.5 or the half.

6 0

3 years ago

A zoo has a total of 8 lions and tigers. The number of tigers is one less than twice the number of lions. Write a system of equa

valina [46]

Answer:

C. 2L-1

Step-by-step explanation:

:)

4 0

2 years ago

Can an answer be incorrect even if it looks reasonable?

Anna [14]

Answer:

<em>Yes, an answer can be incorrect even it it looks reasonable.</em>

Explanation:

Yes, an answer can be incorrect even if it looks reasonable, for two main reasons:

The assumptions (premises or statements) on which the reasoning is based are wrong.

The reasoning sounds good but it is a fallacy.

To avoid the first condition you must be sure about the facts, which may be information from an experiment that you performed or from a source. In order for an answer be correct, make sure your premises are true.

Dealing with the second condition, a fallacy is an argument that seems strictly logical but is misleading: you must learn which reasonings are really valid; this is, that the conclusion unequivocally follows from the premises.

There are rules for the arguments to be valid, and that is the object of logic study.

Fallacies are sometimes used by those interested in supporting a point of view without having true reason on their side. You should have some knowledges about logic to avoid being victim of the fallacies, which can drive you to make wrong decisions.

3 0

2 years ago

The function f(x) = 2x – 3 is graphed below.<br> What is the y-intercept?

Amanda [17]

Answer:

ill give u the answer if u do 73 divided by 2628

Step-by-step explanation:

3 0

3 years ago

A card is drawn from a standard deck of 5252 playing cards. What is the probability that the card will be a heart or a face card

mr_godi [17]

Answer:

The probability that the card will be a heart or a face card is P=0.4231.

Step-by-step explanation:

We have a standard deck of 52 cards.

In this deck, we have 13 cards that are a heart.

We also have a total of 12 face cards (4 per each suit). So there are 3 face cards that are also a heart.

To calculate the probability that a card be a heart or a face card, we sum the probability of a card being a heart and the probability of it being a face card, and substract the probability of being a heart AND a face card.

We can express that as:

$P(H\,or\,F)=P(H)+P(F)-P(H\&F)\\\\P(H\,or\,F)=13/52+12/52-3/52=22/52=0.4231$

4 0

3 years ago