Which is greater 1/4 or 0.4

According to an article in Newsweek, the natural ratio of girls to boys is 100:105. In China, the birth ratio is 100:114 (46.7%

mojhsa [17]

Answer:

$z=\frac{0.42 -0.467}{\sqrt{\frac{0.467(1-0.467)}{150}}}=-1.154$

$p_v =2*P(z$

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 girls born is not significantly different from 0.467

Step-by-step explanation:

Data given and notation

n=150 represent the random sample taken

X=63 represent the number of girls born

$\hat p=\frac{63}{150}=0.42$ estimated proportion of girls born

$p_o=0.467$ 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 the true proportion if girls is 0.467.:

Null hypothesis: $p=0.467$

Alternative hypothesis: $p \neq 0.467$

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:

$z=\frac{0.42 -0.467}{\sqrt{\frac{0.467(1-0.467)}{150}}}=-1.154$

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 bilateral test the p value would be:

$p_v =2*P(z$

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 girls born is not significantly different from 0.467

3 0

3 years ago

A recipe for fruit punch calls for 8 cups of Sprite for every 12 cups of fruit juice. Which equation can be used to find x, the

Nikolay [14]

Answer:

It would be 1/3

Step-by-step explanation:

3 0

3 years ago

In a prior sample of corn, farmer Carl finds that 14% of the sample has worms but the margin of error for his population estimat

Savatey [412]

Answer: 741

Step-by-step explanation:

As per given ,we have

The prior estimate of population proportion: $p=0.14$

Margin or error : 2.5%=0.025

Critical value for 95% confidence = $z_{\alpha/2}=1.96$

Formula to find the sample size :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$

i.e. $n=0.14(1-0.14)(\dfrac{1.96}{0.025})^2$

$=740.045824\approx741$

Hence, the minimum sample size required to obtain this type of accuracy= 741

6 0

3 years ago

A plumber charges $45 for a service call to come to your house and $18 an hour while he is working. Write a function that shows

Brilliant_brown [7]

Answer:

This relationship can be represented by a linear equation

$y=18x+45$

Step-by-step explanation:

$y=18x+45$

Where x is time in hours

6 0

3 years ago

NikAS [45]

So if triangle ABC is similiar to triangle DEC then we know that when two figures are similar, the ratios of the lengths of their corresponding sides are equal.So we can write:

AC/DC = BC/EC =AB/DE = k

BC= 9ft + 6ft = 15

BC/EC= k
15/6=k

Now that we know the k we can find the height of the tree that's equal to AB:

AB/DE= k
AB/4=15/6
6AB= 15 x 4
AB= 60/6 = 10

The height of the tree is 10ft

3 0

3 years ago