What is the value of x?

A random sample of 100 people was taken. Eighty-five of the people in the sample favored Candidate A. We are interested in deter

lbvjy [14]

Answer:

$z=\frac{0.85 -0.8}{\sqrt{\frac{0.8(1-0.8)}{100}}}=1.25$

$p_v =P(z>1.25)=0.106$

If we compare the p value obtained and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ 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 people who favored candidate A is not significalty higher than 0.8

ii) not significantly greater than 80%

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

$\hat p=0.85$ estimated proportion of people who favored candidate A

$p_o=0.8$ 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 is higher than 0.8.:

Null hypothesis: $p\leq 0.8$

Alternative hypothesis: $p > 0.8$

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:

$z=\frac{0.85 -0.8}{\sqrt{\frac{0.8(1-0.8)}{100}}}=1.25$

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:

$p_v =P(z>1.25)=0.106$

If we compare the p value obtained and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ 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 people who favored candidate A is not significalty higher than 0.8

ii) not significantly greater than 80%

8 0

2 years ago

Express the ratio as a fraction in simplest form. 18 : 12

Mashutka [201]

The answer is 9:1. All you have to do is simplify it

7 0

3 years ago

The lenngths of the sides of the triangle are in the extended ratio 8:9:10. The primeter of the triangle is 108 cm.What are the

hjlf

Answer:

Side known in ratio as 8: 32

Side known in ratio as 9: 36

Side known in ration as 10: 40

Step-by-step explanation:

We can add all the numbers in the ration to form the sum of all the sides, or also equal to perimeter. 8+9+10 equals 27.

So we can write 27x=108

x=4. Multiply 4 to 8, then 9, then 10. You get 32, 36, 40

Hope this helped, Have a Great Day!!

4 0

2 years ago

2 QUESTIONS 50 POINTS!!! Question 1: A car's odometer starts at 25 miles and for every 25 miles traveled, 1 gallon of gas is use

Arte-miy333 [17]

Answer:

1: is in fact graph 3 2: however I do not use a ray tool so sorry on that one brother

5 0

2 years ago

The number of keys Nicholas has if Luis has twice as many as Juanita, who has three fewer than Ahmed, who has three more than Ni

il63 [147K]

Answer:

7

Step-by-step explanation:

Nicholas: x

Luis: 2(7) = 14

Juanita: 10 - 3 = 7

Ahmed: 10

Ahmed - 3 keys = Nicholas

10 - 3 = x

x = 7

8 0

2 years ago