Mathematics, 30.11.2019 03:31 TabbyKun00

In a study of the accuracy of fast food drive-through orders, one restaurant had 32 orders that were not accurate among 367 orders observed. use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to 10%. does the accuracy rate appear to be acceptable?

identify the rest statistic for this hypothesis test. round to two decimal places.

identify the p-value for this hypothesis test. round to two decimal places.

identify the conclusion for this hypothesis tes.

does the accuracy rate appear to be acceptable?

Answers: 1

Show answers

Answers

Answer from: pnpampanoa

Null hypothesis: p=0.1

Alternative hypothesis: $p \neq 0.1$

$z=\frac{0.087 -0.1}{\sqrt{\frac{0.1(1-0.1)}{367}}}=-0.83$

p_v =2*P(z

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 orders that were not accurate is not significant different from 0.1 or 10% .

and the accuracy of the test yes is acceptable since the p value obtained is large enough to fail to reject the null hypothesis.

Step-by-step explanation:

Data given and notation n

n=367 represent the random sample taken

X=32 represent the orders that were not accurate

$\hat p=\frac{32}{367}=0.087$ estimated proportion of orders that were not accurate

p_o=0.1 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)

$p_v{/tex} represent the p value (variable of interest) Concepts and formulas to use We need to conduct a hypothesis in order to test the claim that the rate of inaccurate orders is equal to 10%: Null hypothesis:[tex]p=0.1$

Alternative hypothesis: $p \neq 0.1$

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:

$z=\frac{0.087 -0.1}{\sqrt{\frac{0.1(1-0.1)}{367}}}=-0.83$

Statistical decision

It's important to refresh the p value method or p value approach . "This methos 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 orders that were not accurate is not significant different from 0.1 or 10% .

Answer from: Quest

It is important because sometimes ur dna needs to multiply

Answer from: Quest

phosphate, calcium ion, chloride ion, neon atom

step-by-step explanation:

Ido not know what order to place them in

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 14:50, micky956

Apair of ordinary dice is rolled. what is the probability that each die will show a number higher than 4. 1. (1/36) 2. (1/12) 3. (1/6) 4. (1/4) 5. (1/3)

Answers: 2

continue

Mathematics, 21.06.2019 16:20, williamsgregg5214

Which mathematical statements are true? 1) if 3 is an odd number, then 3 times 3 is an even number. 2) if 6 is less than 7, then 4 is greater than 7. 3) six is divisible by 3, and 10 is a multiple of 2. 4) the average of the data is greater than the largest value in the data, or it’s less than the largest value in the data. 5) the slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value. 6) if an equilateral triangle has equal angles, then all its angles will measure 45°.

Answers: 3

continue

Mathematics, 21.06.2019 17:00, smelcher3900

The angle of a triangle are given as 6x,(x-3), and (3x+7). find x then find the measures of the angles

Answers: 2

continue

Mathematics, 21.06.2019 17:00, Niyah3406

When you are making a circle graph by hand, how do you convert a number for a part into its corresponding angle measure in the circle graph? when you are making a circle graph by hand, what should you do if one of your angle measures is greater than 180°?

Answers: 2

continue

You know the right answer?

In a study of the accuracy of fast food drive-through orders, one restaurant had 32 orders that were...