2c - 3b when<br> C = 8 and b = 3.5

A buyer went to the market to buy strawberries. He purchased 120 randomly selected strawberries from a vendor who claimed that n

mafiozo [28]

Answer:

$z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10$

$p_v =P(z>2.10)=0.018$

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

Step-by-step explanation:

Data given and notation

n=120 represent the random sample taken

X=40 represent the number of strawberries damaged

$\hat p=\frac{40}{120}=0.333$ estimated proportion of strawberries damaged

$p_o=0.25$ is the value that we want to test

$\alpha$ represent the significance level

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 no more than 25% of his total harvest of strawberries was damaged.:

Null hypothesis: $p\leq 0.25$

Alternative hypothesis: $p > 0.25$

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:

$z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10$

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 next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>2.10)=0.018$

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

6 0

3 years ago

How do I round 2.327 to the nearest tenth??

NikAS [45]

$2.327\approx2.3$

5 0

3 years ago

Read 2 more answers

Use the information given to answer the question.

drek231 [11]

The two inequalities that represents the constraints for the art studio classes per week are:

x + 1.5y = 40

35(x + y) > 1,000

<h3>What two inequalities represent the constraints?</h3>

Here are inequalities signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

= means equal to

The inequality that represents the total hoursthe art studio is open would be an equal to sign. This is because the store is open for a maximum of 40 hours.

The inequality that represents the total earnings would be represented with a greater than sign because the studio earns more than $1000 weekly.

To learn more about inequality, please check: brainly.com/question/5031619

6 0

3 years ago

I need help on this please

Anastaziya [24]

Answer:

y=7/1x+26

Step-by-step explanation:

I didnt fully understand what the questions was asking. all I got from it was slope-intercept and even then it didn't make sense so I created the equation that goes throw those 2 points and added the y intercept to it.

hope this somehow helped...

6 0

2 years ago

What’s the answer for #5 everyone keeps putting different answers

Andru [333]

I think the answer is 142

3 0

4 years ago

2c - 3b when C = 8 and b = 3.5