Please help with this question, thank you.

Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that th

lisov135 [29]

Answer:

$z=\frac{0.462 -0.35}{\sqrt{\frac{0.35(1-0.35)}{78}}}=2.074$

Now we can calculate the p value with this probability:

$p_v =P(z>2.074)=0.019$

If we use a significance level os 0.05 we see that the p value is lower than the significance level so then we can conclude that the true proportion of students with jobs is higher than 0.35 for this case. If we decrease the significance level to 1% the result changes otherwise not.

Step-by-step explanation:

Information given

n=78 represent the random sample taken

X=36 represent the students with jobs

$\hat p=\frac{36}{78}=0.462$ estimated proportion of students with jobs

$p_o=0.35$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the proportion of students with jobs is higher than 0.35, the system of hypothesis are:

Null hypothesis: $p \leq 0.35$

Alternative hypothesis: $p > 0.35$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info we got:

$z=\frac{0.462 -0.35}{\sqrt{\frac{0.35(1-0.35)}{78}}}=2.074$

Now we can calculate the p value with this probability:

$p_v =P(z>2.074)=0.019$

If we use a significance level os 0.05 we see that the p value is lower than the significance level so then we can conclude that the true proportion of students with jobs is higher than 0.35 for this case. If we decrease the significance level to 1% the result changes otherwise not.

5 0

4 years ago

Solve for x 3x-3>x+7

Sever21 [200]

Answer:

x>5

Step-by-step explanation:

6 0

3 years ago

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $4995 to rent

KIM [24]

Construct an equation in which s is the number of tons of sugar to be transported 4500 + 150.25s = 3696 + 200.5s Solve for s 4500 - 3696 = 200.5s - 150.25s 804 = 50.25s s = 804/50.25 = 16 tons of sugar The cost is found by plugging this value into either side of the original equation; it is $6904.

3 0

3 years ago

The coldest temperature ever recorded in Mathville was -18°F. This happened on January 30th, 1977. The normal low for that day i

nikklg [1K]

I think that it is 40°F, but I could be wrong.

8 0

3 years ago

Read 2 more answers

there are 340 identical plastic chips numbered 1 through 340 in a box. What is the probability of reaching into the box and rand

Lunna [17]

Explanation:

There are 340 identical plastic chips numbered 1 through 340 in a box. Then, the total number of possible outcomes is equal to 340.

Now, let E be the event of getting randomly drawing a chip number that is smaller than 217. Then, the favorable outcomes are:

1, 2, 3, ..............,216

Thus, the number of favorable outcomes is equal to 216.

According to the definition of Probability, we get the following expression to find the probability of reaching into the box and randomly drawing a chip number that is smaller than 217:

$P(E)=\frac{number\text{ of favorable outcomes}}{number\text{ of possible outcomes}}=\frac{216}{340}=\frac{54}{85}$

we can conclude that the correct answer is:

Answer: $\frac{54}{85}$

4 0

1 year ago