Which of the following is a property of set?

Results from previous studies showed 76% of all high school seniors from a certain city plan to attend college after graduation.

Degger [83]

Answer:

Yes, this indicate that the percentage has increased from that of previous studies.

Step-by-step explanation:

We are given that Results from previous studies showed 76% of all high school seniors from a certain city plan to attend college after graduation.

A random sample of 200 high school seniors from this city reveals that 162 plan to attend college.

Let p = % of all high school seniors from a certain city who plan to attend college after graduation

SO, Null Hypothesis, $H_0$ : p $\leq$ 76% {means that the percentage has not increased from that of previous studies}

Alternate Hypothesis, $H_a$ : p > 76% {means that the percentage has increased from that of previous studies}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of high school seniors from this city who

plan to attend college = $\frac{162}{200}$ = 0.81

n = sample of high school seniors = 200

So, test statistics = $\frac{0.81-0.76}{{\sqrt{\frac{0.81(1-0.81)}{200} } } } }$

= 1.8025

Now at 5% significance level, the z table gives critical value of 1.6449 for right-tailed test. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the percentage has increased from that of previous studies.

4 0

2 years ago

What are the solutions to the equation y = 4x2 + 50 – 6?

krok68 [10]

Y=52
first do 4x2 which is 8 plus 50 is 58 minus 6 is 52.

8 0

2 years ago

Read 2 more answers

Rachel wants to use the Distributive Property to rewrite 72 + 45. Which expression could she use?

kiruha [24]

72 and 45 can both be divided by 3.

So,

72 + 45

= 3 (24 + 15)

6 0

2 years ago

2 balls are rolling towards each other from the opposite ends of a straight tube that is

suter [353]

Answer:

6 seconds

Step-by-step explanation:

In second 1, the distance that separates them is 80 cm

Then, in second 2, it is an additional 76 cm which is 156

then 72, etc. etc.

From that, we can continue adding until we the total sum is 420.

80+76+72+68+64+60=420

That's 6 seconds

Not the most elegant solution but I think one of the simplest.

8 0

2 years ago

Read 2 more answers

on a coordinate grid, her house is located at (1,2) and the park at (5,5) what is the shortest distance from her house to the pa

nadya68 [22]

To solve, use the distance formula: $d= \sqrt{(x_1+x_2)^2+(y_1+y_2)^2}$ . Using your values of x and y, you get $d= \sqrt{(1+5)^2+(2+5)^2} = \sqrt{6^2+7^2} = \sqrt{36+49} = \sqrt{85}$ , which is approximately 9.22. This means your shortest distance is √85≈9.22

3 0

2 years ago