I need to know the answer to a,b,c,and d

Question 10 (5 points)

dimaraw [331]

Answer:

1. C 2. D

Step-by-step explanation:

8 0

3 years ago

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

polet [3.4K]

Answer:

It can be concluded that the proportion of the population in favor of candidate A is significantly less than or equal to 75%.

Step-by-step explanation:

We are given that a random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A.

We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%.

Let p = proportion of the population in favor of Candidate A

SO, Null Hypothesis, $H_0$ : p $\leq$ 75% {means that proportion of the population in favor of Candidate A is significantly less than or equal to 75%}

Alternate Hypothesis, $H_a$ : p > 75% {means that proportion of the population in favor of Candidate A is significantly more than 75%}

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, $\hat p$ = proportion of the people who favor Candidate A in a sample of

100 people = $\frac{80}{100}$ = 0.80

n = sample of people = 100

So, test statistics = $\frac{0.80-0.75}{\sqrt{\frac{0.80 (1-0.80)}{100} } }$

= 1.25

Now, at 0.05 level of significance, the z table gives critical value of 1.6449. Since our test statistics is less than the critical value of z so we have insufficient evidence to reject null hypothesis as it will not fall in the rejection region.

Therefore, at a 0.05 level of significance, it can be concluded that the proportion of the population in favor of candidate A is significantly less than or equal to 75%.

8 0

4 years ago

The city of Houston received 8 more inches of rain than the town of Groesbeck. Which algebraic expression represents the amount

Ivahew [28]

Answer:

8-i=g

Step-by-step explanation:

g= amount of rain Groesbeck gout

i = inches of rain

8 0

3 years ago

Read 2 more answers

The graph 4x^2-4x-1 is shown. Use the grpah to find the estimates for the solutions of 4x^2-4x-1=0 and 4x^2 - 4x-1=2

Darina [25.2K]

Answer:

a) The estimates for the solutions of $4\cdot x^{2}-4\cdot x -1 = 0$ are $x_{1}\approx -0.25$ and $x_{2} \approx 1.25$ .

b) The estimates for the solutions of $4\cdot x^{2}-4\cdot x -1 = 2$ are $x_{1}\approx -0.5$ and $x_{2} \approx 1.5$

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial $y = 4\cdot x^{2}-4\cdot x -1$ , where $x$ is related to the horizontal axis of the Cartesian plane, whereas $y$ is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case: