Calculate S5 for the sequence defined by {an}={1+5/2n}<br><br> 13.5<br> 23<br> 40<br> 42.5

A TV station claims that 38% of the 6:00 - 7:00 pm viewing audience watches its evening news program. A consumer group believes

Elena L [17]

Answer:

$z=\frac{0.340 -0.38}{\sqrt{\frac{0.38(1-0.38)}{830}}}=-2.374$

$p_v =P(Z$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of people that regularly watch the TV station’s news program is significantly less than 0.38 .

Step-by-step explanation:

1) Data given and notation

n=830 represent the random sample taken

X=282 represent the people that regularly watch the TV station’s news program

$\hat p=\frac{282}{830}=0.340$ estimated proportion of people that regularly watch the TV station’s news program

$p_o=0.38$ 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)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion is less than 0.38:

Null hypothesis: $p\geq 0.38$

Alternative hypothesis: $p < 0.38$

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 $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.340 -0.38}{\sqrt{\frac{0.38(1-0.38)}{830}}}=-2.374$

4) 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 significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

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

$p_v =P(Z$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of people that regularly watch the TV station’s news program is significantly less than 0.38 .

3 0

3 years ago

Which graph represents the solution to this inequality? 16x - 80x < 37 + 27

AlladinOne [14]

Answer: 107

Step-by-step explanation:

1 Remove parentheses.

16x-80<2716x−80<27

2 Add 8080 to both sides.

16x<27+8016x<27+80

3 Simplify 27+8027+80 to 107107.

16x<10716x<107

4 Divide both sides by 1616.

x<\frac{107}{16}x<

16

107

Done

3 0

3 years ago

A piecewise function g(x) is defined by g(x)={x^3-4x for x<2, -log_4(x-1)+2 for x>=2

storchak [24]

The x-intercepts of the piecewise function are 1.59 and 17 and the intervals where g(x) is positive are (-2,0) and [2,17)

<h3>The graph of the function</h3>

The piecewise function is given as:

$g(x) = \left[\begin{array}{cc}x^3-4x &x < 2\\-\log_4(x - 1) + 2 &x \ge 2\end{array}\right$

See attachment for the graph of the piecewise function.

<h3>The x-intercepts of the piecewise function</h3>

This is the point where the piecewise function crosses the x-axis.

From the attached graph, the graph crosses the x-axis at x = -2, x = 0 and x = 17

Hence, the x-intercepts of the piecewise function are -2, 0 and 17

<h3>The intervals where g(x) is positive</h3>

This is the range of x value where g(x) > 0

From the attached graph, g(x)> 0 between x = -2 & x = 0 and between x = 2 (inclusive) & x = 17

Hence, the intervals where g(x) is positive are (-2,0) and [2,17)

Read more about piecewise function at:

brainly.com/question/11827078

#SPJ1

3 0

2 years ago

The freshmen competed with the sophomores to see who could raise the most money by recycling. The appropriate design for testing

brilliants [131]

Answer:

Independent-samples t-test.

Step-by-step explanation:

We are looking for the appropriate design for testing the significance of the difference between the means.

Now, there is a parametric test known as the Independent Samples t Test and what this test does is that it compares the mean of two independent groups in order to find out whether there is statistical evidence that the related population mean is significantly different.

Thus, the test to be used here is Independent-samples t-test.

8 0

3 years ago

What is the value of y?

777dan777 [17]

Answer:

i need a quetion to be able to answer

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

Calculate S5 for the sequence defined by {an}={1+5/2n} 13.5 23 40 42.5