Mr. Lew recorded the average length, in minutes, of phone calls received at work. He recorded the data in the box plots below.

For a test of population proportion H0: p = 0.50, the z test statistic equals 1.05. Use 3 decimal places. (a) What is the p-valu

sergiy2304 [10]

Answer:

(a) The p-value of the test statistic is 0.147.

(b) The p-value of the test statistic is 0.294.

(c) The p-value of the test statistic is 0.8531.

(d) None of the p-values give strong evidence against the null hypothesis.

Step-by-step explanation:

The p-value is well defined as the probability,[under the null hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.

We reject a hypothesis if the p-value of a statistic is lower than the level of significance α.

The null hypothesis for the test of population proportion is defined as:

H₀: p = 0.50

The value of z-test statistic is,

z = 1.05

(a)

The alternate hypothesis is defined as:

Hₐ: p > 0.50

Compute the p-value of the test statistic as follows:

$p-value=P(Z>1.05)\\=1-P(Z$

*Use a z-table for the probability value.

Thus, the p-value of the test statistic is 0.147.

(b)

The alternate hypothesis is defined as:

Hₐ: p ≠ 0.50

Compute the p-value of the test statistic as follows:

$p-value=2\times P(Z>1.05)\\=2\times 0.1469\\=0.2938\\\approx 0.294$

*Use a z-table for the probability value.

Thus, the p-value of the test statistic is 0.294.

(c)

The alternate hypothesis is defined as:

Hₐ: p < 0.50

Compute the p-value of the test statistic as follows:

$p-value= P(Z1.05)=1- 0.1469\\=0.8531$

*Use a z-table for the probability value.

Thus, the p-value of the test statistic is 0.8531.

(d)

The decision rule of the test is:

If the p-value of the test is less than the significance level α, then the null hypothesis is rejected at α% level of significance.

And if the p-value of the test is more than the significance level α, then the null hypothesis is failed to be rejected.

The most commonly used level of significance are:

α = 0.01, 0.05 and 0.10

The p-value for all the three alternate hypothesis are:

p-values = 0.147, 0.294 and 0.8531.

All the p-values are quite large compared to the α values.

Thus, none of the p-values give strong evidence against the null hypothesis.

The null hypothesis was failed to be rejected.

5 0

3 years ago

Question 1

xeze [42]

Step-by-step explanation:

Graphs of Exponential Functions

The graph passes through the point (0,1)

The domain is all real numbers.

The range is y>0.

The graph is increasing.

The graph is asymptotic to the x-axis as x approaches negative infinity.

The graph increases without bound as x approaches positive infinity.

The graph is continuous.

6 0

3 years ago

Read 2 more answers

The intersection of plane R and plane P is

Paraphin [41]

Answer: Line DB

Think of the two planes as pages in a book. They are joined by the spine, which is where the two planes intersect. In this case, that intersection is the line DB.

Point D is on both planes R and S. So is point B. Every point on line DB is found on both planes.

4 0

4 years ago

Please i need help. Thank you!

Assoli18 [71]

The answer is C i think

5 0

3 years ago

Gavin is building a model of the kitchen in the model of the floor tiles are withe 1/2 of the floor tiles are yellow and 1/10 of

jolli1 [7]

2/5= 4 tiles
1/10= 1 tile
1/2= 5 tiles
Add them up and there is your answer: 10

*HOPE I HELPED!*

7 0

3 years ago