A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 57 nonprofit organizations, the mean one-time gift donation in the past year was $75, with a standard deviation of $20. a. If you test the null hypothesis at the 0.01 level of significance, is there evidence that the mean one-time gift donation is greater than $70? b. Interpret the meaning of the p-value in this problem. State the null and alternative hypotheses. Choose the correct answer below. A. H0:μ≤70 H1:μ=75 B. H0:μ≤70 H1:μ≠70 C. H0:μ=75 H1:μ>75 D. H0:μ≤70 H1:μ>70 E. H0:μ≠70 H1:μ≤70 F. H0:μ=75 H1:μ≠75 T-Stat=____ p-value=____ What is the conclusion for this test? A. Do not reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $70. B. Do not reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $70. C. Reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $70. D. Reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $70. Interpret the meaning of the p-value in this problem. Choose the correct answer below. Hint from Tim: select A below. A. The p-value is the probability that the population mean one-time gift donation is $70 given that the sample mean one-time gift donation is $75. B. The p-value is the probability that the population mean one-time gift donation is more than $70. C. The p-value is the probability that the population mean one-time gift donation is $75 or more. D. The p-value is the probability of getting a sample mean one-time gift donation of $75 or more, given that the population mean one-time gift donation is $70.

A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 57 nonprofit organizations, the mean one-time gift donation in the past year was $75, with a standard deviation of $20. a. If you test the null hypothesis at the 0.01 level of significance, is there evidence that the mean one-time gift donation is greater than $70? b. Interpret the meaning of the p-value in this problem. State the null and alternative hypotheses. Choose the correct answer below. A. H0:μ≤70 H1:μ=75 B. H0:μ≤70 H1:μ≠70 C. H0:μ=75 H1:μ>75 D. H0:μ≤70 H1:μ>70 E. H0:μ≠70 H1:μ≤70 F. H0:μ=75 H1:μ≠75 T-Stat= p-value= What is the conclusion for this test? A. Do not reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $70. B. Do not reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $70. C. Reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $70. D. Reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $70. Interpret the meaning of the p-value in this problem. Choose the correct answer below. Hint from Tim: select A below. A. The p-value is the probability that the population mean one-time gift donation is $70 given that the sample mean one-time gift donation is $75. B. The p-value is the probability that the population mean one-time gift donation is more than $70. C. The p-value is the probability that the population mean one-time gift donation is $75 or more. D. The p-value is the probability of getting a sample mean one-time gift donation of $75 or more, given that the population mean one-time gift donation is $70.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

a. If you test the null hypothesis at the 0.01 level of significance, is there evidence that the mean one-time gift donation is greater than

$70?

b. Interpret the meaning of the p-value in this problem.

State the null and alternative hypotheses. Choose the correct answer below.

A. H0:μ≤70

H1:μ=75

B. H0:μ≤70

H1:μ≠70

C. H0:μ=75

H1:μ>75

D. H0:μ≤70

H1:μ>70

E. H0:μ≠70

H1:μ≤70

F. H0:μ=75

H1:μ≠75

T-Stat=____

p-value=____

What is the conclusion for this test?

A. Do not reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than $70.

B. Do not reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $70.

C. Reject the null hypothesis. There is insufficient evidence that the mean one-time gift donation is greater than

$70.

D. Reject the null hypothesis. There is sufficient evidence that the mean one-time gift donation is greater than $70.

Interpret the meaning of the p-value in this problem. Choose the correct answer below. Hint from Tim: select A below.

A. The p-value is the probability that the population mean one-time gift donation is $70 given that the sample mean one-time gift donation is $75.

B. The p-value is the probability that the population mean one-time gift donation is more than $70.

C. The p-value is the probability that the population mean one-time gift donation is $75 or more.

D. The p-value is the probability of getting a sample mean one-time gift donation of $75 or more, given that the population mean one-time gift donation is $70.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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