Many fundraisers ask for donations using email and text messages. A paper describes an experiment to investigate whether the proportion of people who make a donation when asked for a donation by email is different from the proportion of people who make a donation when asked for a donation in a text message. In this experiment, 1.7% of those who received and opened an email request for a donation and 7.8% of those who received a text message asking for a donation actually made a donation. Assume that the people who received these requests were randomly assigned to one of the two groups (email or text message) and suppose that the given percentages are based on sample sizes of 2,000 (the actual sample sizes in the experiment were much larger). (Let p1 be the proportion who make a donation after receiving an email, and p2 be the proportion who make a donation after receiving a text message.) Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to two decimal places and your P-value to four decimal places.) z=P-value= State your conclusion. We fail to reject H0. We do not have convincing evidence that the proportion who make a donation is not the same for the two different methods.We reject H0. We do not have convincing evidence that the proportion who make a donation is not the same for the two different methods. We reject H0. We have convincing evidence that the proportion who make a donation is not the same for the two different methods.We fail to reject H0. We have convincing evidence that the proportion who make a donation is not the same for the two different methods. (c) Use a 90% confidence interval to estimate the difference in the proportions who donate for the two different treatments. (Use p1 − p2. Use a table or SALT. Round your answers to four decimal places.)

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Description: Many fundraisers ask for donations using email and text messages. A paper describes an experiment to investigate whether the proportion of people who make a donation when asked for a donation by email is different from the proportion of people who ma

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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Many fundraisers ask for donations using email and text messages. A paper describes an experiment to investigate whether the proportion of people who make a donation when asked for a donation by email is different from the proportion of people who make a donation when asked for a donation in a text message. In this experiment, 1.7% of those who received and opened an email request for a donation and 7.8% of those who received a text message asking for a donation actually made a donation. Assume that the people who received these requests were randomly assigned to one of the two groups (email or text message) and suppose that the given percentages are based on sample sizes of 2,000 (the actual sample sizes in the experiment were much larger). (Let p₁ be the proportion who make a donation after receiving an email, and p₂ be the proportion who make a donation after receiving a text message.)

Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to two decimal places and your P-value to four decimal places.)

z=P-value=

State your conclusion.

We fail to reject H₀. We do not have convincing evidence that the proportion who make a donation is not the same for the two different methods.We reject H₀. We do not have convincing evidence that the proportion who make a donation is not the same for the two different methods. We reject H₀. We have convincing evidence that the proportion who make a donation is not the same for the two different methods.We fail to reject H₀. We have convincing evidence that the proportion who make a donation is not the same for the two different methods.

(c)

Use a 90% confidence interval to estimate the difference in the proportions who donate for the two different treatments. (Use p₁ − p₂. Use a table or SALT. Round your answers to four decimal places.)

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