only need help with the questions in the second picture attached. Find the test statistic and P-value.Round your test statistic to two decimal places and your P-value to four decimal places.)z =p-value =State your conclusion.O we reject Ho: We have convincing evidence that the proportion who make a donation is not the same for the two different methods.O we fail to reject H,. We do not have convincing evidence that the proportion who make a donation is not the same for the two different methods.O we fail to reject H,. We have convincing evidence that the proportion who make a donation is not the same for the two different methods.O we reject H.. We do not 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 p, - p,. Use a table or SALT. Round your answers tofour decimal places.) 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 adonation 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, 1.6% of those who received and openedan 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 wererandomly 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 experimentwere much larger). (Let p, be the proportion who make a donation after receiving an email, and p, be the proportion who makedonation after receiving a text message.)(a) The study described is an experiment with two treatments. What are the two treatments? (Select all that apply.)O donations using emailO deadlinesO charitable givingO donations using text messageO fundraisers(b) Is there convincing evidence that the proportion who make a donation is not the same for the two different methods? Carry out a hypothesis test using a significance level of 0.05.State the appropriate null and alternative hypotheses.O Ho: P1- P2 = 0Ha: P1 - P2 <0O Ho: P1 - P2 = 0H3: P1 - P2 * 0O Ho: P1 - P2 > 0Hai P1- P2 < 0O Ho: P1 - P2 = 0H3: P1 - P2 > 0

Name: only need help with the questions in the second picture attached. Find
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Description: only need help with the questions in the second picture attached. Find the test statistic and P-value.Round your test statistic to two decimal places and your P-value to four decimal places.)z =p-value =State your conclusion.O we reject Ho: We have c

Given: p^1=sample proportion who make a donation after receiving an email =0.016p^2=sample proportion who make a donation after receiving a text message=0.078n1= Sample size of 1st population = 2000n2=Sample size of 2nd population = 2000 a) The two treatments are donations using email and donations using text message. b) H0:p1-p2=0H0:p1-p2≠0b) The overall sample proportion, p^=0.0162000+0.07820002000+2000=1884000=0.047 The test statistic is p^1-p^2-p1-p2p^1-p^n1+p^1-p^n2=0.016-0.078-00.047×0.9532000+0.047×0.9532000=-9.26 The p-value is PZ<-9.26=0 Since the p-value is less than 0.025 (at 5% significance level for a two tailed test), Reject H0. So, there is sufficient evidence to conclude that the proportion who make donation by these two modes is not the same. Hence option A is correct. d) Standard error of 1st population p is 0.0161-0.0162000=0.0028057 Standard error of 2nd population p is 0.0781-0.0782000=0.0059965 Combined standard error of the difference of population p =.00280572+.00599652=0.00662 Confidence interval is p^1-p^2±zα2Standard error At 90%, zα2=1.64485 Confidence interval is 0.016-0.078±1.644850.00662=-0.0729 to -0.0511

Math

Statistics

Find the test statistic and P-value. Round your test statistic to twó decimal plačes and your P-value to four decimal places.) P-value = State your conclusion. O we reject H. We have convincing evidence that the proportion who make a donation is not the same for the two different methods. O we fail to reject Ha. We do not have convincing evidence that the proportion who make a donation is not the same for the two different methods. O we fail to reject Ha. We have convincing evidence that the proportion who make a donation is not the same for the two different methods. O we reject Ha. We do not 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 p, - P2. Use a table or SALT. Round your answers to four decimal places.)

Find the test statistic and P-value. Round your test statistic to twó decimal plačes and your P-value to four decimal places.) P-value = State your conclusion. O we reject H. We have convincing evidence that the proportion who make a donation is not the same for the two different methods. O we fail to reject Ha. We do not have convincing evidence that the proportion who make a donation is not the same for the two different methods. O we fail to reject Ha. We have convincing evidence that the proportion who make a donation is not the same for the two different methods. O we reject Ha. We do not 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 p, - P2. Use a table or SALT. Round your answers to four decimal places.)

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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Concept explainers

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

Topic Video

Question

only need help with the questions in the second picture attached.

Find the test statistic and P-value.
Round your test statistic to two decimal places and your P-value to four decimal places.)
z =
p-value =
State your conclusion.
O we reject Ho: We have convincing evidence that the proportion who make a donation is not the same for the two different methods.
O we fail to reject H,. We do not have convincing evidence that the proportion who make a donation is not the same for the two different methods.
O we fail to reject H,. We have convincing evidence that the proportion who make a donation is not the same for the two different methods.
O we reject H.. We do not 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 p, - p,. Use a table or SALT. Round your answers to
four decimal places.)

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, 1.6% 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 p, be the proportion who make a donation after receiving an email, and p, be the proportion who make
donation after receiving a text message.)
(a) The study described is an experiment with two treatments. What are the two treatments? (Select all that apply.)
O donations using email
O deadlines
O charitable giving
O donations using text message
O fundraisers
(b) Is there convincing evidence that the proportion who make a donation is not the same for the two different methods? Carry out a hypothesis test using a significance level of 0.05.
State the appropriate null and alternative hypotheses.
O Ho: P1- P2 = 0
Ha: P1 - P2 <0
O Ho: P1 - P2 = 0
H3: P1 - P2 * 0
O Ho: P1 - P2 > 0
Hai P1- P2 < 0
O Ho: P1 - P2 = 0
H3: P1 - P2 > 0

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