need C and D please Does the average Presbyterian donate less than the average Catholic in church on Sundays? The 44randomly observed members of the Presbyterian church donated an average of $27 with a standarddeviation of $6. The 57 randomly observed members of the Catholic church donated an average of $30 witha standard deviation of $15. What can be concluded at the a= 0.01 level of significance?a. For this study, we should use [t-test for the difference between two independent population meansHo: 18Bqb. The null and alternative hypotheses would be:H₁: μ1q qqc. The test statistic Vd. The p-value =e. The p-value is > ✓ α=µ2f. Based on this, we should fail to rejectµ2(please enter a decimal)(Please enter a decimal)(please show your answer to 3 decimal places.)(Please show your answer to 4 decimal places.)the null hypothesis.

Answered: c. The test statistic Or d. The p-value…

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

need C and D please

Does the average Presbyterian donate less than the average Catholic in church on Sundays? The 44
randomly observed members of the Presbyterian church donated an average of $27 with a standard
deviation of $6. The 57 randomly observed members of the Catholic church donated an average of $30 with
a standard deviation of $15. What can be concluded at the a= 0.01 level of significance?
a. For this study, we should use [t-test for the difference between two independent population means
Ho: 1
8
B
q
b. The null and alternative hypotheses would be:
H₁: μ1
q q
q
c. The test statistic V
d. The p-value =
e. The p-value is > ✓ α
=
µ2
f. Based on this, we should fail to reject
µ2
(please enter a decimal)
(Please enter a decimal)
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
the null hypothesis.

Expert Solution

Step 1: Determine the given data in the question

Let $mu subscript 1 space a n d space mu subscript 2$ be the two population means of Presbyterian donate and Catholic in church on Sunday.

Given that,

$F o r space P r e s b y t e r i a n comma n subscript 1 equals 44 x with bar on top subscript 1 equals 27 s subscript 1 equals 6 F o r space C a t h o l i c comma n subscript 2 equals 57 x with bar on top subscript 2 equals 30 s subscript 2 equals 15$

Assume the level of significance $left parenthesis alpha right parenthesis equals 0.01$