A popular charity used 29% of its donations on expenses. An organizer for a rival charity wanted to quickly provide a donor with evidence that the popular charity has expenses that are higher than other similar charities. The organizer randomly selected 20 similar charities and examined their donations. The charity conducts a one-mean hypothesis at the 5% significance level, to test whether the mean is less than 29%. (a) Which answer choice shows the correct null and alternative hypotheses for this test.
H0:μ=0.29; Ha:μ<0.29, which is a left-tailed test.
(b) The percentages of the donations that those 20 charities spend on expenses are given below.
Use Excel to test whether the mean is less than 29%. Identify the test statistic, t, rounding to two decimal places, and p-value, rounding to three decimal places from the Excel output.
21
9
24
14
25
31
23
37
19
25
31
20
41
32
26
32
27
35
5
25
Test Statistic= P-value=

Step-by-step explanation:

Given data

significance level = 0.05

we will reject H0:u=0.29 ( null hypothesis )

This is because at 5% percent significance level the data gotten using excel

i.e. Test statistic = -1.94  and P-value = 0.034 it is evident that the charity used less than 29% of its donations for its expenses.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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