Jane is helping the librarian stack books on some new shelves. She is to stack 116 books on 16 shelves. The librarian told her t
1 answer:
Answer: The number of books she should put on each shelf = 7
Step-by-step explanation:
Given: Total books = 116
Total shelves = 16
To determine : The number of books she should put on each shelf, we first divides the total number of books by the total shelf.
So she can put 7 books in each shelf such that (7x16=) 112 books got placed and (116-112=)4 books left.
Hence, The number of books she should put on each shelf = 7.
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Answer:
a-1) Reject H0 if zcalc > 1.645
a-2)
a-3) ii. False
b) ii. No
c) iii. n π > 10 and n(1 − π ) > 10
Step-by-step explanation:
1) Data given and notation
n=114 represent the random sample taken
X=36 represent the people that were issued to a single-earner family or individual
estimated proportion of people that were issued to a single-earner family or individual
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
(a-1) H0: π ≤ .28 versus H1: π > .28. Choose the right option. Reject H0 if zcalc > 1.645 Reject H0 if zcalc < 1.645 a b
We need to conduct a hypothesis in order to test the claim that the true proportion is less than 0.28.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
The rejection zone would be on this case :
Reject H0 if zcalc > 1.645
Since is a right tailed test
(a-2) Calculate the test statistic. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.) Test statistic
Since we have all the info requires we can replace in formula (1) like this:
(a-3) The null hypothesis should be rejected.
False, since our calculated value is less than our critical value we Fails to reject the null hypothesis
(b) Is this a close decision?
False the calculated value is significantly less than the critical value so we FAIL to reject the null hypothesis with enough confidence.
(c) State any assumptions that are required.
In order to satisfy the conditions we need the following two requirements:
iii. n π > 10 and n(1 − π ) > 10
And are satisfied:
114*0.28=31.92>10
114(1-0.28)=82,08>10