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Paha777 [63]
3 years ago
5

Liz wants to estimate the percentage of people who rent their home. She surveys 320 individuals and finds that 176 rent their ho

me. Find the margin of error for the confidence interval for the population proportion with a 98% confidence level.
Mathematics
1 answer:
SOVA2 [1]3 years ago
4 0

Answer: 0.065

Step-by-step explanation:

Given : Sample size : n= 320

The sample proportion of people who rent their home : p=\dfrac{176}{320}=0.55

Significance level : \alpha:1-0.98=0.02

Then , Critical value : z_{\alpha/2}=2.33

The formula to find the margin of error : -

E=z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\\Rightarrow\ E=(2.33)\sqrt{\dfrac{0.55(1-0.55)}{320}}\\\\\Rightarrow\ E=0.064799034281\approx0.065

Hence, the margin of error for the confidence interval for the population proportion with a 98% confidence level =0.065

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Follow the rules to create two number sequences that go to the fifth term each. Rule 1: Multiply by 2 starting at 10. Rule 2: Su
Aleksandr [31]

Answer:

Step-by-step explanation:

Created Sequences

S1: 10 20 40 80 150

s2:24 20

The first term that appears in both sequences is the second term. Both of them equal 20.

I don't think you have to go any further once you get the first term.

Method

S1: Multiply by 2 starting with 10.

10*2 = 20

20*2 = 40

S2: Start at 24 and subtract 4

24 - 4 = 20

20 - 4 = 16

16 - 4 =  12

3 0
2 years ago
The symbol ⊕ is used to denote exclusive or, so p ⊕ q ≡ (p v q) ^ ~ (p ^ q).
Elan Coil [88]

I'll use text forms of the logical symbols because copying/pasting on mobile is annoying.

⊕ = XOR

∨ = OR

∧ = AND

~ = NOT

↔ = IFF (meaning "if and only if")

→ = IMP (short for "implies")

and for logical equivalence I'll use a regular equal sign.

Then

p XOR q = (p OR q) AND NOT (p AND q)

(a) By definition of XOR, we have

p XOR p = (p OR p) AND NOT (p AND p)

= p AND NOT p

and this is tautologically FALSE.

(b) To rewrite XOR, first distribute the NOT over the AND using DeMorgan's law:

NOT (p AND q) = NOT p OR NOT q

Then we can interchange the AND and ORs using their respective distributive properties. That is,

p XOR q = (p OR q) AND (NOT p OR NOT q)

= (p AND (NOT p OR NOT q)) OR (q AND (NOT p OR NOT q))

= ((p AND NOT p) OR (p AND NOT q)) OR ((q AND NOT p) OR (q AND NOT q))

Both (p AND NOT p) and (q AND NOT q) are tautologically FALSE, so the truth value of either OR depends only on the other statements, so we have

p XOR q = (p AND NOT q) OR (q AND NOT p)

Recall the definition of IFF:

p IFF q = (p IMP q) AND (q IMP p)

Also recall that IMP is logically equivalent to

p IMP q = p OR NOT q

Then we have

p IFF q = (p OR NOT q) AND (q OR NOT p)

so that its negation is

NOT (p IFF q) = NOT ((p OR NOT q) AND (q OR NOT p))

= NOT (p OR NOT q) OR NOT (q OR NOT p)

= (NOT p AND q) OR (NOT q AND p)

The statements in bold match, so p XOR q is indeed equivalent to NOT (p IFF q).

3 0
3 years ago
Find the length of the side of a square whose area is 2500 sq. cm PLS FIND ITS ANSWER............................
Sunny_sXe [5.5K]

Answer:

50cm

Step-by-step explanation:

The length of the square is the sway are root of its area.

square root of 2500 Is 50cm

Hope this helps.

Good Luck

4 0
3 years ago
Read 2 more answers
81+7x=81 what does x equal?
cupoosta [38]
So to start off here is the question being asked:
<span>81+<span>7x</span></span>=<span>81
</span>The first thing we are going to do is s<span>implify both sides of the equation:
</span><span><span>7x</span>+81</span>=<span>81
</span>Second thing to do is s<span>ubtract 81 from both sides so:
</span><span><span><span>7x</span>+81</span>−81</span>=<span>81−<span>81
</span></span>The final thing to do is d<span>ivide both sides by 7:
</span><span><span>7x/</span>7</span>=<span>0/<span>7
The final answer is:
x=0

I hope this helps! :)</span></span>
5 0
3 years ago
Read 2 more answers
Gus is making 48 oz of spiced cider. If he serves an equal amount to 7 people will each person get more than 1 cup of cider or l
Elena-2011 [213]
Less than 1 cup because 48 divided by 7 equals 6.85
5 0
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