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a_sh-v [17]
3 years ago
5

A researcher is interested in determining if the more than two thirds of students would support making the Tuesday before Thanks

giving a holiday. The researcher asks 1,000 random selected students if they would support making the Tuesday before Thanksgiving a holiday. Seven hundred students said that they would support the extra holiday. What is the null and alternative hypothesis?
Mathematics
1 answer:
Yakvenalex [24]3 years ago
3 0

Answer:

The null hypothesis is, {H₀}: p = 0.66, H₀: p = 0.66 .

The alternative hypothesis is, {Hₐ}: p > 0.66, Hₐ​: p > 0.66

Step-by-step explanation:

Let p represent the proportion of students who are supportive of making the day before Thanksgiving a holiday.

Since two populations are considered, the alternative hypothesis for the difference of the means of the two populations has to be stated.

The proportion of two-third students are supportive of making the day before Thanksgiving a holiday is p = 0.66 obtained as shown below:

The null hypothesis is,

{H₀}:p = 0.66, H₀​: p = 0.66

The alternative hypothesis is,

{Hₐ:p > 0.66, Ha​: p > 0.66

The null hypothesis is, {H₀}: p = 0.66, H₀: p=0.66 .

The alternative hypothesis is, {Hₐ}: p > 0.66, Hₐ​: p > 0.66

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Sever21 [200]

Answer:

R=\$145.12

Step-by-step explanation:

<u>Compound Interest</u>

This is a well-know problem were we want to calculate the regular payment R needed to pay a principal P in n periods with a known rate of interest i.

The present value PV or the principal can be calculated with

P=F_a\cdot R

Solving for R

\displaystyle R=\frac{P}{F_a}

Where Fa is computed by

\displaystyle F_a=\frac{1-(1+i)^{-n}}{i}

We'll use the provided values but we need to convert them first to monthly payments

i=7\%=7/(12\cdot 100)=0.00583

n=3*12=36

\displaystyle F_a=\frac{1-(1+0.00583)^{-36}}{0.00583}

F_a=32.386

Thus, each payment is

\displaystyle R=\frac{4,700}{32.386}=145.12

\boxed{R=\$145.12}

4 0
3 years ago
What is the value of (9^7) ^3/14, in simplest terms? a0
s2008m [1.1K]

Answer:

27.

Step-by-step explanation:

It is one property of exponents that for any numbers <em>a, b,</em> and c

(a^b)^c=a^{bc}

Therefore, using this property the expression  (9^7) ^{3/14} becomes

(9^7) ^{3/14} =9^{(7*\frac{3}{14} )}.

and when when simplify the exponents, we get:

9^{(\frac{21}{14} )}= 9^{\frac{3}{2} }= (9^{\frac{1}{2} })^3.

Since for any number  a^\frac{1}{2} =\sqrt{a} <em>( </em>\dfrac{1}{2}<em> in the exponent means the square root) , </em>(9^{\frac{1}{2} })^3 is rewritten as

(\sqrt9} )^3

which simplifies to

(\sqrt9} )^3=3^3 =\bold{27}

Thus,

\boxed{ (9^7) ^{3/14}=27}

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Step-by-step explanation:

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