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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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3. Suppose that you draw two cards from a standard 52 card deck. You replace the first card and shuffle thoroughly before you dr
Kruka [31]

Answer:

\text{a)} \frac{1}{17} \text{b)} \frac{1}{221}\text{c)}\frac{12}{13}\text{d)}\frac{188}{221}

Step-by-step explanation:

GIVEN: You draw two cards from a standard 52 card deck. You replace the first card and shuffle thoroughly before you draw the second.

TO FIND: a) What is the probability that the first card is 7 b) What is the probability that both cards are

SOLUTION:

Let \text{A} and \text{B} be two events such that

\text{A}=\text{first card drawn is 7}

\text{B}=\text{Second card is 7}

\text{probability that first card is 7 =P(A)}

<h3> \text{P(A)}=\frac{\text{total 7 numbered cards}}{\text{total cards in deck}}</h3><h3> \text{P(A)}= \frac{4}{52}=\frac{1}{13}</h3>

a)

      \text{probability that first card is 7 =P(A)}

<h3>      \text{P(A)}=\frac{1}{13} </h3>

b)

     \text{probability that both cards are 7}=\text{first card is 7}\times\text{second card is 7}

     \text{probability that both cards are 7}=\text{P(A).P(B)}

     \text{P(B)}=\frac{\text{total number of 7 numbered cards left}}{\text{total number of cards in deck left}}

     \text{P(B)}=\frac{3}{51}=\frac{1}{17}    

     \text{probability that both cards are 7}=\frac{1}{13}\times\frac{1}{17}

     \text{probability that both cards are 7}=\frac{1}{221}

c)

    \text{probability that first card is not 7}=1-\text{probability that first card is 7}

    \text{probability that first card is not 7}=1-\text{P(A)}

    \text{probability that first card is not 7}=1-\frac{1}{13}

    \text{probability that first card is not 7}=\frac{12}{13}

d)

 \text{probability that both cards are not 7}=(\text{first card is not 7}).(\text{second card is not 7})

    \text{probability that both cards are not 7}=\text{[1-P(A)].[1-P(B)]}

    \text{P(B)}=\frac{\text{total 7 numbered cards}}{\text{total cards left in deck}}

    \text{probability that both cards are not 7}=(1-\frac{1}{13})\times(1-\frac{4}{51})

    \text{probability that both cards are not 7}=\frac{12}{13}\times\frac{47}{51}

 

     

8 0
3 years ago
What is the value of 3ab+5b-6 when a =-1 and b=3
adelina 88 [10]

Answer:

3ab+5b-6 = 0

Step-by-step explanation:

3ab+5b-6

a =-1 and b=3

Solve :

3ab+5b-6

= 3(-1)(3) + 5(3) - 6

= -9 + 15 - 6

= 0

3 0
3 years ago
Read 2 more answers
PLS HELP ASAP, ILL MARK BRAINLIEST IF ITS A REAL ANSWER. LOOK AT THE PICTURE !
lozanna [386]

Answer:

No

Step-by-step explanation:

No because if it's 20,000 on 1 it should be 40,000 on 2 but its not so its not proportional

7 0
3 years ago
What is 52,566 times 98,173
brilliants [131]

Answer:

5160561918

Step-by-step explanation:

52566 x 98173 = 5160561918

7 0
4 years ago
Read 2 more answers
Please help<br> thank you again
guajiro [1.7K]

<em><u>Answer:</u></em>

True

<em><u>Step-by-step explanation:</u></em>

So, again, from the most right column, we can add 5, -6, and -2 to get -3. We now know that every row or column must be equal to -3.

The question is asking if the number square below is -3. We found out from above that is -3 so it's true.

3 0
3 years ago
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