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miv72 [106K]
3 years ago
14

A poll of 1,068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At t

he 0.01 level of significance, test the claim that at least half of all voters prefer the Democrat.
State the Test Statistics.
Mathematics
1 answer:
Alik [6]3 years ago
7 0

Answer: We will not accept the null hypothesis.

Step-by-step explanation:

Since we have given that

sample size n = 1068

\hat{p} = 48% = 0.48

At 0.01 level of significance, z = - 2.58

Hypothesis are:

H_0:p=0.5\\\\H_a:p\neq 0.5

So, test statistic value would be:

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.48-0.50}{\sqrt{\dfrac{0.5\times 0.5}{1068}}}\\\\z=\dfrac{-0.02}{0.0152}\\\\z=-1.315

So, test statistic > critical value.

Hence, we will not accept the null hypothesis.

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Find the missing angle.
hammer [34]

Answer:

Linear pair angle of 40 is

=180-40

=140

If, the two rays are parallel

Therefore, the two rays are parallel and the straight line is transversal

Therefore, (?) angle =140 corrosponding angle

Your answer is 140

4 0
2 years ago
g A shopping center includes a grocery store and a drug store. One%E2%80%8B afternoon, a total of 200 people visited the shoppin
QveST [7]

Answer:

a) 179 people shopped at the grocery store or the drug store.

b) 21 people shopped at neither the grocery store nor the drug store

Step-by-step explanation:

I am going to treat these events as Venn sets.

I am going to say that:

Set A: Shopped at the grocery store

Set B: Shoped at the drug store.

121 shopped at the grocery store:

This means that A = 121

91 shopped at the drug store:

This means that B = 91

33 shopped at both businesses.

This means that A \cap B = 33

a) How many people shopped at the grocery store or the drug store?

This is

A \cup B = A + B - (A \cap B)

With the values given in the exercise.

A \cup B = A + B - (A \cap B) = 121 + 91 - 33 = 179

179 people shopped at the grocery store or the drug store.

b) How many people shopped at neither the grocery store nor the drug store?

179 of 200 shopped in at least one. So 200 - 179 = 21 shopped at neither.

21 people shopped at neither the grocery store nor the drug store

8 0
2 years ago
The figure shows a map of five streets that meet at Concord Circle. The measure of the angle formed by Melville Road and Emerson
DiKsa [7]
Do you have a picture?
4 0
3 years ago
Read 2 more answers
1. The Cajun Heartland State Fair charges $1.25 per ticket for the rides. Johnny bought 25 tickets for the rides and spent a tot
vladimir1956 [14]

<u>Part (a)</u>

The variable y is the dependent variable and the variable x is the independent variable.

<u>Part (b)</u>

The cost of one ticket is $1.25. Therefore, the cost of 25 tickets will be: .

Now, we know that Johnny spent his money only on ride tickets and fair admission and that he spent a total of $43.75.

Therefore, the price of the fair admission is: $43.75-$31.25=$12.5

If we use y to represent the total cost and x to represent the number of ride tickets, the linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission can be  written as:

y=1.25x+12.5......Equation 1

<u>Part (c)</u>

The above equation is logical because, in general, the total cost of the rides will depend upon the number of ride tickets bought and that will be 1.25x. Now, even if one does not take any rides, that is when x=0, they still will have to pay for the fair admission, and thus their total cost, y=$12.5.

Likewise, any "additional" cost will depend upon the number of ride tickets bought as already suggested. Thus, the total cost will be the sum of the total ride ticket cost and the fixed fair admission cost. Thus, the above Equation 1 is the correct representative linear equation of the question given.

7 0
3 years ago
Bill wants to see how many times he needs to roll a standard number cube before getting a 5. What is the probability that Bill w
chubhunter [2.5K]
5/6 • 5/6 • 1/6 = 25/216 the answer is b
5 0
3 years ago
Read 2 more answers
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