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Ghella [55]
2 years ago
15

A healthcare provider saw that 48%percent of their members received their flu shot in recent years. The healthcare provider trie

d a new advertising strategy in the following year, and they took a sample of members to test if the proportion who received their flu shot had changed.
A) The null and alternative hypotheses are?
Mathematics
1 answer:
svetoff [14.1K]2 years ago
6 0

Answer:

Null hypothesis: The percentage of the members of the healthcare provider who received their flu shot is 48%

Alternate hypothesis: The percentage of the members of the healthcare provider who received their flu shot is not equal to 48%

Step-by-step explanation:

A null hypothesis is a statement from the population parameter which is rejected or accepted (fail to reject) upon testing.

An alternate hypothesis is also a statement from the population parameter which negates the null hypothesis and is accepted if the null hypothesis is proven false.

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son4ous [18]
There is a relationship between confidence interval and standard deviation:
\theta=\overline{x} \pm \frac{z\sigma}{\sqrt{n}}
Where \overline{x} is the mean, \sigma is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first: 
\sigma=\sqrt{\frac{\sum(x-\overline{x})^2}{n}
When we do all the calculations we find that:
\overline{x}=123.8\\ \sigma=11.84
Now we can find confidence intervals:
($90\%,z=1.645): \theta=123.8 \pm \frac{1.645\cdot 11.84}{\sqrt{15}}=123.8 \pm5.0\\($95\%,z=1.960): \theta=123.8 \pm \frac{1.960\cdot 11.84}{\sqrt{15}}=123.8 \pm 5.99\\ ($99\%,z=2.576): \theta=123.8 \pm \frac{2.576\cdot 11.84}{\sqrt{15}}=123.8 \pm 7.87\\
We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing
6 0
2 years ago
Mr. Gonzales has only $42.50 to spend at a clothing store. He wants to buy a shirt that costs $29, including tax, and some brace
lisabon 2012 [21]

Answer: The equation is $29 + x*$4.50 = $42.50, and the solution is x = 3

Step-by-step explanation:

The data we have is:

Gonzales has $42.50

He wants to buy:

a shirt that costs $29

some bracelets that cost $4.50 each.

The equation that we need to solve is:

Total cost = money that Gonzales has.

The cost is $29 + x*$4.50

where x is the number of bracelets he can buy.

The equation that we need to solve is:

$29 + x*$4.50 = $42.50

to solve it we must isolate x:

x*$4.50 = $42.50 - $29 = $13.50

x = 13.50/4.50 = 3

So we have that Mr. Gonzales can buy a total of 3 bracelets.

8 0
1 year ago
Read 2 more answers
Emiyo has used 2 1/4 gallons of paint.This is 2/3 of the total amount of paint.How much ,p, did Emiyo have to start?
Leni [432]

Answer:

3 3/8

Step-by-step explanation:

y×(2/3)=2.25 (the same as 2 1/4)

÷2/3. ÷2/3

y=3.375

3 3=8 gallons

more of break down:

y×2/3=9/4

÷2/3 or ×3/2

y= 9. 3. 27

--- × ---- = ----- = 3 3/8

4. 2. 8

6 0
1 year ago
Isabella paid one of her bill late and owed a 4% late fee was 780. How much was Isabella's original bill in dollar
Rainbow [258]
You multipy 0.04 x 780
5 0
2 years ago
The price that a company charged for a basketball hoop is given by the equation 50 - 5x^2 where x is the number of hoops that ar
DiKsa [7]

Answer: The correct option is first, the number of basketball hoops did the company previously produce to make the same profit is 1.3 million hoops.

Explanation:

Let the number of basketball hoops did the company previously produce to make the same profit be x.

Total Revenue = Price * Quantity

The total revenue in million dollars is,

\text{Total Revenue}=(50-5x^2)x

\text{Total Revenue}=50x-5x^3

The total cost in million dollars is,

Total Cost = One unit cost * Quantity

\text{Total Cost}=30x

Profit = Total Revenue - Total Cost

\text{Profit}=50x-5x^3-30x

The profit is 15 million.

15=20x-5x^3

5x^3-20x+15=0\\x^2-4x+3=0\\(x-1)(x^2+x-3)=0

The value of x is 1 and \frac{-1\pm \sqrt{13}}{2}.

The production is always positive therefore the value of x either 1 or 1.3. Since 1 million is not available in the options therefore the the correct optin is 1.3 million hoops.

4 0
2 years ago
Read 2 more answers
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