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chubhunter [2.5K]
3 years ago
9

An opinion poll asked a random sample of adults whether they believe flu shots are ineffective in the United States. A commentat

or believes less than 35% of all adults believe they are ineffective. Which null and alternative hypotheses should be used to test this claim? H0: p ≠ 0.35, Ha: p 0.35

Mathematics
1 answer:
s2008m [1.1K]3 years ago
6 0

Complete Question

The complete question is shown on the first uploaded image

Answer:

The second option is the correct option

Step-by-step explanation:

From  the question we are told that

    The  sample  proportion is  \r p  = 0.35

The  Null Hypothesis is  H_o  :  \r p  = 0.35

The reason for this is that the this original claim when represented mathematically does not contain an equality sign (i.e  \ it \ is \ mathematically \  represented \  as \  \r  p  < 0.35)  so the null hypothesis is the compliment of it ( i.e  \r p  =  0.35)

The  Alternative hypothesis is  H_a : \r   p <  0.35

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Find the sample standard deviation of the following data set, using the statistical functions on your calculator.0.2315 0.4725 0
Nonamiya [84]

Answer:

Option C) 0.2358

Step-by-step explanation:

We are given the following data set:

0.23105, 0.4725, 0.8765, 0.4865, 0.5326, 0.7976

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{3.39675}{6} = 0.566125

Sum of squares of differences = 0.1122752556 + 0.008765640625 + 0.09633264063 + 0.006340140625 + 0.001123925625 + 0.05358067562 = 0.2784182787

S.D = \sqrt{\frac{0.2784182787}{5}} = 0.2358

Thus, the standard deviation for given data is

Option C) 0.2358

7 0
3 years ago
Harold has 4 classes each morning. Each class is 1 hour long, and there are 10 minutes between classes. The first class is at 8
Viktor [21]

The fourth class ends at 12:30 pm

<em><u>Solution:</u></em>

Given that Harold has 4 classes each morning

Each class is 1 hour long, and there are 10 minutes between classes

The first class is at 8 A.M

<em><u>To find: Time at which fourth class ends</u></em>

Since each is 1 hour long and 10 minutes gap between classes

First class = 8 A.M to 9 A.M

Second class = 9:10 A.M to 10 : 10 AM

Third class = 10 : 20 AM to 11 : 20 AM

Fourth class = 11 : 30 AM to 12 : 30 PM

Thus the fourth class ends at 12:30 pm

4 0
2 years ago
What is 45.67 in expanded form? 40+5+0.6+0.07 or 40+0.5+0.06+0.007 or 40+5+0.6+0.007 or 4+5+0.06+0.007?
polet [3.4K]
It's right .
40+5+0.6+0.07

8 0
3 years ago
Which line shows theINITIAL error in volume work?
aliina [53]

In step 2, V = \frac{4}{3}(3.14)(37.5) show the error in volume work.

Solution:

Given data:

The steps shows it is sphere.

Radius of the sphere = 12.5

The value of π = 3.14

Volume of the sphere = \frac{4}{3} \pi r^3

Step 1:

$V=\frac{4}{3} (3.14)(12.5)^3

$V=\frac{4}{3} (3.14)(12.5)(12.5)(12.5)

Step 2:

$V=\frac{4}{3} (3.14)(1953.125)

Step 3:

$V=\frac{4}{3} (6132.81)

Step 4:

V = 8177.08 cubic units

This is the correct solution.

But in the given options, in step 2, 12.5 is multiplied by 3.

That is not the correct step. You have to do 12.5 × 12.5 × 12.5.

Hence in step 2, V = \frac{4}{3}(3.14)(37.5) show the error in volume work.

7 0
3 years ago
Need the steps too this
ruslelena [56]

The value of x  is 9.

We have :    - 25 = 7 - (5x - 13)

We have to find the value of x.

<h3>If f(x) = g(x), than what do you understand by true solution of this equation?</h3>

The true Solution of the equation is the value of x for which LHS = RHS.

For example - if  ax + b = cx + d , then

ax - cx = d - b

x = \frac{d-b}{a-c}   is the true solution of the equation.

In the question given -

- 25 = 7 - (5x - 13)

- 25 = 7 - 5x + 13

5x = 45

x = 9

Hence, the value of x for which LHS = RHS is 9.

To solve more questions on finding unknown variable, visit the link below -

brainly.com/question/6866597

#SPJ1

3 0
2 years ago
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