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ycow [4]
2 years ago
12

5. 4 friends have a $20 coupon to help pay for their dinner. The total bill

Mathematics
1 answer:
lubasha [3.4K]2 years ago
8 0
That’s easy what you have to do is you have to be the smartest person to do this
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In a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer
stira [4]

Answer:

We conclude that 80% of patients stop smoking when given sustained care.

Step-by-step explanation:

We are given that in a program designed to help patients stop smoking. 192 patients were given to sustained care, and 80.2% of them were no longer smoking after one month.

Let p = <u><em>percentage of patients stop smoking when given sustained care.</em></u>

So, Null Hypothesis, H_0 : p = 80%     {means that 80% of patients stop smoking when given sustained care}

Alternate Hypothesis, H_A : p \neq 80%     {means that different from 80% of patients stop smoking when given sustained care}

The test statistics that would be used here <u>One-sample z test for proportions</u>;

                        T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of patients who stop smoking when given sustained care = 80.2%

           n = sample of patients = 192

So, <u><em>the test statistics</em></u>  =  \frac{0.802-0.80}{\sqrt{\frac{0.802(1-0.802)}{192} } }

                                     =  0.07

The value of z test statistics is 0.07.

<u></u>

<u>Also, P-value of the test statistics is given by the following formula;</u>

                P-value = P(Z > 0.07) = 1 - P(Z \leq 0.07)

                              = 1 - 0.52790 = 0.4721

<u>Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.</u>

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that 80% of patients stop smoking when given sustained care.

8 0
3 years ago
Aria’s father is laying tile in their new kitchen. The length of one side of the room is 17 feet. Each of the tiles has a length
AlexFokin [52]

Answer:

48ft

Step-by-step explanation:

48ft

7 0
2 years ago
3. In the rhombus, what are m∠1, m∠2 and m∠3? The diagram is not drawn to scale.
Talja [164]
M< 1 = 128, m< 2 = 26, and m< 3 = 26.
4 0
3 years ago
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Find the equation of tangent line
bogdanovich [222]

\frac{dy}{dx} 2x {e}^{x}  = 2x {e }^{x}  + 2 {e}^{x}

Evaluated at x=0 we get

y = 2x

3 0
2 years ago
Write and solve a proportion to answer the question.
qaws [65]

Answer: 7.84 is the answer

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