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3 years ago

Describe the relationship between the number of "at bats" and the number of hits using the data in the scatter plot.

Mathematics

1 answer:

butalik [34]3 years ago

6 0

Answer: A.) For these data, as the number of at bats increases, the number of hits tend to increase.

This is because the points seem to trend upward as we move from left to right. This makes sense because the more attempts you get, the more hits you're expected to get.

Assume that someone has a batting average of 0.300; this means that if they got 1000 attempts, then we expect about 0.300*1000 = 300 hits. Now if they got 2000 at bats this time, then we expect about 0.300*2000 = 600 hits.

Of course things won't fit this perfectly since everything in life has random statistical error, but this gives a good idea of the upward trending data. The two variables (at bats and hits) are strongly related. We can say the variables have strong positive correlation.

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In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study

DIA [1.3K]

Answer:

$z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055$

The p value can be calculated from the alternative hypothesis with this probability:

$p_v =2*P(Z>2.055)=0.0399$

And the best option for this case would be:

C. between 0.01 and 0.05.

Step-by-step explanation:

Information provided

$X_{1}=1642$ represent the number of smokers from the sample in 1995

$X_{2}=1415$ represent the number of smokers from the sample in 2010

$n_{1}=4276$ sample from 1995

$n_{2}=3908$ sample from 2010

$p_{1}=\frac{1642}{4276}=0.384$ represent the proportion of smokers from the sample in 1995

$p_{2}=\frac{1415}{3908}=0.362$ represent the proportion of smokers from the sample in 2010

$\hat p$ represent the pooled estimate of p

z would represent the statistic

$p_v$ represent the value for the pvalue

System of hypothesis

We want to test the equality of the proportion of smokers and the system of hypothesis are:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

The statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1642+1415}{4276+3908}=0.374$

Replacing the info given we got:

$z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055$

The p value can be calculated from the alternative hypothesis with this probability:

$p_v =2*P(Z>2.055)=0.0399$

And the best option for this case would be:

C. between 0.01 and 0.05.

7 0

3 years ago

Help with math work

Dennis_Churaev [7]

Answers for different section are given below;

<h3>What is Function?</h3>

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, given function;

f(x) = -x² - 4x + 6

1. If we take -1 common from the given function, we get

f(x) = -1 (x² + 4x - 6)

f(x) = -1 (x² + 4x) + 6

Thus, first block contains -1 and second block contains 4.

2. Then we add half of the coefficient of x², (b/2)², inside the bracket and subtract it outside a times, a(b/2)².

f(x) = -1 ( x² + 2. 2x + 2²) +2² + 6

f(x) = -1 ( x² + 4x + 2²) +4 + 6

Thus, first block contains -1, second block contains 4, third block contains 4, and fourth block contains 4.

3. Then we factorize the bracket and simplify outside the bracket;

f(x) = -1 (x + 2)² + 10