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3 years ago

A number - _______ = previous number

Mathematics

1 answer:

leva [86]3 years ago

6 0

Answer:

Step-by-step explanation:

When we substract 1 from any number then will get just previous number.

Example :

Let any number 17

17-1 =16

16 is the just previous number of 17

Therefore, A number -1 = previous number

Answer will be 1

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Answer:

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This is a hypothesis test for the difference between proportions.

The claim is that the proportion that polled in favor of the incumbent has decreased significantly.

Then, the null and alternative hypothesis are:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0$

The significance level is 0.05.

The sample 1 (old poll), of size n1=600 has a proportion of p1=0.54.

The sample 2 (new poll), of size n2=1030 has a proportion of p2=0.5.

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$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{324+515}{600+1030}=\dfrac{839}{1630}=0.5147$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.5147*0.4853}{600}+\dfrac{0.5147*0.4853}{1030}}\\\\\\s_{p1-p2}=\sqrt{0.0004+0.0002}=\sqrt{0.0007}=0.0257$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.04-0}{0.0257}=\dfrac{0.04}{0.0257}=1.56$

This test is a right-tailed test, so the P-value for this test is calculated as (using a z-table):

$\text{P-value}=P(z>1.56)=0.06$

As the P-value (0.06) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

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