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lubasha [3.4K]
3 years ago
5

What's the prime factor of 4, + -1? Testing

Mathematics
2 answers:
andrew-mc [135]3 years ago
7 0
The prime factor is 3
Nat2105 [25]3 years ago
3 0
It's 3333.....
have a great day!!!
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Refer to the following scenario:You want to see if there is a difference between the exercise habits of Science majors and Math
bekas [8.4K]

Answer:

1. H0: P1 = P2

2. Ha: P1 ≠ P2

3. pooled proportion p = 0.542

4. P-value = 0.0171

5. The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

6. The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

Step-by-step explanation:

We should perform a hypothesis test on the difference of proportions.

As we want to test if there is significant difference, the hypothesis are:

Null hypothesis: there is no significant difference between the proportions (p1-p2 = 0).

Alternative hypothesis: there is significant difference between the proportions (p1-p2 ≠ 0).

The sample 1 (science), of size n1=135 has a proportion of p1=0.607.

p_1=X_1/n_1=82/135=0.607

The sample 2 (math), of size n2=92 has a proportion of p2=0.446.

p_2=X_2/n_2=41/92=0.446

The difference between proportions is (p1-p2)=0.162.

p_d=p_1-p_2=0.607-0.446=0.162

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{82+41}{135+92}=\dfrac{123}{227}=0.542

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{0.542*0.458}{135}+\dfrac{0.542*0.458}{92}}\\\\\\s_{p1-p2}=\sqrt{0.001839+0.002698}=\sqrt{0.004537}=0.067

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.162-0}{0.067}=\dfrac{0.162}{0.067}=2.4014

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

\text{P-value}=2\cdot P(z>2.4014)=0.0171

As the P-value (0.0171) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

We want to calculate the bounds of a 99% confidence interval of the difference between proportions.

For a 99% CI, the critical value for z is z=2.576.

The margin of error is:

MOE=z \cdot s_{p1-p2}=2.576\cdot 0.067=0.1735

Then, the lower and upper bounds of the confidence interval are:

LL=(p_1-p_2)-z\cdot s_{p1-p2} = 0.162-0.1735=-0.012\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= 0.162+0.1735=0.335

The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

6 0
3 years ago
Mr. Jamison deposited $100 into a new savings account on January 1. On the first day of each month thereafter, he deposited thre
Lera25 [3.4K]

Answer:

$36 400

Step-by-step explanation:

Step 1

The first step is to figure out how much money is saved at the end of each month for the period from January 1 to June 15. The amount deposited at the end of each month is obtained by multiplying the amount from the previous month by 3.

The amount deposited in January is  \$100.

The amount deposited in February is 1\$00\times 3= \$300.

The amount deposited in March is  \$300\times 3= \$900.

The amount deposited in April is  \$900\times 3= \$2\700.

The amount deposited in May is  \$2\,700\times 3= \$8\,100.

The amount deposited in June is  \$8\,100\times 3= \$24\,300.


Step 2

The next step is to add up all the money that was deposited into the account. This calculation is shown below,

\$100+\$300+900+\$\$2\,700+\$8\,100+\$24\,000=\$36\,400


5 0
3 years ago
Read 2 more answers
A 32-ounce package of a snack mix is 24 percent pretzels. How many ounces are pretzels?
Igoryamba

Answer:

0.768 would be the amount of pretzels in ounces

Step-by-step explanation:

24% of 32 =0.768

how i got 24%?

24% of 100= 24

feel free to like and give brainliest

8 0
3 years ago
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Celia is 2 times Jacque’s age now. Celia was 6 times Jacque’s age 9 years ago. What system of equations can be solved to find th
ExtremeBDS [4]
The answer is 78 I know this as I am smart
5 0
3 years ago
What is the recursive rule for the sequence an=5(-2)n-1
Lana71 [14]
Multiplying an odd number of negative factors equals a negative

-5* 2n -1

Calculate the product

the answer is -10n - 1

4 0
3 years ago
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