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natali 33 [55]
4 years ago
15

A random sample of 100 students at a high school was asked whether they would ask their father or mother for help with a financi

al problem. A second sample of 100 different students was asked the same question regarding a dating problem. Forty-three students in the first sample and 47 students in the second sample replied that they turned to their mother rather than their father for help. Construct a 98% confidence interval for p1 - p2.
Mathematics
1 answer:
Ronch [10]4 years ago
3 0

Answer: (-0.2035,\ 0.1235)

Step-by-step explanation:

The confidence interval for the difference of two population proportion is given by :-

p_1-p_2\pm z_{\alpha/2}\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}

Given : n_1=100;\ n_2=100

The proportion of students in the first sample replied that they turned to their mother rather than their father for help. =\dfrac{43}{100}=0.43

The proportion of students in the second sample replied that they turned to their mother rather than their father for help. =\dfrac{47}{100}=0.47

Significance level : \alpha=1-0.98=0.02

Critical value : z_{\alpha/2}=2.326

Now, the 98% confidence interval for p_1-p_2 will be :-

0.43-0.47\pm(2.326)\sqrt{\dfrac{0.43(1-0.43)}{100}+\dfrac{0.47(1-0.47)}{100}}\\\\\approx-0.04\pm(0.1635)\\\\=(-0.04-0.1635,\ -0.04+0.1635)\\\\=(-0.2035,\ 0.1235)

Hence, the 98% confidence interval for p_1-p_2 is (-0.2035,\ 0.1235)

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Answer:

87.5%

Step-by-step explanation:

Complete question  -

75% of the people who eat at Doug's Diner order fish and 90% of the people who order fish also order fries. Given that 80% of all people who eat at Doug's order fries, what is the probability that a randomly chosen customer orders fries without fish?

Solution

Given

People who order fish at the Doug's Diner  = 75%

Out of this 75%, 90% also order  fries which means that nearly 67.5% ordered fries with the fish.

Given that, 80% of people dining at Doug's Diner order fries

Then percentage or people who ordered only fires and no fish = 80% - 67.5% = 12.5%

The probability of customers who ordered fish = 100 - 12.5% = 87.5%

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4 years ago
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Answer:

no solution

Step-by-step explanation:

1.4-5-2-3=7-6

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3.-3-3=7-6

4.-6=7-6

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every parallelogram is a square? False

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Step-by-step explanation:

every parallelogram is a square?

A parallelogram has two opposite pairs of parallel lines and opposite congruent sides. A square needs to have 4 right angles and all sides need to be equal. In the restrictions of a parallelogram, these cannot be concluded, therefore parallelogram are not always squares.

every rectangle with four congruent sides is a square?

Square require 4 congruent sides and 4 right angles. Rectangles already have  4 right angles. If you add 4 congruent sides to the mix, it means that these rectangles are always squares.

every rectangle is a quadrilateral?

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