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sweet-ann [11.9K]
2 years ago
8

5 - ( m - 4 ) = 2m + 3 ( m -1 )

Mathematics
1 answer:
Leni [432]2 years ago
8 0

Answer:

m=2

Step-by-step explanation:

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A company surveyed 2400 men where 1248 of the men identified themselves as the primary grocery shopper in their household. ​a) E
polet [3.4K]

Answer:

a) With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

b) The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

c) \alpha =1-0.98=0.02

Step-by-step explanation:

If np' and n(1-p') are higher than 5, a confidence interval for the proportion is calculated as:

p'-z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }\leq  p\leq p'+z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }

Where p' is the proportion of the sample, n is the size of the sample, p is the proportion of the population and z_{\alpha/2} is the z-value that let a probability of \alpha/2 on the right tail.

Then, a 98% confidence interval for the percentage of all males who identify themselves as the primary grocery shopper can be calculated replacing p' by 0.52, n by 2400, \alpha by 0.02 and z_{\alpha/2} by 2.33

Where p' and \alpha are calculated as:

p' = \frac{1248}{2400}=0.52\\\alpha =1-0.98=0.02

So, replacing the values we get:

0.52-2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\leq  p\leq 0.52+2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\\0.52-0.0238\leq p\leq 0.52+0.0238\\0.4962\leq p\leq 0.5438

With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

Finally, the level of significance is the probability to reject the null hypothesis given that the null hypothesis is true. It is also the complement of the level of confidence. So, if we create a 98% confidence interval, the level of confidence 1-\alpha is equal to 98%

It means the the level of significance \alpha is:

\alpha =1-0.98=0.02

4 0
3 years ago
What is the slope of the line?<br> pls help I need the answer
Drupady [299]

Answer:

the slope of a horizontal line is 0

6 0
3 years ago
PLEASE HELP WITH THIS!!! I WILL MARK YOU BRAINLIEST!!!
PolarNik [594]

Answer:

cant you only get brainliest by answering a lot of questions?

Step-by-step explanation:

4 0
2 years ago
If P(A) = 0.3 and P(B) = 0.6 what is P(A or B) if the two events are independent?
Katena32 [7]

Answer:

P(A or B) is 0.72

Step-by-step explanation:

Given : P(A) = 0.3 and P(B) = 0.6

To Find:P(A or B) = P(A∪B)

Solution :

We are given that A and B are two independent events

Property : If A and B are independent events then P(A \cap B) = P(A) \times P(B)

So, P(A \cap B) = P(A) \times P(B)

P(A \cap B) =0.3 \times 0.6

P(A \cap B) =0.18

Formula : P(A \cup B)=P(A)+P(B)-P(A \cap B)

P(A \cup B)=0.3+0.6-0.18

P(A \cup B)=0.72

Hence P(A or B) is 0.72

6 0
3 years ago
If KM = NO and KM = PQ, then NO = PQ. Which property is illustrated above? A. reflexive property B. symmetric property C. substi
yanalaym [24]
I think thats the reflexive property 
4 0
3 years ago
Read 2 more answers
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