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Ne4ueva [31]
3 years ago
15

Select all that apply. A card is randomly drawn from a deck of cards. (There are 52 cards in a deck, with 13 cards of each suit.

) You record the following results for the experiment. Hearts Clubs Spades Diamonds Times Drawn 28 32 18 22 Which of the following are true? The experimental probability of drawing a club is 32%. The theoretical probability of drawing a diamond is 25%. Based on the experimental probability, there would be 90 spades drawn in 500 trials. Based on the theoretical probability, there would be 120 hearts drawn in 500 trials.
Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0
True: The theoretical  probability of drawing a diamond is 25%. Since there are the same number of cards for each of the four suits, the chance of drawing any suit is 25%.

True: Based on the experimental probability, there would be 90 spades drawn in 500 trials. 0.18 x 500 = 90

The rest of the statements are false.
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In a random sample of males, it was found that 28 write with their left hands and 210 do not. In a random sample of females, it
Drupady [299]

Answer:

a) Null hypothesis:p_{M} \geq p_{W}  

Alternative hypothesis:p_{M} < p_{W}  

b) z=\frac{0.118-0.125}{\sqrt{0.122(1-0.122)(\frac{1}{238}+\frac{1}{497})}}=-0.271    

c)p_v =P(Z   

d) If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of men that write with their left hand is NOT significant lower than the proportion of female that write with their left hand

Step-by-step explanation:

1) Data given and notation  

X_{M}=28 represent the number of men that write with their left hand

X_{W}=62 represent the number of women  that write with their left hand

n_{M}=210+28=238 sample of male selected

n_{W}=62+435=497 sample of female selected

p_{M}=\frac{28}{238}=0.118 represent the proportion of men  that write with their left hand

p_{W}=\frac{62}{497}=0.125 represent the proportion of women that write with their left hand

\alpha=0.05 represent the significance level

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the rate of left-handedness among males is less than that among females , the system of hypothesis would be:  

Null hypothesis:p_{M} \geq p_{W}  

Alternative hypothesis:p_{M} < p_{W}  

We need to apply a z test to compare proportions, and the statistic is given by:  

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

Where \hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{28+62}{238+497}=0.122

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.118-0.125}{\sqrt{0.122(1-0.122)(\frac{1}{238}+\frac{1}{497})}}=-0.271  

4) Statistical decision

We have a significance level provided \alpha=0.05, and now we can calculate the p value for this test.  

Since is a one left side test the p value would be:  

p_v =P(Z  

If we compare the p value and the significance level given \alpha=0.05, 0,1,0.15 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of men that write with their left hand is NOT significant loer than the proportion of female that write with their left hand .  

6 0
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Consider these functions:<br> f(x) = x + 1<br> g(x)= 2/x
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Answer:

its letter A.

\frac{2}{x + 1}

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3 years ago
I need help fast!!!!!!!!!!!!!
storchak [24]

Answer:

The answer is 140

Step-by-step explanation:

When the total measurements of the six-shaped corners is equal 720

Then x equal to

x = 720 - (120 + 120 + 120 + 130 + 90) = 140

If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything

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Answer:

8%

Step-by-step explanation:

Given that:

Reliability of each = 0.92

r = 0.92

1 - (1 - r)(1 - r) = 1 - (0.08)(0.08) = 1 - 0.0064 = 0.9936

Percentage improvement :

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1 - (0.9936 / 0.92)

1 - 1.08

= - 0.08

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