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julia-pushkina [17]
3 years ago
7

Find the area of the parallelogram shown below.

Mathematics
2 answers:
Aleksandr [31]3 years ago
8 0

area formula= b×h

4×5=20

Alexeev081 [22]3 years ago
7 0
That’s , base x height so just multiply those 2 numbers
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Answer:

a 0.5

b 0.4831

c 0.4354 < P < 0.53008

Step-by-step explanation:

Given that :

Probability (P) of a head or a tail when a coin is being tossed or flipped = 1/2 = 0.5

Sample size (n) = 296

Selected sample (X) = 143

a) Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses?

The  proportion of correct responses that would be expected if the touch therapists made random guesses is 0.5

b) Using Emily's sample results, what is the best point estimate of the therapists' success rate?

Point estimate (p') = \frac{X}{n}

= (p') = \frac{143}{296}

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c) Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists.

The Z_c for 90% is 1.645

Using the formula P" -E < P < P" + E

where E = margin of error :  Z_c * \sqrt{\frac{P(1-P)}{n} }

=1.645 * \sqrt{\frac{0.4831(0.5169)}{296} }

=1.645 * \sqrt{\frac{0.2497}{296} }

=1.645*0.029

= 0.0477

∴ P" -E < P < P" + E

= 0.4831 - 0.0477 < P < 0.4831 + 0.0477

= 0.4354 < P < 0.53008

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IRISSAK [1]
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