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Susanne is going to college and was informed that she will get a grant to pay for

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Yakvenalex [24]2 years ago

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Answer:

what are the options????

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Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f

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Answer: b) 84

Step-by-step explanation:

Let p be the prior estimate of the required proportion.

As per given , we have

p =0.5 (The probability of getting heads on a fair coin is 0.5)

Significance level : $\alpha: 1-0.90=0.10\\$

Critical z-value (using z-value table ) : $z_{\alpha/2}=1.645$

Confidence interval width : w= 0.18

Thus , the margin of error : $E=\dfrac{w}{2}=0.09$

Formula to find the sample size ( if prior estimate of proportion is known.):-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$

Substitute the values , we get

$n=0.5(1-0.5)(\dfrac{1.645}{0.09})^2$

Simplify ,

$n=83.5192901235\approx84$ [Round of to the next whole number.]

Hence, the number of times we would have to flip the coin =<u>84</u>

hence, the correct answer is b) 84

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