Mathematics: This pattern follows the rule divide by 2, then add 8. What are the next two numbers? 144, 80, 48, , A. 24, 12 B. 32, 24 C. 42, 36 D. 56, 64

This pattern follows the rule divide by 2, then

LilErvin

16.10.2022

95% confidence interval for the proportion of days that IBM stock increases.

(0.45814 , 0.58146)

Step-by-step explanation:

Step:1

Given that a stock market analyst notices that in a certain year, the price of IBM stock increased on 131 out of 252 trading days.

Given that the sample proportion

$p^{-} = \frac{131}{252} = 0.5198$

Level of significance = 0.05

Z₀.₀₅ = 1.96

Step:2

95% confidence interval for the proportion of days that IBM stock increases.

$(p^{-} - Z_{0.05} \frac{\sqrt{p(1-p)} }{\sqrt{n} } , p^{-} + Z_{0.05} \frac{\sqrt{p(1-p)} }{\sqrt{n} } )$

$(0.5198 - 1.96(\sqrt{\frac{0.5198(1-0.5198)}{252} } , 0.5198 +1.96(\sqrt{\frac{0.5198(1-0.5198)}{252} })$

(0.5198 - 0.06166 , 0.5198+0.06166)

(0.45814 , 0.58146)

Final -

95% confidence interval for the proportion of days that IBM stock increases.

(0.45814 , 0.58146)

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