Question

In: Statistics and Probability

Data suggest that 232 male deaths from lightning strikes and 55 female deaths from lightning strikes...

Data suggest that 232 male deaths from lightning strikes and 55 female deaths from lightning strikes occur, assume that this data is randomly selected and proceed to construct a 95% confidence interval estimate of the proportion of males among all lightning deaths. based on the result does it seem feasible that males and females have equal chances of being killed by lightning.

and what is the Confidence Interval?

Expert Solution

Solution :

Given that,

n = 232

x = 55

= x / n =55 /232 = 0.237

1 - = 1 - 0. 237= 0.763

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z_/2 = Z_0.025 = 1.96

Margin of error = E = Z_{/ 2} * $\sqrt$ (( * (1 - )) / n)

= 1.96 * ( $\sqrt$ ((0.237 * 0.763) / 232) = 0.0547

A 95% confidence interval for population proportion p is ,

- E < P < + E

0.237 - 0.0547 < p < 0.237 + 0.0547

0.1823< p < 0.2917

The 95% confidence interval for the population proportion p is : ( 0.1823 , 0.2917)

orchestra answered 2 years ago

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Data suggest that 232 male deaths from lightning strikes and 55 female deaths from lightning strikes...

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