Question

a scientist claims that a smaller proportion of members of the national academy of sciences are women when compared to the proportion of women nationwide. let p1 represent the proportion of women in the national academy of sciences and p2 represent the proportion of women nationwide. which is the correct alternative hypotheses that corresponds to this claim?

Answer 1

Option-A is correct that is Hₐ: p₁-p₂<0 is the alternative theories best fits this claim.

Given that,

According to a scientist, the percentage of women in the national academy of sciences is lower than the percentage of women in the general population. Let p₁ stand for the percentage of women in the National Academy of Sciences and p₂ for the overall percentage of women.

We have to find what is the alternative theories best fits this claim.

We know that,

p₁ represent the proportion of women in the National Academy of Sciences.

p₂ represent the proportion of women in the nationwide.

The alternative hypothesis is ,

Hₐ: p₁-p₂<0

Therefore, Option-A is correct that is Hₐ: p₁-p₂<0 is the alternative theories best fits this claim.

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