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p̂1 = .5 and n1 = 40; p̂2 = .9 and n2 = 60. If Ho: p1 = p2, what are my best guesses at p1 and p2?

What is a confidence level?

Honors Stats 6F

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Answers

1
What is a confidence level?
If I took many samples, that % of statistics would capture the parameter
It gives a reasonable range of values for an unknown parameter
How sure I am that my confidence interval predicts my parameter value
It gives the probability that my parameter is between two bounds
If I took many samples, that % of intervals would capture the statistic
If I took many samples, that % of intervals would capture the parameter
2
p̂₁ = .5 and n₁= 40; p̂₂ = .9 and n₂ = 60. If Ho: p₁= p₂, what are my best guesses at p₁ and p₂?
.66 for both
.74 for both
0 for both
.7 for both
.5 for p1 and .9 for p2
.5 for both
3
p̂₁ = .5 and n₁= 40; p̂₂ = .9 and n₂ = 60. If Ho: p₁= p₂, what should I use for standard error when calculating z?
\sqrt{.74\left(.26\right)\left(\frac{1}{40}+\frac{1}{60}\right)}
\sqrt{.5\cdot.5+.9\cdot.1\left(\frac{1}{40}+\frac{1}{60}\right)}
\sqrt{\frac{.74\left(.26\right)}{100}}
\sqrt{\frac{.5\left(.5\right)}{40}+\frac{.9\left(.1\right)}{60}}
4
p̂₁ = .5 and n₁= 40; p̂₂ = .9 and n₂ = 60. If making a CI, what should I use for standard error when calculating it?
\sqrt{.74\left(.26\right)\left(\frac{1}{40}+\frac{1}{60}\right)}
\sqrt{.5\cdot.5+.9\cdot.1\left(\frac{1}{40}+\frac{1}{60}\right)}
\sqrt{\frac{.5\left(.5\right)}{40}+\frac{.9\left(.1\right)}{60}}
\sqrt{\frac{.74\left(.26\right)}{100}}