Mathematics, 31.05.2020 04:58 goargrant

A random sample of 150 recent donations at a certain blood bank reveals that 82 were typeA blood. Does this suggest that the actual percentage of type A donations differs from 40%,the percentage of the population having type A blood? Carry out a test of the appropriatehypotheses using a significance level of .01. Would your conclusion have been different if asignificance level of .05 had been used?

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Answer from: kimjp56io5

No conclusion have been not different if a significance level of 0.05 had been used also

The calculated Z-value = 3.596 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative Hypothesis is Accepted

The actual percentage of type A donations is not differs from 40%,the percentage of the population having type A blood.

Step-by-step explanation:

Explanation:-

Step(i):-

A random sample of 150 recent donations at a certain blood bank reveals that 82 were type A blood

Given sample size 'n' = 150

Sample proportion $p = \frac{x}{n} = \frac{82}{150} =0.546$

Given Population proportion P = 40% =0.40

level of significance ∝ = 0.01

Step(ii):-

Null Hypothesis:- H₀: p=0.40

Alternative Hypothesis:-H₁:p≠0.40

The test statistic

$Z =\frac{ p^{-} - p}{\sqrt{\frac{p(1-p)}{n} } }$

a) 99% of level of Z-value

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} = 2.576$

$Z =\frac{ 0.546 - 0.40}{\sqrt{\frac{0.546(1-0.546)}{150} } }$

Z = 3.596

The calculated Z-value = 3.596 > 2.576 at 1% level of significance

Null hypothesis is rejected

Alternative Hypothesis is Accepted

The actual percentage of type A donations is not differs from 40%,the percentage of the population having type A blood.

b) 95% of level of Z-value

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96$

$Z =\frac{ 0.546 - 0.40}{\sqrt{\frac{0.546(1-0.546)}{150} } }$

The calculated Z-value = 3.596 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative Hypothesis is Accepted

Conclusion:-

The actual percentage of type A donations is not differs from 40%,the percentage of the population having type A blood.

Answer from: Quest

glide reflection.

its mainly because the pattern will be infinite and will never end. it will look like a gilder or like a filpbook when set to motion.

Answer from: Quest

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

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A random sample of 150 recent donations at a certain blood bank reveals that 82 were typeA blood. Do...