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nlexa [21]
4 years ago
9

In survey conducted by Quinnipiac University from October 25-31, 2011, 47% of a sample of 2,294 registered voters approved of th

e job Barack Obama was doing as president. What is the 99% confidence interval for the proportion of all registered voters who approved of the job Barack Obama was doing as president? (0.443, 0.497) Correct. We can be 99% confident that the proportion of all registered voters who approved of the job Barack Obama was doing as president is between 0.443 and 0.497. (0.460, 0.480) (0.453, 0.487) (0.450, 0.490)
Mathematics
2 answers:
Anni [7]4 years ago
5 0
0.49x0.47
Hope this helps.
aivan3 [116]4 years ago
4 0

Answer:

[0.49] x [0.460,0.453,0.487]        

Step-by-step explanation:

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<h2>Answer with explanation:</h2>

Let p represents the population proportion.

By considering the given information, we have

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Given : For sample size :n= 130,  \hat{p}=0.23

Test statistic: z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.23-0.29}{\sqrt{\dfrac{0.29(1-0.29)}{130}}}\\\\=-1.50762993902\approx-1.51

P-value (two -tailed test)=2P(z>|-1.51|)=0.1310434\approx 0.131

Since , the p-value (0.131) is greater than the significance level (0.03), so we accept the null hypothesis.

Thus , we conclude that we have sufficient evidence to support the null hypothesis  that the true population proportion of Maryland students who have smoked marijuana is 29% .

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