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netineya [11]
2 years ago
5

Express 0.009238 to 3 significant figures​

Mathematics
1 answer:
adell [148]2 years ago
6 0

Answer: = 9.238 * 10 ^ 3

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In a survey of 447 registered voters, 157 of them wished to see Mayor Waffleskate lose her next election. The Waffleskate campai
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<h2>Answer with explanation:</h2>

Let p be the true proportion of  registered voters wish to see Mayor Waffleskate defeated.

As per given , we have

H_0: p\leq0.27\\\\ H_a: p >0.27

Sample size : n= 447

Number of of registered voters wish to see Mayor Waffleskate defeated = 157

I.e. sample proportion :  \hat{p}=\dfrac{157}{447}\approx0.3512

Confidence interval for population proportion is given by :-

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where n= sample size

\hat{p} = sample proportion

z* = critical z-value.

Critical z-value for 98% confidence interval is 2.33.  (By z-table)

Then, the 98% confidence interval for the proportion of registered voters who wish to see Waffleskate defeated will be :

0.3512\pm2.33\sqrt{\dfrac{0.3512(1-0.3512)}{447}}\\\\=0.3512\pm (2.33)(0.022577656)\\\\=0.3512\pm 0.05260593848\\\\=(0.3512-0.05260593848,\ 0.3512+0.05260593848)\\\\=(0.29859406152,\ 0.40380593848)\approx(0.299,\  0.404)

Since the 0.27 < 0.299 , it means 0.27 does not belong to the above confidence interval.

So , we reject the null hypothesis (H_0).

So ,  <u>98% confidence interval does not support the claim.</u>

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2 years ago
A man buys a washing machine whose price VAT (value added Tax ) is Birr 175. lts VAT is charged at 15 % ,how much did the man ac
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Answer:

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When the tax is added, the total comes to ...

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The man actually paid Birr 1341.67.

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Given an int variable n that has already been declared and initialized to a positive value, and another int variable j that has
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