Express 0.009238 to 3 significant figures

In a survey of 447 registered voters, 157 of them wished to see Mayor Waffleskate lose her next election. The Waffleskate campai

Hitman42 [59]

<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>

3 0

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

Ad libitum [116K]

9514 1404 393

Answer:

Birr 1341.67

Step-by-step explanation:

The tax is 15% of the price (p), so we have ...

0.15p = 175

p = 175/0.15 = 1166.67

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

1166.67 +175 = 1341.67

The man actually paid Birr 1341.67.

5 0

2 years ago

The circumference of the circle with center O is divided into 12 equal arcs, marked the letters A through L as seen below. What

tresset_1 [31]

We see nothing below that makes the situation clear for us.
We have no way to know what the angles 'x' and 'y' are, or
even whether they're on the same planet as the circle.

7 0

2 years ago

One evening 1400 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost $20 for covered pavilion seats a

Sidana [21]

The answer to the question

6 0

2 years ago

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

Inessa05 [86]

Answer:

for(j = n; j > 0; j--)

System.out.print(\"*\");

Step-by-step explanation:

-A for loop is a repetition control structure.

-It allows the efficiency to write a loop that would otherwise be written a couple of times.

-The output is a single line comprising n asterisks,

-The number of asterisks printed will be equivalent to the n-value declared.

7 0

2 years ago

Express 0.009238 to 3 significant figures​

Express 0.009238 to 3 significant figures