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3 years ago

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590 divided by 50779

1 answer:

Strike441 [17]3 years ago

8 0

590/50779= 0.1161898 or 0.116

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ducational Television In a random sample of people, said that they watched educational television. Find the confidence interval

SIZIF [17.4K]

Complete Question

Educational Television In a random sample of 200 people, 159 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round the answers to at least three decimal places.

Answer:

The 90% confidence interval is $0.748 < p < 0.842$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of people that watched the educational television is $k = 159$

Generally the sample proportion is mathematically represented as

$\^ p = \frac{159}{200}$

=> $\^ p = 0.795$

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90) \%$

=> $\alpha = 0.10$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.645 * \sqrt{\frac{0.795 (1- 0.795)}{200} }$

=> $E = 0.04696$

Generally 95% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.795 -0.04696 < p < 0.795 + 0.04696$

=> $0.748 < p < 0.842$

3 0

3 years ago

Draw a number line to<br><br> represent the inequality.<br><br> y s 23

Mkey [24]

Answer:

The number lines are shown below.

Step-by-step explanation:

In the given problem the sign of inequality is missing.

We know, that there are 4 signs of inequality ">", "<", "≥" and "≤".

The possible inequalityes are

$y>23$

$y$

$y\geq 23$

$y\leq 23$

In $y>23$ , all points on the right side of 23 are included in the solution set.

In $y$ , all points on the left side of 23 are included in the solution set.

In $y\geq 23$ , 23 and all points on the right side of 23 are included in the solution set.

In $y\leq 23$ , 23 all points on the left side of 23 are included in the solution set.

4 0

3 years ago

A cleaning product sells for $0.75 a quart. Which equation can be used to solve for the total cost, C , of five gallons of the p

ozzi

Answer: b. C = 5 × ($0.75 × 4)

Step-by-step explanation:

Note that 4 quarts = 1 gallon

Therefore, if a cleaning product sells for $0.75 a quart, the equation can be used to solve for the total cost, C , of five gallons of the product will be:

= 5 × ($0.75 × 4)

= 5 × $3

= $15

8 0

3 years ago

Someone help please!<br><br><br><br>X+3y=-7 5x+6y=-8

White raven [17]

Step-by-step explanation:

I have used substitution method here to find the value of x and y.

8 0

3 years ago

There are 100 bacteria in a jar. Every day, the number of bacteria increases 25%. In approximately how many days will there be 5

algol [13]

Use compound interest formula

$\\ \rm\Rrightarrow P(1+r/100)^t=500$

$\\ \rm\Rrightarrow 100(1+0.25)^t=500$

$\\ \rm\Rrightarrow (1.25)^t=5$

$\\ \rm\Rrightarrow log(1.25)^t=log5$

$\\ \rm\Rrightarrow tlog1.25=log5$

$\\ \rm\Rrightarrow t(0.097)=0.3$

$\\ \rm\Rrightarrow t=3.3\approx 3$

Option A

5 0

2 years ago

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