Michael's mom paid $2.40 for a 3/4 pound box of cereal.How much is that per pound?

The 90% confidence interval will be "(0.674, 0.748)".

Given:

Sample no. of events,

• x = 293

Sample size,

• n = 412

Now,

The sample proportion will be:

→

The significance level will be:

Form the z-table,

The critical value,

Now,

The standard error will be:

=

=

and,

The margin of error,

→

Now,

The lower limit will be:

=

=

The upper limit will be:

=

=

hence,

The CI is "(0.6744, 0.748)". Thus the response above is right.

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Answer:

CI = (0.674, 0.748)

Step-by-step explanation:

The confidence interval of a proportion is:

CI = p ± SE × CV,

where p is the proportion, SE is the standard error, and CV is the critical value (either a t-score or a z-score).

We already know the proportion:

p = 293/412

p = 0.711

But we need to find the standard error and the critical value.

The standard error is:

SE = √(p (1 − p) / n)

SE = √(0.711 × (1 − 0.711) / 412)

SE = 0.0223

To find the critical value, we must first find the alpha level and the degrees of freedom.

The alpha level for a 90% confidence interval is:

α = (1 − 0.90) / 2 = 0.05

The degrees of freedom is one less than the sample size:

df = 412 − 1 = 411

Since df > 30, we can approximate this with a normal distribution.

If we look up the alpha level in a z score table or with a calculator, we find the z-score is 1.645.  That's our critical value.  CV = 1.645.

Now we can find the confidence interval:

CI = 0.711 ± 0.0223 * 1.645

CI = 0.711 ± 0.0367

CI = (0.674, 0.748)

So we are 90% confident that the proportion of adults connected to the internet from home is between 0.674 and 0.748.

Answer:

64/22 = width

Answer:

60%

Step-by-step explanation:

If I get you right, you're asking for the percentage gain to the nearest percentage, right?

Now to do this, we need to get the amount of profit she made. That's quite easy, we only need to subtract the cost price from the selling price. And that equals $15 - $9.38 that equals $5.62.

Now, we divide this value by the cost price and multiply by 100% to get the percentage gain.

I.e 5.62/9.38 × 100%.

That gives 59.9% , which equals 60% when approximated to the nearest percentage.

Final answer:

The nearest percent increase is approximately 59.81%

Explanation:

To calculate the nearest percent increase, we need to find the difference between the selling price and the wholesale cost, and then divide it by the wholesale cost. In this case, the difference is $15 - $9.38 = $5.62. Then, dividing $5.62 by $9.38 gives us approximately 0.5981. Multiplying this by 100 gives us the nearest percent, which is approximately 59.81%.

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