Use the equation below to find y, if m =6, x = 3, and b = 5.<br><br> y = mx + b

a poll shows that 64% of americans personally worry a great deal about federal spending and the budget deficit.

marysya [2.9K]

In the research, it should be noted that this is a Proportion, because worry or not worry is categorical

<h3>What is a proportion?</h3>

A population proportion is the percentage of the population that possesses a particular trait.

For illustration, suppose there are 1,000 people in the population and 237 of them have blue eyes. There are 237 blue eyed people out of every 1,000 people, or 237/1000.

Therefore, it should be noted that this is a Proportion, because worry or not worry is categorical.

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A poll shows that 64% of Americans personally worry a great deal about federal spending and the budget deficit. State whether the parameter of interest is a mean or a proportion.

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A cone has a slant height of 17cm and a base radius of 8cm. How high is the cone?

Orlov [11]

Answer:disuxysidux

Step-by-step explanation:suussususu

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2 years ago

Twice the quotient of a number and -24 is -8 Find the number.<br><br> The number is ________.

Klio2033 [76]

Answer: The number should be 6

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2 years ago

Many high school students take the AP tests in different subject areas. In 2007, of the 144,796 students who took the biology ex

Nataly [62]

Answer:

$(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942$

$(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978$

And the 90% confidence interval would be given (0.0942;0.09978).

We are confident at 90% that the difference between the two proportions is between $0.0942 \leq p_A -p_B \leq 0.09978$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p_A$ represent the real population proportion female for Biology

$\hat p_A =\frac{84199}{144796}=0.582$ represent the estimated proportion female for biology

$n_A=144796$ is the sample size for A

$p_B$ represent the real population proportion female for calculus AB

$\hat p_B =\frac{102598}{211693}=0.485$ represent the estimated proportion female for Calculus AB

$n_B=211693$ is the sample size required for B

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

For the 90% confidence interval the value of $\alpha=1-0.90=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the normal standard distribution.