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Naily [24]
2 years ago
10

Steven answered 76% of the questions correctly on a test. Enter the percent of the questions Steven did not answer correctly

Mathematics
1 answer:
ziro4ka [17]2 years ago
3 0
24% of the questions were not answered correctly
You might be interested in
The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 800 voters i
Hunter-Best [27]

Answer:

A political strategist wants to test the claim that the percentage of residents who favor construction is more than  30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: p \leq 0.3

Alternative hypothesis p >0.3

Step-by-step explanation:

We have the following info given from the problem:

n= 800 the random sample of voters selected from the town

\hat p = 0.34 represent the proportion of residents favored construction

p_o = 0.30 represent the value desired to test.

A political strategist wants to test the claim that the percentage of residents who favor construction is more than  30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: p \leq 0.3

Alternative hypothesis p >0.3

And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And with the data given we have:

z=\frac{0.34 -0.3}{\sqrt{\frac{0.3(1-0.3)}{800}}}=2.469  

7 0
2 years ago
The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five numb
sergeinik [125]

Answer:

Lowest is 100

Highest is 125

Step-by-step explanation:

We use the 5 number summary to be the foundation of a graphical representation referred to as the box plot. One box would move from one quartile which is the lowest quartile Q1 to the another quartile Q3 which is the upper quartile.

Now if a box plot is to be made given the the information in this question, the box is going to go from Quartile 1 to Quartile 3.

Then the Lowest value would be 100 and the highest 125

3 0
3 years ago
9/25 of Polly's co-workers prefer tea over coffee.
snow_tiger [21]

Answer:

36%

Step-by-step explanation:

9/25 x 100

= 36%

3 0
3 years ago
Read 2 more answers
Life Expectancies In a study of the life expectancy of people in a certain geographic region, the mean age at death was years an
Sphinxa [80]

Answer:

The probability that the mean life expectancy of the sample is less than X years is the p-value of Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}, in which \mu is the mean life expectancy, \sigma is the standard deviation and n is the size of the sample.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

We have:

Mean \mu, standard deviation \sigma.

Sample of size n:

This means that the z-score is now, by the Central Limit Theorem:

Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

Find the probability that the mean life expectancy will be less than years.

The probability that the mean life expectancy of the sample is less than X years is the p-value of Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}, in which \mu is the mean life expectancy, \sigma is the standard deviation and n is the size of the sample.

8 0
2 years ago
4.06 Question 4
sleet_krkn [62]

Answer:

we have that

y < −3x + 3

y < x + 2

using a graph tool

see the attached figure

the answer is

the answer isThe point (1, −5) lie in the solution set

8 0
2 years ago
Read 2 more answers
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