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There is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.
<h3>What is a statistical hypothesis?</h3>A hypothesis to test the given parameters requires that we determine if the mean score of the eighth graders is more than 283, thus:
The null hypothesis:
The alternative hypothesis:
From the population deviation, the Z test for the true mean can be computed as:
Z = 0.756
Note that, since we are carrying out a right-tailed test, the p-value for the test statistics is expressed as follows:
P(z > 0.756)
P = 0.225
Since the P-value is greater than the significance level at α = 0.14, we can conclude that there is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.
Learn more about hypothesis testing here:
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Answer:
The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.
The expected numbers of voters who would vote for Brown is 3604.
Step-by-step explanation:
The sample statistic is a numerical quantity used to represent a characteristic of a sample. For example, sample mean is a sample statistic representing the average of the sample. Or, sample proportion is a sample statistic representing the proportion of a particular variable in the sample. Or sample variance is a sample statistic representing the variance of the sample.
The sample statistic can be used to estimate the population parameter.
They are known as the point estimate of the parameter.
The sample proportion of a variable <em>X</em> is given by:
It is provided that of the <em>n</em> = 250 registered voters selected, the number of voters who said they would vote for Brown is <em>X </em>= 77.
Compute the sample statistic for the proportion of voters surveyed who said they'd vote for Brown as follows:
Thus, the sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.
Compute the expected number of people of the 11700 registered voters who would vote for Brown as follows:
Thus, the expected numbers of voters who would vote for Brown is 3604.
Answer:
Step-by-step explanation:
In each case, draw the right triangle which produces the inverse trig value. That is, label the two sides as needed, and calculate the third side.
It should be clear that
sin(2α) = 2 sinα cosα
So,
See what you can do with the others.