The null hypothesis is rejected because the probability is 0.52.
<h3>What are null hypotheses and alternative hypotheses?</h3>
In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
A political pollster claims that 55% of voters prefer candidate A.
To investigate this claim, a random sample of 75 voters is polled.
The pollster finds that 39 of those polled prefer candidate A.
He would like to know if the data provide convincing evidence that the true proportion of all voters who prefer candidate A is less than 55%.
This is left tailed test
H₀: p = 0.55
Hₐ: p < 0.55
Then the probability will be
p = 39 / 75
p = 0.52
P-value = 0.3015
Interpretation of P-value:- In a random sample of 75 voters, the chance of getting a sample statistic of 0.52 or below is 0.3015, assuming that the real population proportion of the voter base who chooses candidate A is 0.55.
More about the null hypotheses and alternative hypotheses link is given below.
brainly.com/question/9504281
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Answer:
y = 110
Step-by-step explanation:
The formula for the sum of the interior angles of a polygon with n sides is: (n-2) x 180 degrees. A hexagon has 6 sides, so if we plug this value into the equation, we get (6-2) x 180 = 4 x 180 = 720 degrees. Since we have one angle which is 170 degrees and the other five angles are the same (y), we can make the equation 170 + 5y = 720. We subtract 170 on both sides and get the equation 5y = 550. Dividing both sides by 5, we get y = 110, which is our answer.
Answer and Step-by-step explanation:
To find the value of x, set the sides BC and AD equal to each other (we can do this because we are told that the figure is a parallelogram, and those sides are congruent as stated in the properties of a parallelogram).
16x - 15 = 30 + 11x
<u>Subtract 11x from both sides of the equation.</u>
5x - 15 = 30
<u>Add 15 to both sides of the equation.</u>
5x = 45
<u>Divide both sides of the equation by 5.</u>
x = 9
<u>So, the answer is 9, which is equal to x.</u>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
45in³
Step-by-step explanation:
6 x 5 x 3 = 90/2 = 45in³
The volume of two spheres are in the ratio 27:125. The ratio of their areas is 9:25
