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postnew [5]
2 years ago
6

In order for a constitutional amendment to the Florida constitution to pass 60% of the popular vote must support the amendment.

A researcher is interested in determining if the more than sixty percent of the voters would support a new amendment about higher education. The researcher asks 500 random selected potential voters if they would support the amendment. What is the null and alternative hypothesis?
Mathematics
1 answer:
max2010maxim [7]2 years ago
4 0

Answer:

H_{0}: p \leq 0.6\\H_A: p > 0.6

Step-by-step explanation:

We are given the following in the question:

Percentage of vote required for constitutional amendment = 60%

p = 60% = 0.6

Hypothesis:

More than sixty percent of the voters would support a new amendment about higher education.

We design the null and the alternate hypothesis  

H_{0}: p \leq 0.6\\H_A: p > 0.6

Interpretation:

The null hypothesis states that less than or equal to 60% of the voter support the new amendment and the alternative hypothesis states that gretaer than 60% supports the amendment about higher education.

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Stells [14]

Answer:

Part A: The test average for the math class after completing 2 tests is 81

Part B: The test average for the science class after completing 2 tests is 83

Part C: The science class had the higher average test score after completing the test 4.

Step-by-step explanation:

The average test score for math class is given by the linear function, f(x) = 0.5·x + 80

The data for the average test score for science g(x) are;

x,   q(x)

1,     81

2,    83

3,    85

Part A: The average test score for math after completing test 2 is given as follows;

f(2) = 0.5×2 + 80 = 81

∴ The test average for the math class after completing 2 tests = 81

Part B:

The average test score for science after completing test 2 is given from the table as at x = 2, g(2) = 83

∴ The test average for the science class after completing 2 tests = 83

Part C: After completing 4 tests, we have for the math class, f(4) = 0.5×4 + 80 = 82

For the science class, it is observed that common difference between each subsequent test score average is 2, therefore, the average test score, for the fourth test is 2 added to the average test score after the third test, which gives;

Average test score, after completing the fourth test for the science class, g(4) = 85 + 2 = 87

Since g(4) > f(4) the science class had the higher average test score after completing the test 4.

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Answer:

C

Step-by-step explanation:

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