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Likurg_2 [28]
2 years ago
9

More hypotheses Write the null and alternative hypotheses you would use to test each situation.

Mathematics
1 answer:
Annette [7]2 years ago
3 0

Answer:

The null and alternative hypotheses are shown below:

Part (a) H_0: p=0.40\\H_a: p\neq 0.40

Part (b) H_0: p=0.20\\H_a: p< 0.20

Part (c) H_0: p=0.60\\H_a: p> 0.60

Step-by-step explanation:

Consider the provided information.

We need to write the null and alternative hypotheses.

Part (a) In the 1950s, only about 40% of high school graduates went on to college.

The null hypotheses is 0.40 and alternative hypotheses is about 0.40 but not equal to 0.40.

H_0: p=0.40\\H_a: p\neq 0.40

Part (b) Twenty percent of cars of a certain model have needed costly transmission work after being driven between 50,000 and 100,000 miles. The manufacturer hopes that a redesign of a transmission component has solved this problem.

20% Cars need costly transmission and manufacture hopes that redesign of a transmission component solved this problem.

Thus, the null hypotheses is 0.20 and alternative hypotheses less than 0.20 because after redesign less than 0.20 cars needs transmission.

H_0: p=0.20\\H_a: p< 0.20

Part (c): We field-test a new-flavor soft drink, planning to market it only if we are sure that over 60% of the people like the flavor.

We planning to market it only if 0.60 of the people like the flavor.

Thus, the null hypotheses is 0.60 and alternative hypotheses greater than 0.60.

H_0: p=0.60\\H_a: p> 0.60

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A quiz has thirty questions whose answers can only be correct or incorrect.
satela [25.4K]

Using a system of equations, it is found that Gina got 22 questions correct in the test.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Number of questions she got correct.
  • Variable y: Number of questions she got wrong.

The test has 30 questions, hence:

x + y = 30 -> y = 30 - x.

She scored 152 points, hence, considering the value of each question:

8x - 3y = 152.

Since y = 30 - x:

8x - 3(30 - x) = 152

11x = 242

x = 242/11

x = 22

Gina got 22 questions correct in the test.

More can be learned about a system of equations at brainly.com/question/24342899

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Answer:

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However in working out, here is what I did.

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Then you can conclude that the answer is D, due to 6 x 6 = 36, plus 7 equaling 42. 





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Step-by-step explanation:

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