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IrinaK [193]
3 years ago
10

A company negotiator claims that only 35% of union members will support a strike, but a union rep believes that the true percent

age is greater and runs a hypothesis test. What are the hypothesis statements for this situation?
A. H0: p < 0.35; Ha: p = 0.35

B. H0: p = 0.35; Ha: p < 0.35

C. H0: p > 0.35 ; Ha: p = 0.35

D. H0: p = 0.35; Ha: p > 0.35
Mathematics
1 answer:
Softa [21]3 years ago
3 0

Answer:

(d) H_o: p = 0.35 H_a: p > 0.35

Step-by-step explanation:

Given

\mu = 35\%

Required

The hypothesis statements

First claim: 35% will support a strike.

This represents the null hypothesis

H_o: p = 0.35

Second claim: A greater percentage will support the strike.

This represents the alternate hypothesis

H_a: p > 0.35

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\frac{17}{60} and \frac{1}{4} are the experimental probabilities from the table.

Solution:

Total number of times spun the spinner = 60

Number of times getting 1 = 12

Number of times getting 2 = 17

Number of times getting 3 = 15

Number of times getting 4 = 16

<u>Experimental probabilities from the table:</u>

Probability of getting 1 = \frac{12}{60}=\frac{1}{5}

Probability of getting 2 = \frac{17}{60}

Probability of getting 3 = \frac{15}{60}=\frac{1}{4}

Probability of getting 4 = \frac{16}{60}=\frac{4}{15}

<u>To determine which are the experimental probabilities from the table:</u>

Option A: 15

This is not obtained above. So, it is not the experimental probability.

Option B: \frac{17}{60}

This is obtained in the probability of getting 2.

So, it is the experimental probability.

Option C: \frac{1}{4}

This is obtained in the probability of getting 3.

So, it is the experimental probability.

Option D: \frac{7}{15}

This is not obtained above. So, it is not the experimental probability.

Option E: \frac{12}{43}

This is not obtained above. So, it is not the experimental probability.

Hence \frac{17}{60} and \frac{1}{4} are the experimental probabilities from the table.

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A tree that is 4 ft tall is growing at a rate of 1 ft each year a tree that is 12 feet tall is growing at a rate of 1/2 ft each
Andreyy89

Answer:

16 years

Step-by-step explanation:

Given data

For the first tree

let the expression for the height be

y=4+x--------------1

where y= the total height

          4= the initial height

          x= the number of years

For the second tree, the expression is

y=12+0.5x-------------2

Equate 1 and 2

4+x=12+0.5x

x-0.5x=12-4

0.5x= 8

x= 8/0.5

x=16

Hence it will take 16 years for both trees to have the same height

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3 years ago
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