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almond37 [142]
3 years ago
9

In a survey, 200 people were polled about whether they preferred spending their free time playing sports, watching a movie, or r

eading a book. The relative frequency table below displays the results.
Sports Movie Reading
Male 0.25 0.30 0.10
Female 0.15 0.05 0.15

Part A: How many males surveyed preferred playing sports? Show your work and explain your answer.

Part B: How many people surveyed preferred to read a book? Show your work and explain your answer.

Part C: How many females were surveyed? Show your work and explain your answer.
Mathematics
1 answer:
Rama09 [41]3 years ago
8 0
A) 25% of males preferred playing sports.

Explanation) .25 is the same is 25%.

B) 25% of the people surveyed preferred reading a book.

Explanation) You have to add up how many males and females rather
                      to read a book.  It's .10 + .15 =  25%.

C) 70 females were surveyed out of 200 people. 

Explanation)  Add up .15 + .5 + .15 to get .35.  Put .35 multiplied by 200 to                            get 70.



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Step-by-step explanation:

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4+8= 12

12 × ½ = 12 ÷ 2

12÷2 = 6

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The area of the trapezoid shown is ...

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Commute times in the U.S. are heavily skewed to the right. We select a random sample of 500 people from the 2000 U.S. Census who
tresset_1 [31]

Answer:

<em>|t|  =  2.739 > 1.972 at 0.05 level of significance</em>

<em>Null hypothesis is rejected  at 0.05 level of significance</em>

<em>The researchers able to conclude from this data that the mean commute time in the U.S. is less than half an hour</em>

<u>Step-by-step explanation</u>:

<u>Step(i)</u>:-

Given sample size n = 500

Given data

<em>mean of the sample x⁻ = 27.6 minutes</em>

<em>Standard deviation of the sample (S) =  19.6 minutes</em>

<em>Mean of the Population 'μ' = half an hour or 30 minutes</em>

<em>Level of significance ∝ =0.05</em>

t₀.₀₅ = 1.972

<u><em>Step(ii):</em></u>-

<u><em>Null hypothesis :H₀</em></u>: <em>μ= 30</em>

<u><em>Alternative Hypothesis :H₁:</em></u> <em>μ < 30</em>

Test statistic

    t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }

   t = \frac{27.6 -30}{\frac{19.6}{\sqrt{500} } }

 t = - 2.739

|t| = |-2.739| = 2.739

<u><em>Final answer</em></u>:-

<em>|t|  =  2.739 > 1.972 at 0.05 level of significance</em>

<em>Null hypothesis is rejected  at 0.05 level of significance</em>

<em>The researchers able to conclude from this data that the mean commute time in the U.S. is less than half an hour</em>

<em></em>

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