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7nadin3 [17]
4 years ago
7

GIVE THE RIGHT ANSWER AND PROVE THAT ITS RIGHT

Mathematics
2 answers:
Lunna [17]4 years ago
5 0

The right answer is 56

SSSSS [86.1K]4 years ago
3 0

a = 56

given 28 = \frac{1}{2} a

multiply both sides by 2 to eliminate the fraction

56 = a

As a check

\frac{1}{2} × 56 = 28 ← True


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Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a rando
inysia [295]

Answer:

a)

The proportions of the females and males who took the survey who are annoyed by the behavior in question are<u> 0.3301 </u>and_<u>0.3791 </u>respectively

b)

<em>D) The data come from a Population that is Normally distributed</em>

<em>F) the samples are independent</em>

<em>c) </em>

<em>Null hypothesis: H₀: </em>p_{m} ^{-} - p^{-} _{fm} \leq  0

<em>Alternative Hypothesis H₁</em>: p_{m} ^{-} - p^{-} _{fm} \geq  0

Step-by-step explanation:

Given data Among the 530 males​ surveyed, 175 responded​ "Yes

The sample proportion of males

p_{m} ^{-}  = \frac{x}{n} = \frac{175}{530} = 0.3301

The sample proportion of 575 Females surveyed, 218 responded​ "Yes

p_{fem} ^{-}  = \frac{x}{n} = \frac{218}{575} = 0.3791

a)

The proportions of the females and males who took the survey who are annoyed by the behavior in question are<u> 0.3301 </u>and_<u>0.3791 </u>respectively

b)

<em>The data come from a Population that is normally distributed.</em>

<em>The two samples are independent</em>

c)

<em>Null hypothesis: H₀: </em>p_{m} ^{-} - p^{-} _{fm} \geq 0

<em>Alternative Hypothesis H₁</em>: p_{m} ^{-} - p^{-} _{fm} \leq  0

We will use two samples Z - hypothesis test

Z = \frac{p^{-} _{m} - p^{-} _{fem} }{se(p^{-} _{m}-p^{-} _{fem} ) }

Se(p_{m} -p_{fem}) = \sqrt{\frac{p_{m}(1-p_{m})  }{n_{m} }+\frac{p_{fem} (1-p_{fem} )}{n_{fem} }  }

Se(p_{m} -p_{fem}) = \sqrt{\frac{0.3301(1-0.3301)  }{530 }+\frac{0.3791(1-0.3791)}{575}  }

 Se(p_{m} ^{-} - p^{-} _{fem} ) = \sqrt{0.000826} = 0.0287

The test statistic

Z = \frac{0.3301-0.3791}{0.02875}

Z = -1.7043

|Z| = |-1.7043|

The tabulated value Z₀.₉₅ = 1.96

The calculated Z= 1.7043 < 1.96 at 0.05 level of significance

The null hypothesis is accepted

<u><em>Conclusion:-</em></u>

The evidence suggest not a higher proportion of females are annoyed by this​ behavior

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