Question

In a random sample of 250 men 95 like chocolate whereas in a random sample of 350 women 190 liked chocolate.Is there a significant difference between the men and women

Answer 1

Answer:

This is your answer

Step-by-step explanation:

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Answer 2

Answer:

Yes, women has 16.29% more liking for chocolate than men.

Step-by-step explanation:

Given,

In a sample of 250 men 95 lIke chocolate whereas in another sample of 350 women, 190 liked chocolate.

To find,

Is there any difference between the men and women. If yes, what.

Procedure,

Note: We can do this by calculating the percentage of men and women like chocolate and comparing them.

Let us take x percentage for men. And y Percentage for women.

$x= (\frac{95}{250} \times 100)\%$

$x = \frac{95 \times 100}{250} \%$

$x =( \frac{9500}{250} ) \%$

$x = 38\%$

Therefore, 38% of men like chocolate.

$y =( \frac{190}{350} \times 100)\%$

$y = (\frac{190 \times 100}{350} )\%$

$y( \frac{19000}{350} )\%$

$y = 54.29\%(approx.)$

Therefore, 54.29% of women like chocolate.

Now comparing men and women's percentage.

$x = 38\% \\ y = 54.29 \% \\ = 38\% < 54.29\% \\ = \therefore \: x < y$

Hence, yes, there is a significant difference between men and wome.

$54.29\% - 38\% = 16.29\%$

Therefore, women's percentage is 16.29% more than men's.