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A certain psychological theory predicts that men want bigger families than women

ID: 3176649 • Letter: A

Question

A certain psychological theory predicts that men want bigger families than women. Kate asked each student in her psychology class how many children he or she considered ideal for a married couple and obtained the Excel results shown below at = 0.05

Hypothesis Test: Independent Groups (t-test, pooled variance)

Men

Women

2.24

2.03

mean

0.98

0.90

std. dev.

37

37

n

72

df

0.216

difference (Men - Women)

0.886

pooled variance

0.941

pooled std. dev.

0.219

standard error of difference

0

hypothesized difference

0.99

t

.3264

p-value (two-tailed)

What conclusion can you draw in a two-tailed test at = 0.05?

Select one:

a. Men want larger families on average than women.

b. Women want larger families on average than men.

c. We cannot reject the hypothesis of equal population means.

d. The decision depends on whether the variances are equal.

Hypothesis Test: Independent Groups (t-test, pooled variance)

Men

Women

2.24

2.03

mean

0.98

0.90

std. dev.

37

37

n

72

df

0.216

difference (Men - Women)

0.886

pooled variance

0.941

pooled std. dev.

0.219

standard error of difference

0

hypothesized difference

0.99

t

.3264

p-value (two-tailed)

Explanation / Answer

As we can see from the output, p - value is 0.3264 which is greater than 0.05 so we do not reject the null hypothesis.

Hence,

We cannot reject the hypothesis of equal population means.

Option C is correct.

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