A Certain Psychological Theory Predicts That Men Want Bigger Families $\text { t-Test: Two-Sample Assuming Equal Variances }$

Multiple Choice

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 ? = .05. $\text { t-Test: Two-Sample Assuming Equal Variances }$ $\text { t-Test: Two-Sample Assuming Unequal Variances }$
$\begin{array}{l}\begin{array} {lrlrl} &\text { Men } \\\hline \text { Mean } & 2.4571 \\\text { Variance } & 0.7261 \\\text { Observations } & 35 \\\text { Pooled Variance } & 0.59206 \\\text { Hypothesized Diff } & 0 \\\text { df } & 48 \\\text { t Stat } & 1.364 \\\text { P(Tet) one-tail } & 0.090 \\\text { t Critical one-tail } & 1.677 \\\text { P(T-t) two-tail } & 0.179 \\\text { t Critical fwo-tail } & 2.011 \\\hline\end{array}\begin{array} {rlrl} \text {Women. }& \\\hline 2.1333 & \text { Mean } \\0.2667 & \text { Variance } \\15 & \text { Observations } \\\\& \text { Hypothesized Diff } \\& \text { df } \\& 1 \text { Stat } \\& \text { P(Tet) one-tail } \\& 1 \text { Critical one-tail } \\& \text { P(T }<=\text { t) two-tail } \\& 1 \text { Critical two-tail }\\\hline\end{array}\begin{array} { lrlrl } \text { Men } & \text {Women. } \\\hline2.4571 & 2.1333 \\0.7261 & 0.2667 \\35 & 15 \\\\0 & \\42 & \\1.650 & \\0.053 & \\1.682 & \\0.106 & \\2.018 & \\\hline\end{array}\end{array}$
What conclusion can you draw in a two-tailed test at ? = .05?

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 or not the variances are equal.