Question

To what extent do syntax textbooks, which analyze the structure
of sentences, illustrate gender bias? A study of this question
sampled sentences from 10 texts. One part of the study examined the
use of the words "girl," "boy," "man," and "woman." We will call
the first two words *juvenile* and the last two
*adult*. Is the proportion of female references that are
juvenile (girl) equal to the proportion of male references that are
juvenile (boy)? Here are data from one of the texts:

Gender | n |
X(juvenile) |

Female | 59 | 48 |

Male | 132 | 53 |

a) Find the proportion of juvenile references for females and its standard error. Do the same for the males. (Round your answers to three decimal places.)

p̂_{F} |
=.853 |

SE_{F} |
= .051 |

p̂_{M} |
= .402 |

SE_{M} |
= .043 |

b) Give a 90% confidence interval for the difference. (Do not use rounded values. Round your final answers to three decimal places.)

(______,______)

(c) Use a test of significance to examine whether the two
proportions are equal. (Use p̂_{F} − p̂_{M}. Round
your value for *z* to two decimal places and round your
*P*-value to four decimal places.)

z |
= | |

P-value |
= |

State your conclusion.

a.There is sufficient evidence to conclude that the two proportions are different.

b.There is not sufficient evidence to conclude that the two proportions are different.

Answer #1

To what extent do syntax textbooks, which analyze the structure
of sentences, illustrate gender bias? A study of this question
sampled sentences from 10 texts. One part of the study examined the
use of the words "girl," "boy," "man," and "woman." We will call
the first two words juvenile and the last two adult. Is the
proportion of female references that are juvenile (girl) equal to
the proportion of male references that are juvenile (boy)? Here are
data from one...

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