A newspaper story headline reads "Gender Plays Part in Monkeys' Toy Choices, Research Finds-Like Humans, Male Monkeys Choose Balls and Cars, While Females Prefer Dolls and Pots."t The article goes on to summarize findings published in the paper "Sex Differences in Response to Children's Toys in Nonhuman Primates."† Forty-four male monkeys and 44 female monkeys were each given a variety of toys, and the time spent playing with each toy was recorded. The table gives means and standard deviations (approximate values read from graphs in the paper) for the percentage of the time that a monkey spent playing with a particular toy. Assume that it is reasonable to regard these two samples of 44 monkeys as representative of the populations of male monkeys and of female monkeys. Use a 0.05 significance level for any hypothesis tests that you carry out when answering the various parts of this exercise. (Use u, for male monkeys and u, for female monkeys.) Percent of Time Female Monkeys Male Monkeys Sample Mean Sample Standard Sample Mean Sample Standard Deviation n Deviation Police Car 44 44 17 4 Тoy Doll 44 21 44 8 Furry Dog 44 19 44 26 n USE SALT "masculine" toy. Do these data provide convincing evidence that the mean percentage of the time spent playing with the police car is greater for male monkeys (a) The police car was considered than for female monkeys? State the appropriate null and alternative hypotheses. O Ho: H1 - 42 > 0 Hi H1 - H2 = 0 O Ho: H1 - 42 0 O Hoi Hq- Hz = 0 H,: H1 - H2 > 0 O Ho: H1 - 42 = 0 H: H, - H, < 0

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A newspaper story headline reads "Gender Plays Part in Monkeys' Toy Choices, Research Finds—Like Humans, Male Monkeys Choose Balls and Cars, While Females Prefer Dolls and Pots."† The article goes on to summarize findings published in the paper "Sex Differences in Response to Children's Toys in Nonhuman Primates."† Forty-four male monkeys and 44 female monkeys were each given a variety of toys, and the time spent playing with each toy was recorded. The table gives means and standard deviations (approximate values read from graphs in the paper) for the percentage of the time that a monkey spent playing with a particular toy. Assume that it is reasonable to regard these two samples of 44 monkeys as representative of the populations of male monkeys and of female monkeys. Use a 0.05 significance level for any hypothesis tests that you carry out when answering the various parts of this exercise. (Use ?1 for male monkeys and ?2 for female monkeys.)

A newspaper story headline reads "Gender Plays Part in Monkeys' Toy Choices, Research Finds-Like Humans, Male Monkeys Choose Balls and Cars, While Females Prefer Dolls and Pots."t The article
goes on to summarize findings published in the paper "Sex Differences in Response to Children's Toys in Nonhuman Primates."t Forty-four male monkeys and 44 female monkeys were each given a
variety of toys, and the time spent playing with each toy was recorded. The table gives means and standard deviations (approximate values read from graphs in the paper) for the percentage of the
time that a monkey spent playing with a particular toy. Assume that it is reasonable to regard these two samples of 44 monkeys as representative of the populations of male monkeys and of female
monkeys. Use a 0.05 significance level for any hypothesis tests that you carry out when answering the various parts of this exercise. (Use u, for male monkeys and u, for female monkeys.)
Percent of Time
Female Monkeys
Male Monkeys
Sample
Sample
Mean
Sample
Mean
Sample
Standard
Standard
Deviation
Deviation
Police Car
44
9.
3
44
17
4
Toy
Doll
44
21
3
44
8
Furry Dog
44
19
6.
44
26
n USE SALT
(a) The police car was considered a "masculine" toy. Do these data provide convincing evidence that the mean percentage of the time spent playing with the police car is greater for male monkeys
than for female monkeys?
State the appropriate null and alternative hypotheses.
Ho: H1 - H2> 0
Hai H1- Hz
Hoi Hy- Hz<O
Hai H1- Hz =0
O Ho: H1 - 42 < 0
Ha: H1 - H2 > 0
O Hoi Hq - H2 = 0
Ha: H1 - H2 > 0
O Ho: H1 - H2 = 0
Hạ: H1 - H2 < 0
%3D
Transcribed Image Text:A newspaper story headline reads "Gender Plays Part in Monkeys' Toy Choices, Research Finds-Like Humans, Male Monkeys Choose Balls and Cars, While Females Prefer Dolls and Pots."t The article goes on to summarize findings published in the paper "Sex Differences in Response to Children's Toys in Nonhuman Primates."t Forty-four male monkeys and 44 female monkeys were each given a variety of toys, and the time spent playing with each toy was recorded. The table gives means and standard deviations (approximate values read from graphs in the paper) for the percentage of the time that a monkey spent playing with a particular toy. Assume that it is reasonable to regard these two samples of 44 monkeys as representative of the populations of male monkeys and of female monkeys. Use a 0.05 significance level for any hypothesis tests that you carry out when answering the various parts of this exercise. (Use u, for male monkeys and u, for female monkeys.) Percent of Time Female Monkeys Male Monkeys Sample Sample Mean Sample Mean Sample Standard Standard Deviation Deviation Police Car 44 9. 3 44 17 4 Toy Doll 44 21 3 44 8 Furry Dog 44 19 6. 44 26 n USE SALT (a) The police car was considered a "masculine" toy. Do these data provide convincing evidence that the mean percentage of the time spent playing with the police car is greater for male monkeys than for female monkeys? State the appropriate null and alternative hypotheses. Ho: H1 - H2> 0 Hai H1- Hz Hoi Hy- Hz<O Hai H1- Hz =0 O Ho: H1 - 42 < 0 Ha: H1 - H2 > 0 O Hoi Hq - H2 = 0 Ha: H1 - H2 > 0 O Ho: H1 - H2 = 0 Hạ: H1 - H2 < 0 %3D
(b) The doll was considered a "feminine" toy. Do these data provide convincing evidence that the mean percentage of the time spent playing with the doll is greater for female monkeys than for male
monkeys?
State the appropriate null and alternative hypotheses.
O Ho: H1 - H2 > 0
Ha: H1- H2 = 0
Ho: H1 - 42 < 0
Ha: H1 - H2 = 0
O Ho: H1 - H2 < 0
Hạ: H1 - 42 > 0
O Ho: H1 - H2 = 0
Hạ: H1 - H2 > 0
|
Ho: H1 - 42 = 0
Ha: H1 - H2 < 0
Find the test statistic and P-value. (Use SALT. Round your test statistic to one decimal place and your P-value to three decimal places.)
t =
P-value
State the conclusion in the problem context.
We reject Ho. These data provide convincing evidence that the mean percentage of the time spent playing with the doll is greater for female monkeys than for male monkeys.
We fail to reject Ho. These data provide convincing evidence that the mean percentage of the time spent playing with the doll is greater for female monkeys than for male monkeys.
We fail to reject Ho:
These data do not provide convincing evidence that the mean percentage of the time spent playing with the doll is greater for female monkeys than for male monkeys.
We reject Ho. These data do not provide convincing evidence that the mean percentage of the time spent playing with the doll is greater for female monkeys than for male monkeys.
Transcribed Image Text:(b) The doll was considered a "feminine" toy. Do these data provide convincing evidence that the mean percentage of the time spent playing with the doll is greater for female monkeys than for male monkeys? State the appropriate null and alternative hypotheses. O Ho: H1 - H2 > 0 Ha: H1- H2 = 0 Ho: H1 - 42 < 0 Ha: H1 - H2 = 0 O Ho: H1 - H2 < 0 Hạ: H1 - 42 > 0 O Ho: H1 - H2 = 0 Hạ: H1 - H2 > 0 | Ho: H1 - 42 = 0 Ha: H1 - H2 < 0 Find the test statistic and P-value. (Use SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value State the conclusion in the problem context. We reject Ho. These data provide convincing evidence that the mean percentage of the time spent playing with the doll is greater for female monkeys than for male monkeys. We fail to reject Ho. These data provide convincing evidence that the mean percentage of the time spent playing with the doll is greater for female monkeys than for male monkeys. We fail to reject Ho: These data do not provide convincing evidence that the mean percentage of the time spent playing with the doll is greater for female monkeys than for male monkeys. We reject Ho. These data do not provide convincing evidence that the mean percentage of the time spent playing with the doll is greater for female monkeys than for male monkeys.
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