Select the correct hypothesis. Ho p = 0.488 versus Ha: p < 0.488. Ho p ≤ 0.467 versus Ha: p > 0.467. 0.467. : O Ho: p=0.467 versus Hap O Ho: p = 0.488 versus Ha: p = 0.488. (b) State the conditions that allow Normal approximation to the sampling distribution of p and check if the conditions are satisfied. (c) Under Ho, what are the mean and variance of p.

MATLAB: An Introduction with Applications
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Question 2. In Aedirn, a fictional country, it is believed that the natural ratio of girls to boys
is 100:105 (48.8% girls). You don't believe the reported figures of the percentage of girls
born in Aedirn. So, you counted the number of girls and boys born in 107 randomly chosen
recent births and found that there are 50 girls and 57 boys (46.7% girls). Using this data,
you want to know whether the ratio, 100:105, is reliable.
(a) Select the correct hypothesis.
Ho p= 0.488 versus Hap<0.488.
:
Ho p ≤ 0.467 versus Ha p > 0.467.
:
Ho p = 0.467 versus Hap‡ 0.467.
Ho p= 0.488 versus Hap‡ 0.488.
(b) State the conditions that allow Normal approximation to the sampling distribution of p
and check if the conditions are satisfied.
(c) Under Ho, what are the mean and variance of p.
(d) Test Ho at the significance level a = 0.1.
Transcribed Image Text:Question 2. In Aedirn, a fictional country, it is believed that the natural ratio of girls to boys is 100:105 (48.8% girls). You don't believe the reported figures of the percentage of girls born in Aedirn. So, you counted the number of girls and boys born in 107 randomly chosen recent births and found that there are 50 girls and 57 boys (46.7% girls). Using this data, you want to know whether the ratio, 100:105, is reliable. (a) Select the correct hypothesis. Ho p= 0.488 versus Hap<0.488. : Ho p ≤ 0.467 versus Ha p > 0.467. : Ho p = 0.467 versus Hap‡ 0.467. Ho p= 0.488 versus Hap‡ 0.488. (b) State the conditions that allow Normal approximation to the sampling distribution of p and check if the conditions are satisfied. (c) Under Ho, what are the mean and variance of p. (d) Test Ho at the significance level a = 0.1.
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