1. An official of the state department of social services claims that the proportion of 16 -year old girls in Passaic County who are unwed mothers has gone down below ( 20 % ). A social researcher randomly selected 200 girls of the age group and found that 35 of them were unwed mothers. (a) (2 points) State the null hypothesis and alternative hypothesis (b) ( 4 points) Find the test statistic (c) (2 points) If the type-I error ( alpha=0.05 ), find the critical value(s) and shade the rejection region(s) (d) (2 points) Base on the type-I error ( alpha ) and rejection region(s), given above, what is your conclusion?
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Alternative hypothesis (Ha): The proportion of 16-year old girls in Passaic County who are unwed mothers is less than 20%. Show more…
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An official of the state department of social services claims that the proportion of 16-year old girls in Passaic County who are unwed mothers has gone down below 20%. A social researcher randomly selected 200 girls of the age group and found that 35 of them were unwed mothers. (a) State the null hypothesis and alternative hypothesis (b) Find the test statistic (c) If the type-I error ? = 0.05, find the critical value(s) and shade the rejection region(s) (d) Base on the type-I error ? and rejection region(s), given above, what is your conclusion?
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Suppose the null hypothesis is rejected. State the conclusion based on the results of the test. Six years ago, 12.8% of registered births were to teenage mothers. A sociologist believes that the percentage has decreased since then. Which of the following is the correct conclusion? A. There is sufficient evidence to conclude that the percentage of teenage mothers has remained the same. B. There is not sufficient evidence to conclude that the percentage of teenage mothers has remained the same. C. There is not sufficient evidence to conclude that the percentage of teenage mothers has decreased. D. There is sufficient evidence to conclude that the percentage of teenage mothers has decreased.
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For a study of adolescents' disclosure of their dating and romantic relationships, a sample of 213 high school students was surveyed. One of the variables of interest was the level of disclosure to an adolescent's mother (measured on a 5-point scale, where 1 means "never tell" and 5 means "always tell"). The sampled high school students had a mean disclosure score of 3.12 and a standard deviation of 0.89. The researchers hypothesize that the true mean disclosure score of all adolescents will exceed 3. What is the value of the test statistic? α = 0.03. Round your final answer to two decimal places as needed. Do you believe the researchers? Conduct a formal test of hypothesis using α. What are the critical values for this question? Find the rejection region. Make an appropriate conclusion.
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