This assignment covers two-sample hypothesis tests. As with Calculator HW 5, our goal is to understand the five step method of hypothesis testing, as well as the calculator functions.     Your work must include:

1. Clear statement of hypotheses, with the correct parameter(s)
2. An indication of the test used
3. The test statistic and p-value
4. An indication of the statistical decision (i.e. whether or not to reject Ho)
     along with an explanation.
5. An interpretation of the statistical decision in the context of the problem.

Q2. Parents of teenage boys often complain that auto insurance costs more, on average, for teenage boys than for teenage girls. A group of concerned parents examines a random sample of insurance bills. The mean annual cost for 36 teenage boys was $679. For 23 teenage girls, it was $559. From past years, it is known that auto insurance rates are normally distributed for both boys and girls, and the population standard deviation for each group is s = $180. At the .01 significance level, does this data provide evidence that the mean cost for auto insurance for teenage boys is greater than that for teenage girls?

Researchers in a populous country contacted more than​ 25,000 inhabitants aged 23 years to see if they had finished high​ school; 85.9 % of the 12 comma 983 males and 80.2​% of the 12 comma 921 females indicated that they had high school diplomas. ​a) What assumptions are necessary to satisfy the conditions necessary for​ inference? ​b) Create a 95​% confidence interval for the difference in graduation rates between males and​ females, p Subscript males Baseline minus p Subscript females. ​c) Interpret your confidence interval. ​d) Is there evidence that boys are more likely than girls to complete high​ school?

1. Childhood obesity: A national healthy survey weighed a sampled of 546 boys aged 6-11 and found that 74 of them were overweight. They weighed a sample of 455 girls aged 6-11 and found that 75 of them were overweight. Can you conclude that the proportion of boys who are overweight is less than the proportion of girls who are overweight? Use the α =0.10 level of significance

1. State the null and alternative hypothesis

2. Compute the p-value and Testing Value

3. Do you reject the null hypothesis? Explain?

4. Can you conclude that the proportion of boys who are overweight is less than the proportion of girls who are overweight

Do 9-year-old boys and girls have different average height? Please answer the question by performing an appropriate hypothesis test at the 10% significance level based on the sample results below:

Boys: n1= 60, 1x=123, S1= 10

Girls: n2= 50, 1x=126, S2= 1

Do 9-year-old boys and girls have different average height? Please answer the question by performing an appropriate hypothesis test at the 10% significance level based on the sample results below:

Boys: n1= 60, 1x=123, S1= 10

Girls: n2= 50, 1x=126, S2= 1

11) According to an article in Newsweek, the natural ratio of girls to boys is 100:105. In China, the birth ratio is 100:114 (46.7% girls). Suppose you don't believe the reported figures of the percent of girls born in China. You conduct a study. In this study, you count the number of girls and boys born in 150 randomly chosen recent births. There are 61 girls and 89 boys born of the 150. Based on your study, do you believe that the percent of girls born in China is 46.7? Conduct a hypothesis test at the 5% level.

1. State the distribution to use for the test. (Round your answers to four decimal places.)

P' ~

2. What is the test statistic? In z distribution round your answers to two decimal places

3. What is the p-value? (Round your answer to four decimal places.)

4. Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.)

please explain how from birth boys and girls are often treated differently, first in how they are dressed, parent-child interactions and the toys they are provided. Although historically treating boys and girls differently may have been helpful in directing them towards their traditional roles, considering many women are now becoming single mothers and both men and women are desiring a larger choice in jobs, not necessarily the gender stereotypical jobs, can you please discuss how this childhood socialization may not be helpful in the new direction we are trying to head in. What can be done to encourage more equality in the genders and do we want it? Please explain.

please explain how from birth boys and girls are often treated differently, first in how they are dressed, parent-child interactions and the toys they are provided. Although historically treating boys and girls differently may have been helpful in directing them towards their traditional roles, considering many women are now becoming single mothers and both men and women are desiring a larger choice in jobs, not necessarily the gender stereotypical jobs, can you please discuss how this childhood socialization may not be helpful in the new direction we are trying to head in. What can be done to encourage more equality in the genders and do we want it? Please explain.

Baby weights: Following are weights in pounds for random samples of

19

newborn baby boys and baby girls born in Denver in

2011

. Boxplots indicate that the samples come from populations that are approximately normal. Let

μ1

denote the mean weight of boys and

μ2

denote the mean weight of girls. Can you conclude that the mean weights differ between boys and girls? Use the

=α0.10

level and the

P

-value method with the table.

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State the appropriate null and alternate hypotheses.