Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justic Department, 70% of all arrests are of males aged 15 to 34 yearst. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 35 arrests last month, 26 were of males aged 15 to 34 years. Use a 5% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%. (a) What is the level of significance? State the null and alternate hypotheses. O Ho:p # 0.7; H,: p = 0.7 O Ho:p = 0.7; H,: p > 0.7 O Ho: P = 0 .7; H,: p < 0.7 O Ho: p < 0 .7; H;: p = 0.7 O Ho: p = 0.7; H;: p # 0.7 (b) What sampling distribution will you use? O The standard normal, since np > 5 and ng > 5. The standard normal, since np < 5 and ng < 5. The Student's t, since np > 5 and ng > 5. The Student's t, since np < 5 and ng < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.)

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A: We will understand the given situation as  A={75% of students who took SAT} A={40% of students who…

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A: Other expert has solved part b. Here We include part a answer.

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Q: ARE YOU SURE ABOUT PART 2 ?

A: which is constant.

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Q: Could you explain part(b) as well?

A: Our objective is given below:

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.