Exam Question 11 Given below is a parameter and a statistic…
Exam Question 11 Given below is a parameter and a statistic based on data taken by institutional research at Chaffey College. During Spring 2021 at Chaffey College, the student success rate was 65%. You randomly surveyed 180 students taking classes at Chaffey College in Spring 2022 and found that 113 were successful. Write a claim about the parameter using the statistic as a guide. Write a sentence to describe the population parameter. Write the hypotheses in mathematical notation. Based on the alternative hypothesis, what type of test should be used to find the P-value? Determine if the sampling distribution of sample proportions is approximately normal. Justify your answer with a calculation. Compute the sample proportion. Round to three decimal places if necessary. Compute the test statistic rounded to two decimal places and use it to find the P-value rounded to four decimal places. Include your desmos formulas/work. Make a conclusion about the hypotheses based on a 5% level of significance. State a conclusion in plain language. Based on your conclusion, what type of error might have been made? Write the error in the context of the problem.
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