Suppose the national average dollar amount for an automobile insurance claim is $973.04. You work for an agency in Michigan and you are interested in whether or not the state average is greater than the national average. The hypotheses for this scenario are as follows: Null Hypothesis: μ ≤ 973.04, Alternative Hypothesis: μ > 973.04. You take a random sample of claims and calculate a p-value of 0.3431 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.   Question 10 options:   1)  We did not find enough evidence to say the true average claim amount is less than $973.04.   2)  We did not find enough evidence to say a significant difference exists between the true average claim amount and $973.04.   3)  The true average claim amount is less than or equal to $973.04.   4)  The true average claim amount is significantly higher than $973.04.   5)  We did not find enough evidence to say the true average claim amount is higher than $973.04.

Members of the city council want to know if a majority of city residents supports a 1% increase in the sales tax to fund road repairs. To investigate, they survey a random sample of 300 city residents and use the results to test the following hypotheses: Họ: p = 0.50 Hip > 0.50 where pis the proportion of all city residents who support a 1% increase in the sales tax to fund road repairs. In the sample, p = 158/300 = 0.527. The resulting P-value is 0.18. What is the correct interpretation of this P-value? Assuming that 50% of residents support the tax increase, there is an 18% probability that the sample proportion would be 0.527 or greater by chance alone. There is an 18% chance that the majority of residents supports the tax increase. Assuming that 50% of residents support the tax increase, there is an 18% chance that the null hypothesis is true by chance alone. Assuming that more than 50% of residents support the tax increase, there is an 18% probability that the sample proportion…

1. Identify the null and alternative hypotheses 2. Compute the t-statistic 3. Find the p-value

Based on historical data in Oxnard college, we believe that 30% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to estimate the proportiton of freshmen who do not visit their counselors regularly. You would like to be 99% confident that your estimate is within 1% of the true population proportion. How large of a sample size is required? Do not round mid-calculation.