An auto parts manufacturer claims that less than 12% of thei…

An auto parts manufacturer claims that less than 12% of their batteries will need to be replaced within the first year. A lawsuit challenges that claim, saying that out of 638 reported purchases, 103 of them needed to be replaced within the first year. Perform the hypothesis test for the sample data. What is the p-value? Round your answer to three decimal places.

Out of a sample of 162 high school students, 89 struggle wit…

Out of a sample of 162 high school students, 89 struggle with math, and out of a sample of 136 college students, 47 struggle with math. You wish to test the hypothesis that high school students are more likely to struggle with math than college students. Perform the appropriate hypothesis test. State the appropriate conclusion, based on the p-value, for a 95% level of confidence.

The average order on Amazon is for $47.31, with a standard d…

The average order on Amazon is for $47.31, with a standard deviation of $4.83.  If the average orders are compared for a sample of 500 customers, what is the probability that the sample will have an average order of $50 or more? Round your answer to three decimal places.

Suppose a survey of 912 cars listed for sale in Florida in 2…

Suppose a survey of 912 cars listed for sale in Florida in 2020 finds an average price of $13,800 with a standard deviation of $3,140. Construct a 90% confidence interval for the average price. What is the upper end of the confidence interval? Round your answer to the nearest car.

Out of a sample of 162 high school students, 89 struggle wit…

Out of a sample of 162 high school students, 89 struggle with math, and out of a sample of 136 college students, 47 struggle with math. You wish to test the hypothesis that high school students are more likely to struggle with math than college students. Perform the appropriate hypothesis test.  What is the p-value?  Round your answer to three decimal places.

Suppose on average, 63% of college students do not get enoug…

Suppose on average, 63% of college students do not get enough sunlight. A college claims their spacious campus design causes less than 50% of its 6,300 students to not receive enough sunlight.  If we wanted to do a hypothesis test of that claim, what could be our null and alternate hypotheses?