A two-tailed z-test found a test statistic of z = 0.05{“version”:”1.1″,”math”:”z = 0.05″}. At a 5% level of significance, which would the correct decision?

A research team is investigating female dogs. Their research question is: Are more than 80% of female dogs spayed? They collected a random sample of 400 female dogs and 326 of them had been spayed. At the 5% significance level, is there strong enough evidence to conclude that more than 80% of female dogs are spayed?   What is the calculated p-value for this scenario?

Which confidence level would give the narrowest margin of error?

We can assume we are sampling from a normal population if we know which of the following about our sample histogram? 

Honda advertises the 2018 Honda Civic as getting 32 mpg for city driving. A skeptical consumer about to purchase this model believes the mpg is more than the advertised amount and randomly selects 35 2018 Honda Civic owners and asks them what their car’s mpg is. Use a 1% significance level.  Choose the correct hypotheses.

A research team is investigating female dogs. Their research question is: Are more than 80% of female dogs spayed? They collected a random sample of 400 female dogs and 326 of them had been spayed. At the 5% significance level, is there strong enough evidence to conclude that more than 80% of female dogs are spayed?   What is the alternative hypothesis for this scenario?

Calculate the p-value, round your answer to 4 decimal places. A nurse is interested in the average weight of a newborn baby. The nurse collects a random sample of 14 newborn babies. From the sample, she observes an approximately normal histogram and an average of 8.17. The population standard deviation is 2.38. Using a significance level of 10%, test the claim that the average weight of a newborn baby is greater than 7 pounds.

*BONUS QUESTION 4* I am about to run a hypothesis test to test if a majority of SFA students have internet access. I fear a Type I Error more than a Type II Error and set my significance level appropriately. The calculated p-value is 0.0429.   What is the null hypothesis and research hypothesis for this test?

 Match the symbol with the correct phrase.

*BONUS QUESTION* Felix is a quality control expert at a factory that paints car parts. Their painting process consists of a primer coat, color coat, and clear coat. For a certain part, these layers have a combined target thickness of over 150 microns, on average. Felix measured the thickness of 40 randomly selected points on one of these parts to see if it was painted properly. His sample had a mean thickness of 147 microns and the population standard deviation of 3.3 microns. The sample histogram shows a symmetric, bell-shaped curve and the chosen significance level is 4% . Answer the questions below. For full credit, you must include all of the following in the space provided: 1) The appropriate confidence interval. Round your final answers to two decimal places. 2)  Write a sentence interpreting your interval.  3) Based on your interval, is it plausible that this part’s average thickness is meeting the target value? Why or why not? (This does not need to be more than 1-2 sentences.)