Question 1We took a sample from a population of gophers. The proportion of gophe

Question 1We took a sample from a population of gophers. The proportion of gophers in our sample who had brown fur was 0.55 with a standard error of 0.10. What is the lower limit of the 95% confidence interval for the proportion of gophers with brown fur?0.750.350.400.4450.45Question 2A researcher wants to study the spending habits of customers of a local shopping mall. The mall manager claims that the average spending per customer is $70 but the researcher believes that the average is less than $70. A simple random sample of 350 shoppers is obtained. The sample average is $65 and the sample SD is $27. Find the alternative hypothesis.the population average is greater than $70none of thesethe population average is less than $70the sample average is less than $70the population average is $70Question 3A researcher wants to study the spending habits of customers of a local shopping mall. The mall manager claims that the average spending per customer is $70 but the researcher believes that the average is less than $70. A simple random sample of 350 shoppers is obtained. The sample average is $65 and the sample SD is $27. Find the null hypothesis.the sample average is less than $70the population average is $70none of thesethe population average is greater than $70the population average is less than $70Question 4A researcher wants to study the spending habits of customers of a local shopping mall. The mall manager claims that the average spending per customer is $70 but the researcher believes that the average is less than $70. A simple random sample of 350 shoppers is obtained. The sample average is $65 and the sample SD is $27. Find the SE for the sample average.1.341.445.082.911.27