# Multiple choice

Question 1

We 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?

0.75

0.35

0.40

0.445

0.45

Question 2

A 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 $70

none of these

the population average is less than $70

the sample average is less than $70

the population average is $70

Question 3

A 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 $70

the population average is $70

none of these

the population average is greater than $70

the population average is less than $70

Question 4

A 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.

1.34

1.44

5.08

2.91

1.27