Express the null hypothesis and the alternative hypothesis in symbolic form for a test to support this claim. Use the correct symbol (, p, ) for the indicated parameter.

1) An entomologist writes an article in a scientific journal that claims that fewer than 16 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies unable to produce light.

A) H0: p = 0.0016 H1: p < 0.0016

B) H0: p = 0.0016 H1: p > 0.0016

C) H0: p < 0.0016 H1: p L 0.0016

D) H0: p > 0.0016 H1: p K 0.0016

2) A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness. Use p, the true percentage of the population that suffers from extreme shyness.

A) H0: p < 5.8% H1: p L 5.8%

B) H0: p > 5.8% H1: p K 5.8%

C) H0: p = 5.8% H1: p > 5.8%

D) H0: p = 5.8% H1: p < 5.8%

3) A researcher claims that 62% of voters favor gun control.

A) H0: p L 0.62 H1: p < 0.62

B) H0: p = 0.62 H1: p J 0.62

C) H0: p J 0.62 H1: p = 0.62

D) H0: p < 0.62 H1: p L 0.62

4) The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, , of 48F, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator manufacturer and claims he can prove that the true mean temperature is incorrect.

A) H0: K 48 H1: > 48

B) H0: = 48 H1: J 48

C) H0: L 48 H1: < 48

D) H0: J 48 H1: = 48

5) The owner of a football team claims that the average attendance at games is over 68,800, and he is therefore justified in moving the team to a city with a larger stadium.

A) H0: = 68,800 H1: > 68,800

B) H0: > 68,800 H1: K 68,800

C) H0: = 68,800 H1: < 68,800

D) H0: < 68,800 H1: L 68,800

6) The principal of a middle school claims that test scores of the seventh-graders at her school vary less than the test scores of seventh-graders at a neighboring school, which have variation described by = 14.7.

A) H0: = 14.7 H1: > 14.7

B) H0: > 14.7 H1: K 14.7

C) H0: < 14.7 H1: > 14.7

D) H0: = 14.7 H1: < 14.7