Question

Calculate:

PART A: At least 68% of people support legalizing gay marriage. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage).

H0:pH0:p

H1:pH1:p

Use the following codes to enter the following symbols:
     ≥≥ enter >=
     ≤≤ enter <=
     ≠≠ enter !=

PART B: The mean weight of male aerobics instructors in a certain city is at most 165 lbs. Express the null and alternative hypotheses in symbolic form for this claim.

H0:μH0:μ

H1:μH1:μ

Use the following codes to enter the following symbols:
     ≥≥ enter >=
     ≤≤ enter <=
     ≠≠ enter !=

PART C:   The mean weight of female nurses working at a local hospital is less than 152 lbs. Express the null and alternative hypotheses in symbolic form for this claim.

H0:μH0:μ

H1:μH1:μ

Use the following codes to enter the following symbols:
     ≥≥ enter >=
     ≤≤ enter <=
     ≠≠ enter !=

Answer 1

Solution :

Part A)

This is the left tailed test .

The null and alternative hypothesis is

H₀ : p 68%

H_a : p < 68%

Part B)

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H₀ :   165

H_a : > 165

Part C)

Solution :

This is the left tailed test .

The null and alternative hypothesis is ,

H₀ :   152

H_a : < 152