Question

In lobbying Congress for action to correct the ozone depletion problem, the environmental group Save Planet Earth claims that 70% of the population supports the ban on household aerosols. In a survey by Media General and the Associated Press, 150 of the 200 respondents indicated support for a ban on household aerosols. Test the claim, at the 1% significance level, that more than 70% of the population supportsthe ban on household aerosols.

Answer 1

There is no statistical evidence to support the claim, at the 1% significance level, that more than 70% of the population supportsthe ban on household aerosols

Explanation:

`H_0: p = 0.70\\H_a: p > 0.70`

(right tailed test for proportion at 1% significance level)

Sample proportion p=
`(150)/(200) =0.75`

p difference = -0.05

Std error for p =
`\sqrt{(pq)/(n) } \\=\sqrt{(0.7*0.3)/(200) } \\=0.0324`

Test statistic z = p diff/std error

= -1.543

p value = 0.0614

since p >0.01 our alpha we accept H0

There is no statistical evidence to support the claim, at the 1% significance level, that more than 70% of the population supportsthe ban on household aerosols