for each of the foloowing identify what is being tested a p

for each of the foloowing.

- identify what is being tested, a proportion, mean, variance or standard deviation.

-write the claim and its opposite using appropriate statistical notation.

- identify which is the nukk hypothesis and what is the alternative hypothesis.

- state whether the test is two tailed, right tailed, or left tailed, and give reson.

A. a researchrs wants to test the claim that a majority of US citizens opposes legislation that would prohibit private citizens from owning automatic weapons. A poll of 1000 citizens is taken and the sample proportion is calculated to 42%.

B. A manufacturer of sugar pakets claims that all of its pakets have a mean weight of at lest 4.8 grams. A consymer organization wants to test this clame. The organization collects a sample of 30 pakets and find a sample mean of 4.6 grams with a standard deviation of 0.7 grams.

C. A public health facility is comparing variability in the manufacture of a certain drug. the \"name brand\" that has long been used for a particular medical problem has a standard deviation of 0.35 mg per does. The recently available generic drug is believed to have a higher standard deviation . Test the claim that the standard deviation of the generic is not greater than that of the name brand drug.

Solution

a)

Tested: Proportion (see 42%)

Claim: p > 0.50 ; Opposite: p <= 0.50

Ho: p <= 0.50; Ha: p > 0.50

It is right tailed as Ha used >.

****************

b)

Tested: Mean

Claim: u > 4.8 g ; Opposite: u <= 4.8 g

Ho: u >= 4.8 g ; Ha: u < 4.8 g

It is left tailed as Ha used <.

****************

c)

Tested: Standard deviation

Claim: sigma > 3.5 mg per dose ; Opposite: sigma <= 3.5 mg per dose

Ho: sigma <= 3.5 mg/dose ; Ha: sigma > 3.5 mg/dose

It is right tailed are Ha used >.