# Statistics

posted by .

How do I do this? I am very lost.

If you live in California, the decision to buy earthquake insurance is an important one. A survey revealed that only 133 of 337 randomly selected residences in one California county were protected by earthquake insurance. Calculate the appropriate test statistic to test the hypotheses that at least 40% buy the insurance.

• Statistics -

Null hypothesis:
Ho: p = or > .40 -->meaning: population proportion is equal to or greater than .40
Alternative hypothesis:
Ha: p < .40 -->meaning: population proportion is less than .40

Using a formula for a binomial proportion one-sample z-test with your data included, we have:
z = .39 - .40 -->test value (133/337 = .39) minus population value (.40)
divided by √[(.40)(.60)/337]
Note: .60 = 1 - .40

I'll let you finish the calculation.
Hint: Null will not be rejected. You can draw your conclusion from there.

• Statistics -

In a recent survey, 70% of the community favored building a haelth center in their neighborhood. If 14 citizens are chosen, find the probabilty that exactl 6 of them favore the building of the health center.

• Statistics -

On your TI-84 Calculator Press "2nd" "VARS" for the [Distr] menu. Scroll down to binompdf( and press enter

Then enter in this order

binompdf(14,0.70,6) = 0.023

## Similar Questions

1. ### Geology--location of the university

Is University of California, Riverside situated in Southern California or Northern California?

If I want to live in the state of California in the future, there is one concern that I have. Since most of California's major cities are fairly close to the San Andreas fault line, I can expect earthquakes. Are all the buildings earthquake-proof?
3. ### Math

Here is a question that I am really stuck on and I need some help!!: In the Unites States, about one person in eight lives in California. To the nearest percent, what percent of people in the Unites States live in California?
4. ### math

The results of a recent television survey of American TV households revealed that 80 out of every 100 TV households have at least one remote control. What is the probability that a randomly selected TV household does not have at least …
5. ### Sentences

Are my sentences correct with the following directions?
6. ### statistics

According to the Current Population Survey of the Census Bureau, 67% of children live with both parents, 23% live with their mother only, and 5% live with their father only. The rest live with neither parent. If we choose a child at …
7. ### statistics

According to the Current Population Survey of the Census Bureau, 67% of children live with both parents, 23% live with their mother only, and 5% live with their father only. The rest live with neither parent. If we choose a child at …
8. ### Statistics

A researcher believes that the percentage of people who exercise in California is greater than the national exercise rate. The national rate is 20%. The researcher gathers a random sample of 120 individuals who live in California and …
9. ### Statistics

An automatic machine in a manufacturing process is operating properly if the length of an important subcomponent is normally distributed with a mean μ = 80 cm and a standard deviation σ = 2 cm. a) Find the probability that …
10. ### statistics

28. From a group consisting of 8 married couples, one man and one woman are to be selected. The probability that the man and woman selected are husband and wife if the selection is equally likely is (a) 5% (b) 50% (c) 12.5% (d) 8.5% …

More Similar Questions