1. Math
2. Statistics And Probability
3. at least 049 of car crashes occur within 2 miles...

# Question: at least 049 of car crashes occur within 2 miles...

###### Question details

At least 0.49 of car crashes occur within 2 miles of the motorists home.

a) Express the null and alternative hypotheses in symbolic form for this claim.

Ho: p=

Ha:

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

b) You decide to survey 100 adult Americans and find that 10 of car crashes occur within 2 miles of the motorists home. Find the test statistic. Round to two decimal places.

z=z=

c) What is the p-value? Round to 4 decimals.

p=p=

Based on a sample of 700 people, 55% owned cats

The test statistic is:  (to 2 decimals)

The p-value is:  (to 4 decimals)

Based on a sample of 400 people, 87% workers got their job through networking

The test statistic is:  (to 2 decimals)

The p-value is:  (to 4 decimals)

The average student loan debt is reported to be $25,235. A student belives that the student loan debt is higher in her area. She takes a random sample of 100 college students in her area and determines the mean to be$27,524 and the standard devition to be \$6000. Is there sufficient evidence to support the student' claim at a 5% significance level?

a) Determine the null and alternative hypotheses.

H0H0: μ=μ=

HaHa: μμSelect an answer > not = <   (Put in the correct symbol and value)

b) Determine the test statistic. Round to two decimals.

t=t=

c) Find the p-value. Round to 4 decimals.

P-value =

In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level?

a) Determine the null and alternative hypotheses.

H0 p=

HaH: pp

Select an answer not = < >   (Put in the correct symbol and value)

b) Determine the test statistic. Round to two decimals.

z=z=

c) Find the p-value. Round to 4 decimals.

P-value =