Question

Sixty-nine voters from a sample of 100 indicated that they favored casino gambling in their city. The city council is interested in finding out whether or not there is a significant difference between the proportions of those favoring and not favoring casino gambling in their community. Use the normal approximation to the Binomial, and conduct a two-tailed test at the .05 significance level. Suppose that favoring casino was given a "+" sign and not-favoring casino a "-" sign. What is the value of test statistic?

Select one:

A. z = 2.70

B. z = 0.37.

C. z = - 3.70

D. z = 3.70

Answer #1

Answer)

N = 100

P = 0.5 (claimed p as if both are equal then p should be 0.5)

First we need to check the conditions of normality that is if n*p and n*(1-p) both are greater than 5 or not

N*p = 50

N*(1-p) = 50

Both the conditions are met so we can use standard normal z table to estimate the P-Value

Test statistics z = (oberved p - claimed p)/standard error

Standard error = √{claimed p*(1-claimed p)/√n

Observed p = 69/100 = 0.69

Claimed p = 0.5

Z = 3.8

3.7 is the closest one

The Town of Normal offers a curbside recycling to residents in
single family and duplex homes. Curbside recycling is collected
weekly on a regular trash collection day. Twenty-one residents from
a sample of 30 indicated that they favored curbside recycling in
their city. The city council is interested in finding out whether
or not there is a significant difference in the favoring and not
favoring curbside recycling in their community. Use the normal
approximation to the Binomial, and conduct a...

The Town of Normal offers a curbside recycling to residents in
single family and duplex homes. Curbside recycling is collected
weekly on a regular trash collection day.
Twenty-one residents from a sample of 30 indicated that they
favored curbside recycling in their city. The city council is
interested in finding out whether or not there is a significant
difference in the favoring and not favoring curbside recycling in
their community. Use the normal approximation to the Binomial, and
conduct a...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 16 minutes ago

asked 16 minutes ago

asked 26 minutes ago

asked 31 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago