12 Decide whether the normal sampling distribution can be us

12

Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of significance

alpha

using the given sample statistics.Claim:

pnot equals0.220.22;

alphaequals=0.100.10;

Sample statistics:

ModifyingAbove p with caretpequals=0.190.19,

nequals=200200

Can the normal sampling distribution be used?

A.

Yes, because pq is greater than

alphaequals=0.100.10.

B.

No, because nq is less than 5.

C.

Yes, because both np and nq are greater than or equal to 5.

D.

No, because np is less than 5.

State the null and alternative hypotheses.

A.

H0:

pequals=0.220.22

Ha:

pnot equals0.220.22

B.

H0:

pless than or equals0.22

Solution

1. Yes the normal sampling distribution be used as pq is greater than =0.10

2. The null and alternative hypotheses are

H0: p = 0.22

Ha: p 0.22