For the given binomial sample size and null-hypothesized value of p0, determine whether the sample size is large
enough to use the normal approximation methodology to conduct a test of the null hypothesis $\mathrm { H } _ { 0 } : \mathrm { p } = \mathrm { P } 0$
-Consider the following printout. HYPOTHESIS: VARIANCE $X = x$
$X = \text { gpa }$
SAMPLE MEAN OF $X = 2.3827$
SAMPLE VARIANCE OF $X = .18000$
SAMPLE SIZE OF $X = 209$
HYPOTHESIZED VALUE $( x ) = 2.5$
VARIANCE $\mathrm { X } - \mathrm { x } = - .1173$
$z = - 3.99701$
Suppose we tested $H _ { \mathrm { a } } : \mu < 2.5$ . Find the appropriate rejection region if we used $\alpha = .05$ .

Question

For the given binomial sample size and null-hypothesized value of p0, determine whether the sample size is large
enough to use the normal approximation methodology to conduct a test of the null hypothesis

\mathrm { H } _ { 0 } : \mathrm { p } = \mathrm { P } 0

-Consider the following printout. HYPOTHESIS: VARIANCE

X = x

X = \text { gpa }

SAMPLE MEAN OF

X = 2.3827

SAMPLE VARIANCE OF

X = .18000

SAMPLE SIZE OF

X = 209

HYPOTHESIZED VALUE

( x ) = 2.5

VARIANCE

\mathrm { X } - \mathrm { x } = - .1173

z = - 3.99701

Suppose we tested

H _ { \mathrm { a } } : \mu < 2.5

. Find the appropriate rejection region if we used

\alpha = .05

.

Quizplus · Accepted Answer

For a one-tailed test with $\alpha = 0.05$, the critical value for rejection is $z < -1.645$. Since the alternative hypothesis is $H_a: \mu < 2.5$, we use the left tail of the normal distribution.

For the Given Binomial Sample Size and Null-Hypothesized Value of P0