Question

In order to test H_O: p = 0.59 versus H₁: p < 0.59, use n = 150 and x = 78 as your sample proportion.

Using your TI 83/84 calculator device, find the P-value with the appropriate Hypothesis Test

Use a critical level α = 0.01 and decide to Accept or Reject H_O with the valid reason for the decision.

A. My P-value greater than α Alpha, so I Reject Null Hypothesis

B. My P-value greater than α Alpha, so I Accept Null Hypothesis

C. My P-value less than α Alpha, so I Accept Null Hypothesis

D. My P-value less than α Alpha, so I Reject Null Hypothesis

Answer 1

We have given hypothesis as

n = 150

x = 78

Path for Ti -83 and Ti -84 calculator

Press " STAT " key

Select " TESTS "

Select " 1 - PropZtest " Press " Enter "key

p0 = 0.59   ( Value of p for null hypothesis H₀)

x = 78

n = 150

Prop :   < p₀ (We select < p₀ beacuse our H₁ has < sign )

Select " Calculate " press " enter "

Z = Test statistics = -1.743113777

p = p value = 0.0406568295

we have given α = 0.01

Decision rule

H₀: Notation for the null hypothesis

p-value = 0.0406568295   and   α = 0.01

0.0406568295    > 0.01 We do not reject H₀

We are not rejecting H₀ That means we accept H₀

We are not rejecting Nulll hypothesis That means we accept Nulll hypothesis

The correct choice is (B)

My P-value greater than α Alpha, so I Accept the Null Hypothesis

Final answer:-

p = p-value = 0.0406568295

The correct choice is (B)

My P-value greater than α Alpha, so I Accept Null Hypothesis