Question
Asked Dec 2, 2019
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Please answer part d

11. For each ofthe following tests of hypotheses, determine whether the null hypotheses
should be rejected. Show all steps and use the critical-value method
a. Ho: 4,000
Ha:u4,000
n 70, 4,150; a=2,600; a= .01
b Ho: μ 60
Ha: μ>60
n 24;65;s=7; a = .05
c. Ho: 500
Ha: <500
n 56 -450; s= 62; a = .03
d Ho: p30
Ha: p>30
a.05; n 250; p 34
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11. For each ofthe following tests of hypotheses, determine whether the null hypotheses should be rejected. Show all steps and use the critical-value method a. Ho: 4,000 Ha:u4,000 n 70, 4,150; a=2,600; a= .01 b Ho: μ 60 Ha: μ>60 n 24;65;s=7; a = .05 c. Ho: 500 Ha: <500 n 56 -450; s= 62; a = .03 d Ho: p30 Ha: p>30 a.05; n 250; p 34

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Expert Answer

Step 1

d.

 

Null hypothesis:

 

H0p=0.30.

 

Alternative hypothesis:

 

Hap>0.30.

 

From the given information, the sample size is, n =250 and the sample proportion is  =0.34.

 

Test Statistic:

 

The test statistic is 1.38 and it is calculated below:

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Р-р test p(1-p) п 0.34 0.30 0.30(1-0.30) 250 0.04 0.0289 1.38

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Step 2

Critical value:

 

From the standard normal table. the critical value corresponding with 0.05 and right tail test is 1.645.

 

Rejection Rule:

 

If zcal is greater than the critical value, then reject the null hypothesis.

If zcal is lesser than or equal to the critical value, then do not reject the null hypothesis.

 

Conclusion:

 

The t...

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Hypothesis Testing

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