Question

Given p^ = 0.4571 and N = 35 for the high income group,

Test the claim that the proportion of children in the high income group that drew the nickel too large is smaller than 50%. Test at the 0.1 significance level.

a) Identify the correct alternative hypothesis:

• p=.50p=.50
• p>.50p>.50
• μ>.50μ>.50
• μ=.50μ=.50
• p<.50p<.50
• μ<.50μ<.50

Correct

Give all answers correct to 3 decimal places.

b) The test statistic value is: −.507  

c) Using the P-value method, the P-value is: 0.305

d) Based on this, we

• Reject H0H0
• Fail to reject H0H0

Correct

e) Which means

• There is not sufficient evidence to support the claim
• The sample data supports the claim
• There is not sufficient evidence to warrant rejection of the claim
• There is sufficient evidence to warrant rejection of the claim

Answer 1

given data are:-

sample proportion () = 0.4571

sample size (n) = 35

a).hypothesis:-

[ alternative hypothesis ]

b).the test statistic is:-

c).the p value is :-

[ as this is a left tailed test ]

[ in any blank cell of excel type =NORMSDIST(-0.508)]

d).decision:-

p value = 0.306 >0.1 (alpha)

so, we fail to reject H₀.

e).conclusion:-

There is not sufficient evidence to support the claim.

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