Questions Please provide full solutions to the following problems. 1. A sample o

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Questions Please provide full solutions to the following problems. 1. A sample of n 75 UK students is taken by the Kentucky Kernel, and each one is asked, "Does knowing that many of the basketball players Kentucky recruits will go pro after one year affect your sense of attachment to the team?" Suppose 60% in your sample said, "Yes, it does affect my attachment." Is it safe for the Kernel to report that a majority of all UK students are likely to feel that way? Decide between Hop s 0.50 and HA: p > 0.50. Assume a Type 1 error rate of ? 0.05. Report a p-value, state what your decision is, and explain w A newspaper took a random sample of 1,200 registered voters and found that 925 would vote for the Democratic candidate for governor. Is this evidence that more than of the entire voting population would vote for the Democrat? Assume a Type I error rate of a 0.05. What are Ho and Ha? Report a p-value, state what your decision is, and explain why. 2.

Explanation / Answer

Ans:

1)

Test statistic:

z=(0.6-0.5)/sqrt(0.5*(1-0.5)/75)

z=1.732

p-value=P(z>1.732)=0.0416

As,p-value<0.05,we reject the null hypothesis.

There is sufficient evidence to conclude that a majority of UK students are likely to feel that way.

2)

H0:p<=0.75

Ha:p>0.75

Sample proportion=925/1200=0.771

Test statistic:

z=(0.771-0.75)/sqrt(0.75*(1-0.75)/1200)

z=1.67

p-value=P(z>1.67)=0.0478

As,p-value<0.05,we reject the null hypothesis.

There is sufficient evidence to conclude that more than 3/4 of entire voting population would vote for the democrat.

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