Question

You are testing:

H0:μ=34.95
H1:μ≠34.95

Your sample consists of 68 subjects, with a mean of 34.8 and the (population) standard deviation is known and equals 2.3.

Calculate the test statistic BY HAND:

Test statistic =  (round to 4 decimal places)

A well-known brokerage firm executive claimed that 40% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 200 people, 42% of them said they are confident of meeting their goals.

Test the claim that the proportion of people who are confident is larger than 40% at the 0.05 significance level.

The null and alternative hypothesis would be:

• H0:μ≤0.4H0:μ≤0.4
  Ha:μ>0.4Ha:μ>0.4
• H0:p=0.4H0:p=0.4
  Ha:p>0.4Ha:p>0.4
• H0:p=0.4H0:p=0.4
  Ha:p<0.4Ha:p<0.4
• H0:p=0.4H0:p=0.4
  Ha:p≠0.4Ha:p≠0.4
• H0:μ=0.4H0:μ=0.4
  Ha:μ≠0.4Ha:μ≠0.4
• H0:μ≥0.4H0:μ≥0.4
  Ha:μ<0.4Ha:μ<0.4

The test is:

two-tailed

left-tailed

right-tailed

The test statistic is:  (to 3 decimals)

The p-value is:  (to 4 decimals)

Based on this we:

• Reject the null hypothesis
• Fail to reject the null hypothesis

Answer 1

thank you.