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1. The correlation between two variables is +0.8 for a sample of 10 observations. We wish to show there is a positive relationship between the two variables. Which of the following is a correct statement of the null hypothesis and the alternate hypothesis (H0 = null hypothesis and Ha = alternative hypothesis)?
A.H0: p = 0, HA: p > 0
B.H0: p = 0, HA: p is not equal to 0
C.H0: p = 0, HA: p < 0
D.Depends on the level of significance
2. Suppose 1,000 of the 2,000 UCLA university professors oppose the US policies in Middle East. Using the 0.95 degree of confidence, the interval estimates for the population proportion is
A.about 0.5 to 0.8.
B.between -1 and +1.
C.between 0 and 1.
D.none of the above.
How large a sample must one take to be 90% confident that the estimate is within 0.05 of the true proportion of women over 55 who are widows?
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Will an SRS of size 1785 usually give a result p-hat within plus or minus 3 percentage points of the true population proportion? Explain.
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At 0.05 level of significance, is there evidence of significant relationship between age group and where people mainly get their news? If so, describe the relationship.
Assuming that the sample was not skewed (i.e. it was normally distributed), about how many exam scores would you expect to fall between the range of 75 to 85?
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