QUESTION 6

A company makes new kale flavoured energy drink and gives it to a sample of 50 people to try and then say whether they would buy it.Assume that it will only be profitable to market this drink if more than 10% of people say they would buy it.Let p denote the population proportion of people who would buy the drink and assume the company is looking for eivdence that more than 10% of people will buy the drink.

If 6 of the 50 people in the sample say say they would buy it (ie p with hat on top equals bevelled 6 over 50 space equals 0.12) then which of the following calculations would give the observed value of the test statistic?

a.

fraction numerator 0.12 space minus space 0.1 over denominator square root of begin display style bevelled fraction numerator 0.12 space asterisk times 0.88 over denominator 50 end fraction end style end root end fraction

b.

fraction numerator 0.12 space minus space 0.1 over denominator square root of begin display style bevelled fraction numerator 0.1 space asterisk times 0.9 over denominator 50 end fraction end style end root end fraction

c.

fraction numerator 0.1 space minus space 0.12 over denominator square root of begin display style bevelled fraction numerator 0.12 space asterisk times 0.88 over denominator 50 end fraction end style end root end fraction

d.

fraction numerator 0.12 space minus space 0.1 over denominator begin display style bevelled fraction numerator open parentheses square root of 0.1 asterisk times 0.9 end root close parentheses over denominator 50 end fraction end style end fraction

QUESTION 9

If a 1 tailed t-test gave a p-value of 0.05, what would be the p-value if we had run the test as a 2-tailed test?

QUESTION 10

If I reject H0 when H0 is true, what sort of error have I made?

QUESTION 2

A lunch bar has an average sales amount of $8.73.The manager initiates staff training to try to get them to sell more extras (chips, drinks etc), and after this training, a sample of 58 customers had the following sample statistics:

top enclose x space equals space9.21 and s = 2.94

Assume our question of interest is: "is there significant evidence that the mean amount spent by customers has increased?"Calculate the observedvalue of the test statistic (correct to 2dp).