conclusion for hypothesis tests

Whether of not the PMCC for the population is greater than zero (h₀ rejected)

There is evidence that the product moment correlation

coefficient is greater than 0

test whether or not the mean length of all the strips, cut by the second machine, is greater than a (h0 not rejected)

There is insufficient evidence that the mean length of strips is

greater than a

Test whether or not the PMCC for all countries is greater than zero (reject h0)

(compare r to critical) so there is evidence that the pmcc is greater than 0/there is positive correlation

carry out a suitable hypothesis test to investigate Stav’s belief [that there is a correlation between Daily Total Sunshine and Daily Maximum Relative Humidity at Heathrow

r [compare to] critical value so significant result and there is evidence of a correlation between Daily Total Sunshine and Daily Maximum Relative Humidity

Some patients complain that the mean is more than given. test wehther or not there is evidence to support the patient’s claim.

compare p to critical value. [ This is significant (< 5%) so ] there is evidence to support the complaint

Kamil claims that the proportion of packets containing a prize is less than p, use a sutiable test to assess kamil’s claim

Significant result or reject H0
there is evidence to support Kamil’s claim

[student claimed that mean height of adult mean from region B is different to that of region A, normally distributed"] use a suitable test to assess the student’s claim

Not sig, do not reject h0
Insufficient evidence to support student’s claim

Test whether or not there is evidence of a negative correlation between the height above the ground and the time during the flight

here is insufficient (o.e.) evidence of a negative

correlation between height (or h ) and time (or t )

comment on whether or not there is evidence at the 5% significance level that the

proportion of the company’s scratchcards that are winning scratchcards is different

from 45% [in a sample of 300 122 are found to be winning ones and you just calculated the probability of this was 0.07]

The probability is greater than 0.025 therefore there is

insufficient evidence at the 5% significance level to suggest that

the proportion is different from 45

when a man thinks the mean is different from the accepted mean and he has used ONLY data from himself and it shows that his mean must be different to his mean, State, giving a reason, whether or not the calculations in part (c) support the

man’s claim

mu = calculated value < accepted mean so yes supports the man’s claim

giving a reason for your answer, explain what Sam should conclude about the

daily mean wind direction in Hurn [value given is that in the critical region given and the value is the number of days out of 36 on which the wind directiojn bearing is between 135° and 225° and he believes that each wind direction is equally likely and the alternative hypothesis is that p = 0.25 for X distribution ]

Test statistic is in critical region so evidence to reject

e.g. Significant evidence that the daily mean wind

directions are not all equally likely (oe