A glaciologist suggests that there is a negative correlation between the concentration of a specific microplastic, $p$ parts per billion, in snow samples and the distance, $d$ km, from the nearest research station.

The glaciologist analyzed a random sample of 25 locations and calculated the product moment correlation coefficient (PMCC) between the microplastic concentration and distance to be $- 0.415$ .

Carry out a hypothesis test at the 5% significance level to determine if this sample provides sufficient evidence to support the glaciologist's suggestion.

For $n = 25$ , the critical value for a one-tailed test at the 5% level for the population correlation coefficient is $0.3365$ .

The glaciologist analyzed a random sample of 25 locations and calculated the product moment correlation coefficient (PMCC) between the microplastic concentration and distance to be $- 0.415$ .

Carry out a hypothesis test at the 5% significance level to determine if this sample provides sufficient evidence to support the glaciologist's suggestion.

For $n = 25$ , the critical value for a one-tailed test at the 5% level for the population correlation coefficient is $0.3365$ .

1.3 Hypothesis Testing for Zero Correlation

Question 46

Markscheme

1.3 Hypothesis Testing for Zero Correlation

Question 46

Markscheme

1.3 Hypothesis Testing for Zero Correlation

Question 46

1.3 Hypothesis Testing for Zero Correlation Questions

1.3 Hypothesis Testing for Zero Correlation

Question 46

1.3 Hypothesis Testing for Zero Correlation Questions