Question

Studies show that 10% of the population is left-handed. In a study with 186 students, only 16 were left-handed. Does this suggest that left-handed students are underrepresented in this study? Use α = 0.1.

Answer 1

p : Population Proportion of left-handed

Hypothesized proportion of left-handed =10/100=0.1

To test left-handed students are underrepresented in this study

Null hypothesis : p=0.1

Alternate hypothesis: p < 0.1

Left tailed test

Number of students in the study : Sample size : n=186

Number of left-handed : x = 16

Sample proportion of left handed : =16/186

p-value for left tailed test :

p-value = 0.2626

As P-Value i.e. is greater than Level of significance i.e (P-value:0.2626 > 0.1:Level of significance); Fail to Reject Null Hypothesis

There is not enough evidence to conclude that the proportion of left-handed is less than 0.1

There is not enough evidence to suggest that the left-handed students are underrepresented in this study