Level of significance of $3\%$ is same as ______________ . 

The rejection of null hypothesis when it is true is called as __________ .

A statistical abstract reported that 17% of adults attended a musical play in the past year. To test this claim, a researcher surveyed 90 people and found that 22 had attended a musical play in the past year at the 0.05 significance level, test the claim that this figure is corrected. 

Consider a hypothesis where ${\mathrm{H}}_0:\mathrm{\sigma }=30$ and ${\mathrm{H}}_1:\mathrm{\sigma }<30$ then the test is called ___________ .  

Assume the blood sugar levels in a certain group of diabetic people have mean $\mathrm{\mu }=200$ and standard deviation $\mathrm{\sigma }=24$ . The sugar levels for a random sample of $\mathrm{n}=9$ individuals are measured and the sample mean $\overline{\mathrm{x}}$ is determined. What is the test statistics $\mathrm{z}$ for a sample mean $\overline{\mathrm{x}}=180$ ? 

A statistical abstract reported that in the last year  17% of students participated in a technical festival organised by a college. To test this claim, a researcher surveyed 90 students and found that 22 had participated in a technical festival in the last year at $0.05$ significance level, test the claim that this figure is correct. ${\mathrm{z}}_{0.05}=1.96$  

In the class of 75 , 13 students are left handed. Does this class fit the prevailing theory that 16% of people are left handed? $[{\mathrm{\chi }}^2 \mathrm{at} 5\% \mathrm{level} \mathrm{of} \mathrm{significance} \mathrm{for} 1 \mathrm{df} \mathrm{is} 0.95]$  

Two random samples having the following data:

Test whether the samples come from the same normal population. $[\mathrm{F} \mathrm{for} 3 \mathrm{and} 4 \mathrm{df} \mathrm{is} 3.34]$  

Test statistics for correlation coefficient is __________ . 

For $\mathrm{sample}-\mathrm{I}$ , ${\mathrm{n}}_1=22$ , ${\mathrm{s}}_1=0.5$ , $\overline{\mathrm{x}}=1.3$ and for $\mathrm{sample}-\mathrm{II}$ , ${\mathrm{n}}_2=24$ , ${\mathrm{s}}_2=0.3$ , $\overline{\mathrm{y}}=1.6$ . Discuss the significance of the difference of the means. $[{\mathrm{z}}_{0.05}=1.96]$ .