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A hypothesis is true, but is rejected, this is an error of type

• I
• II
• I and II
• NONE

A random sample of 400 products contains 52 defective items. Standard error of proportion is

• 0.168
• 0.0168
• 0.016
• 1.68

500 eggs are taken from a large consignment and 50 are found to be bad. Standard error of proportion is

• 1.3
• 0.13
• 0.013
• None

Among 900 people in a state 90 are found to be chapati eaters. The 90% confidence interval for true proportion is

• (0.08, 0.12)
• (0.8, 1.2)
• (0.7, 0.13)
• NONE

In a random sample of 160 workers exposed to a certain amount of radiation, 24 experienced some ill effects. The 99% confidence interval for the true proportion is

• (0.065, 0.234)
• (0.65, 0.23)
• (0.56, 0.023)
• NONE

A manufacturer of electric bulbs claims that the percentage defectives in his product does not exceed 6. A sample of 40 bulbs is found to contain 5 defectives. The test statistic |Z| =

• 0.24
• 1.24
• 0.024
• 1.12

The mean of the binomial distribution is

• np
• n+p
• n-p
• NONE

The standard deviation of a binomial distribution is

• np(1 – p)
• √np
• √np(1 – p)
• n√p

If mean of the binomial distribution is 8 and variance is 6, the mode of this distribution is

• 6
• 7
• 8
• 9

The probability of getting four heads in six tosses of a fair coin is

• 15/64
• 5/16
• 3/8
• 1/2