A
What hypothesis states that there is no change or no difference?
Null hypothesis (H₀)
Claim: “50% of voters support the candidate.” Write H₀.
H₀: p = 0.50
If H₁: p ≠ 0.40, what type of test is this?
Two-tailed test
True or False: The null hypothesis always contains the equal sign (=).
True
Identify the null hypothesis: “The proportion of voters is 55%.”
H₀: p = 0.55
Write the null hypothesis if a school claims that 60% of students bring lunch from home.
H₀: p = 0.60
Claim: “More than 30% of students use TikTok daily.” Write Hₐ.
Hₐ: p > 0.30
If Hₐ: p > 0.25, what type of test is this?
Right-tailed test
Which comes first: writing hypotheses or computing the test statistic?
Writing hypotheses
What part of hypothesis testing tells whether to reject H₀?
Test statistic compared to rejection region / critical value
Which hypothesis uses symbols like ≠, <, or > ?
Alternative hypothesis
Claim: “Less than 20% of households recycle.” Write both H₀ and Hₐ.
H₀: p = 0.20
Hₐ: p < 0.20
If Hₐ: p < 0.10, what type of test is this?
Left-tailed test
If 18 out of 60 students like math, what is p̂ ?
18/60 = 0.30
A claim says “less than 40% are satisfied.” Which hypothesis is this: H₀ or Hₐ?
Alternative hypothesis
A store claims that 40% of customers buy online. A researcher thinks it is less. State the alternative hypothesis.
Hₐ : p < 0.40
Claim: “The proportion of defective items is not equal to 5%.” Write Hₐ.
Hₐ: p ≠ 0.05
More than 50% prefer online classes.” What tail is used
Right-tailed test
Which symbol is correct for “at most”?
≤
What happens to Hₐ if H₀ is rejected?
Hₐ is accepted / supported
If the claim says “at least 75%”, what symbol should be used in the null hypothesis?
≥ or =
A teacher believes that more than 60% of students passed the exam. Write both hypotheses.
H₀: p = 0.60
Hₐ: p > 0.60
“The proportion is different from 30%.” What tail is used?
Two-tailed test
What letter is usually used to represent population proportion?
p
Why do we use sample proportion instead of population proportion?
Because the population proportion is unknown