Question

A student pursuing a degree in English as a second language believes the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak English. To test her claim she randomly selects 246 female factory workers and out of them 52 could not speak English. She then randomly selects 207 male factory workers and out of them 57 could not speak English. Test her claim at αα =0.05 to see if she was right. The correct hypotheses are:

• H0:pF≤pMH0:pF≤pM
  HA:pF>pMHA:pF>pM (claim)
• H0:pF≥pMH0:pF≥pM
  HA:pF<pMHA:pF<pM (claim)
• H0:pF=pMH0:pF=pM
  HA:pF≠pMHA:pF≠pM (claim)

Since the level of significance is 0.10 the critical value is -1.282

The test statistic is: (round to 3 places)

The p-value is: (round to 3 places)

The decision can be made to:

• reject H0H0
• do not reject H0H0

The final conclusion is that:

• There is enough evidence to reject the claim that the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak English.
• There is not enough evidence to reject the claim that the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak English.
• There is enough evidence to support the claim that the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak English.
• There is not enough evidence to support the claim that the proportion female factory workers who can't speak English is less than the proportion of male factory workers who can't speak English.

Answer 1